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 369/820, 140/408

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 369/820, 140/408 i.e 1/83640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 369/820, 140/408.

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 369/820,140/408?

Given fractions are 369/820,140/408

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 369/820,140/408, numerators are 369,140

Denominators are 820,408

The GCF of 369,140 is 1 .

LCM of 820,408 is 83640.

The greatest common factor of 369/820,140/408 = [GCF of 369,140]/[LCM of 820,408]= 1/83640

Therefore, the GCF of 369/820,140/408 is 1/83640.

Greatest Common Factor of 369,140

To find the highest common factor of 369,140, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

The HCF of 369,140 is 1.

Lets's calculate GCF of 369,140

Greatest Common Factor (GCF) of 369,140 By Common Division

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

Greatest Common Factor of 369,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,140 By Matching Biggest Common Factor Method

Now, list down the factors of 369

:

1,3,9,41,123,369

Now, list down the factors of 140

:

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 369,140 . The biggest common factor number is the GCF number.
So the greatest common factor 369,140 is 1.

Lets's calculate LCM of 820,408

Lowest Common Multiple of 820,408 using Common Division

2 820, 408
2 410, 204
205, 102

∴ So the LCM of the given numbers is 2 x 2 x 205 x 102 = 83640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83640

Therefore, the GCF of Fractions 369/820,140/408 is 1/83640

Least Common Multiple of 820,408 with GCF Formula

Least Common Multiple of 820,408 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 820,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,408) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(820,408) x common factors =4 x 1 = 4

LCM(820,408) = ( 820 × 408 ) / 4

LCM(820,408) = 334560 / 4

LCM(820,408) = 83640


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 369/820, 140/408

1. What is the HCF of 369,140?

The HCF of 369,140 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 369/820, 140/408?

Answer: GCF of Numerators as per given numbers 369/820, 140/408 is

GCF of Numerators i.e. for 369,140 is 1

LCM of denominators i.e. for 820,408 is 83640.

Thus, GCF of Fractions is 1/83640.Finally, GCF of Fractions for 369/820, 140/408 is 1/83640.