How to Find GCF of 976/931, 770/814?

GCF of 976/931, 770/814

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 976/931, 770/814 i.e 2/757834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/931, 770/814.

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 976/931,770/814?

Given fractions are 976/931,770/814

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 976/931,770/814, numerators are 976,770

Denominators are 931,814

The GCF of 976,770 is 2 .

LCM of 931,814 is 757834.

The greatest common factor of 976/931,770/814 = [GCF of 976,770]/[LCM of 931,814]= 2/757834

Therefore, the GCF of 976/931,770/814 is 2/757834.

Greatest Common Factor of 976,770

To find the highest common factor of 976,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The HCF of 976,770 is 2.

Lets's calculate GCF of 976,770

Greatest Common Factor (GCF) of 976,770 By Common Division

2	976, 770
	488, 385

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 976,770 By Matching Biggest Common Factor Method

Now, list down the factors of 976

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 770

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 976,770 . The biggest common factor number is the GCF number.
So the greatest common factor 976,770 is 2.

Lets's calculate LCM of 931,814

Lowest Common Multiple of 931,814 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 757834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/757834

Therefore, the GCF of Fractions 976/931,770/814 is 2/757834

Least Common Multiple of 931,814 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 931,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,814) = 1

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

GCF(931,814) x common factors =1 x 1 = 1

LCM(931,814) = ( 931 × 814 ) / 1

LCM(931,814) = 757834 / 1

LCM(931,814) = 757834

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FAQs on GCF of Fractions of 976/931, 770/814

1. What is the HCF of 976,770?

The HCF of 976,770 is 2

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 976/931, 770/814?

Answer: GCF of Numerators as per given numbers 976/931, 770/814 is

GCF of Numerators i.e. for 976,770 is 2

LCM of denominators i.e. for 931,814 is 757834.

Thus, GCF of Fractions is 2/757834.Finally, GCF of Fractions for 976/931, 770/814 is 2/757834.