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GCF of 276/351, 778/422

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 276/351, 778/422 i.e 2/148122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 276/351, 778/422.

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 276/351,778/422?

Given fractions are 276/351,778/422

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 276/351,778/422, numerators are 276,778

Denominators are 351,422

The GCF of 276,778 is 2 .

LCM of 351,422 is 148122.

The greatest common factor of 276/351,778/422 = [GCF of 276,778]/[LCM of 351,422]= 2/148122

Therefore, the GCF of 276/351,778/422 is 2/148122.

Greatest Common Factor of 276,778

To find the highest common factor of 276,778, we have to find the factors of both numbers and list the highest common factor.

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

The factors of 778 are 1, 2, 389, 778

The HCF of 276,778 is 2.

Lets's calculate GCF of 276,778

Greatest Common Factor (GCF) of 276,778 By Common Division

2 276, 778
138, 389

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

Greatest Common Factor of 276,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,778 By Matching Biggest Common Factor Method

Now, list down the factors of 276

:

1,2,3,4,6,12,23,46,69,92,138,276

Now, list down the factors of 778

:

1,2,389,778

Greatest Common Factor

We found the factors 276,778 . The biggest common factor number is the GCF number.
So the greatest common factor 276,778 is 2.

Lets's calculate LCM of 351,422

Lowest Common Multiple of 351,422 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148122

Therefore, the GCF of Fractions 276/351,778/422 is 2/148122

Least Common Multiple of 351,422 with GCF Formula

Least Common Multiple of 351,422 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 351,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,422) = 1

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

GCF(351,422) x common factors =1 x 1 = 1

LCM(351,422) = ( 351 × 422 ) / 1

LCM(351,422) = 148122 / 1

LCM(351,422) = 148122


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FAQs on GCF of Fractions of 276/351, 778/422

1. What is the HCF of 276,778?

The HCF of 276,778 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 276/351, 778/422?

Answer: GCF of Numerators as per given numbers 276/351, 778/422 is

GCF of Numerators i.e. for 276,778 is 2

LCM of denominators i.e. for 351,422 is 148122.

Thus, GCF of Fractions is 2/148122.Finally, GCF of Fractions for 276/351, 778/422 is 2/148122.