How to Find GCF of 970/656, 1350/5771?

GCF of 970/656, 1350/5771

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 970/656, 1350/5771 i.e 10/3785776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/656, 1350/5771.

Enter two or more fractions separated by "commas"

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

What is the GCF of 970/656,1350/5771?

Given fractions are 970/656,1350/5771

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 970/656,1350/5771, numerators are 970,1350

Denominators are 656,5771

The GCF of 970,1350 is 10 .

LCM of 656,5771 is 3785776.

The greatest common factor of 970/656,1350/5771 = [GCF of 970,1350]/[LCM of 656,5771]= 10/3785776

Therefore, the GCF of 970/656,1350/5771 is 10/3785776.

Greatest Common Factor of 970,1350

To find the highest common factor of 970,1350, we have to find the factors of both numbers and list the highest common factor.

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350

The HCF of 970,1350 is 10.

Lets's calculate GCF of 970,1350

Greatest Common Factor (GCF) of 970,1350 By Common Division

2	970, 1350
5	485, 675
	97, 135

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 970,1350 By Matching Biggest Common Factor Method

Now, list down the factors of 970

1,2,5,10,97,194,485,970

Now, list down the factors of 1350

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350

Greatest Common Factor

We found the factors 970,1350 . The biggest common factor number is the GCF number.
So the greatest common factor 970,1350 is 10.

Lets's calculate LCM of 656,5771

Lowest Common Multiple of 656,5771 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3785776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3785776

Therefore, the GCF of Fractions 970/656,1350/5771 is 10/3785776

Least Common Multiple of 656,5771 with GCF Formula

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

We need to calculate greatest common factor of 656,5771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,5771) = 1

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

GCF(656,5771) x common factors =1 x 1 = 1

LCM(656,5771) = ( 656 × 5771 ) / 1

LCM(656,5771) = 3785776 / 1

LCM(656,5771) = 3785776

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 970/656, 1350/5771

1. What is the HCF of 970,1350?

The HCF of 970,1350 is 10

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 970/656, 1350/5771?

Answer: GCF of Numerators as per given numbers 970/656, 1350/5771 is

GCF of Numerators i.e. for 970,1350 is 10

LCM of denominators i.e. for 656,5771 is 3785776.

Thus, GCF of Fractions is 10/3785776.Finally, GCF of Fractions for 970/656, 1350/5771 is 10/3785776.