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 70/44, 817/49, 621/189

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 70/44, 817/49, 621/189 i.e 1/58212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/44, 817/49, 621/189.

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 70/44,817/49,621/189?

Given fractions are 70/44,817/49,621/189

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 70/44,817/49,621/189, numerators are 70,817,621

Denominators are 44,49,189

The GCF of 70,817,621 is 1 .

LCM of 44,49,189 is 58212.

The greatest common factor of 70/44,817/49,621/189 = [GCF of 70,817,621]/[LCM of 44,49,189]= 1/58212

Therefore, the GCF of 70/44,817/49,621/189 is 1/58212.

Greatest Common Factor of 70,817,621

To find the highest common factor of 70,817,621, we have to find the factors of both numbers and list the highest common factor.

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 817 are 1, 19, 43, 817

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621

The HCF of 70,817,621 is 1.

Lets's calculate GCF of 70,817,621

Greatest Common Factor (GCF) of 70,817,621 By Common Division

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

Greatest Common Factor of 70,817,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,817,621 By Matching Biggest Common Factor Method

Now, list down the factors of 70

:

1,2,5,7,10,14,35,70

Now, list down the factors of 817

:

1,19,43,817

Now, list down the factors of 621

:

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 70,817,621 . The biggest common factor number is the GCF number.
So the greatest common factor 70,817,621 is 1.


Lets's calculate LCM of 44,49,189

Lowest Common Multiple of 44,49,189 using Common Division

7 44, 49, 189
44, 7, 27

∴ So the LCM of the given numbers is 7 x 44 x 7 x 27 = 58212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58212

Therefore, the GCF of Fractions 70/44,817/49,621/189 is 1/58212

Least Common Multiple of 44,49,189 with GCF Formula

Least Common Multiple of 44,49,189 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 44,49,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,49,189) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(44,49,189) x common factors =1 x 7 = 7

LCM(44,49,189) = ( 44 × 49 × 189 ) / 7

LCM(44,49,189) = 407484 / 7

LCM(44,49,189) = 58212


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 70/44, 817/49, 621/189

1. What is the HCF of 70,817,621?

The HCF of 70,817,621 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 70/44, 817/49, 621/189?

Answer: GCF of Numerators as per given numbers 70/44, 817/49, 621/189 is

GCF of Numerators i.e. for 70,817,621 is 1

LCM of denominators i.e. for 44,49,189 is 58212.

Thus, GCF of Fractions is 1/58212.Finally, GCF of Fractions for 70/44, 817/49, 621/189 is 1/58212.