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GCF of 776/676, 142/941

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 776/676, 142/941 i.e 2/636116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/676, 142/941.

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 776/676,142/941?

Given fractions are 776/676,142/941

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 776/676,142/941, numerators are 776,142

Denominators are 676,941

The GCF of 776,142 is 2 .

LCM of 676,941 is 636116.

The greatest common factor of 776/676,142/941 = [GCF of 776,142]/[LCM of 676,941]= 2/636116

Therefore, the GCF of 776/676,142/941 is 2/636116.

Greatest Common Factor of 776,142

To find the highest common factor of 776,142, we have to find the factors of both numbers and list the highest common factor.

The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776

The factors of 142 are 1, 2, 71, 142

The HCF of 776,142 is 2.

Lets's calculate GCF of 776,142

Greatest Common Factor (GCF) of 776,142 By Common Division

2 776, 142
388, 71

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

Greatest Common Factor of 776,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,142 By Matching Biggest Common Factor Method

Now, list down the factors of 776

:

1,2,4,8,97,194,388,776

Now, list down the factors of 142

:

1,2,71,142

Greatest Common Factor

We found the factors 776,142 . The biggest common factor number is the GCF number.
So the greatest common factor 776,142 is 2.

Lets's calculate LCM of 676,941

Lowest Common Multiple of 676,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 636116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/636116

Therefore, the GCF of Fractions 776/676,142/941 is 2/636116

Least Common Multiple of 676,941 with GCF Formula

Least Common Multiple of 676,941 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 676,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,941) = 1

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

GCF(676,941) x common factors =1 x 1 = 1

LCM(676,941) = ( 676 × 941 ) / 1

LCM(676,941) = 636116 / 1

LCM(676,941) = 636116


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FAQs on GCF of Fractions of 776/676, 142/941

1. What is the HCF of 776,142?

The HCF of 776,142 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 776/676, 142/941?

Answer: GCF of Numerators as per given numbers 776/676, 142/941 is

GCF of Numerators i.e. for 776,142 is 2

LCM of denominators i.e. for 676,941 is 636116.

Thus, GCF of Fractions is 2/636116.Finally, GCF of Fractions for 776/676, 142/941 is 2/636116.