LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 84/23, 369/70, 662/204

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 84/23, 369/70, 662/204 i.e 1/164220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/23, 369/70, 662/204.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 84/23,369/70,662/204?

Given fractions are 84/23,369/70,662/204

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 84/23,369/70,662/204, numerators are 84,369,662

Denominators are 23,70,204

The GCF of 84,369,662 is 1 .

LCM of 23,70,204 is 164220.

The greatest common factor of 84/23,369/70,662/204 = [GCF of 84,369,662]/[LCM of 23,70,204]= 1/164220

Therefore, the GCF of 84/23,369/70,662/204 is 1/164220.

Greatest Common Factor of 84,369,662

To find the highest common factor of 84,369,662, we have to find the factors of both numbers and list the highest common factor.

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 369 are 1, 3, 9, 41, 123, 369

The factors of 662 are 1, 2, 331, 662

The HCF of 84,369,662 is 1.

Lets's calculate GCF of 84,369,662

Greatest Common Factor (GCF) of 84,369,662 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 84,369,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,369,662 By Matching Biggest Common Factor Method

Now, list down the factors of 84

:

1,2,3,4,6,7,12,14,21,28,42,84

Now, list down the factors of 369

:

1,3,9,41,123,369

Now, list down the factors of 662

:

1,2,331,662

Greatest Common Factor

We found the factors 84,369,662 . The biggest common factor number is the GCF number.
So the greatest common factor 84,369,662 is 1.


Lets's calculate LCM of 23,70,204

Lowest Common Multiple of 23,70,204 using Common Division

2 23, 70, 204
23, 35, 102

∴ So the LCM of the given numbers is 2 x 23 x 35 x 102 = 164220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164220

Therefore, the GCF of Fractions 84/23,369/70,662/204 is 1/164220

Least Common Multiple of 23,70,204 with GCF Formula

Least Common Multiple of 23,70,204 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,70,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,70,204) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,70,204) x common factors =1 x 2 = 2

LCM(23,70,204) = ( 23 × 70 × 204 ) / 2

LCM(23,70,204) = 328440 / 2

LCM(23,70,204) = 164220


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 84/23, 369/70, 662/204

1. What is the HCF of 84,369,662?

The HCF of 84,369,662 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 84/23, 369/70, 662/204?

Answer: GCF of Numerators as per given numbers 84/23, 369/70, 662/204 is

GCF of Numerators i.e. for 84,369,662 is 1

LCM of denominators i.e. for 23,70,204 is 164220.

Thus, GCF of Fractions is 1/164220.Finally, GCF of Fractions for 84/23, 369/70, 662/204 is 1/164220.