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GCF of 1756/279, 6938/367

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 1756/279, 6938/367 i.e 2/102393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1756/279, 6938/367.

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 1756/279,6938/367?

Given fractions are 1756/279,6938/367

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 1756/279,6938/367, numerators are 1756,6938

Denominators are 279,367

The GCF of 1756,6938 is 2 .

LCM of 279,367 is 102393.

The greatest common factor of 1756/279,6938/367 = [GCF of 1756,6938]/[LCM of 279,367]= 2/102393

Therefore, the GCF of 1756/279,6938/367 is 2/102393.

Greatest Common Factor of 1756,6938

To find the highest common factor of 1756,6938, we have to find the factors of both numbers and list the highest common factor.

The factors of 1756 are 1, 2, 4, 439, 878, 1756

The factors of 6938 are 1, 2, 3469, 6938

The HCF of 1756,6938 is 2.

Lets's calculate GCF of 1756,6938

Greatest Common Factor (GCF) of 1756,6938 By Common Division

2 1756, 6938
878, 3469

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

Greatest Common Factor of 1756,6938 By Matching Biggest Common Factor Method

Greatest Common Factor of 1756,6938 By Matching Biggest Common Factor Method

Now, list down the factors of 1756

:

1,2,4,439,878,1756

Now, list down the factors of 6938

:

1,2,3469,6938

Greatest Common Factor

We found the factors 1756,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 1756,6938 is 2.

Lets's calculate LCM of 279,367

Lowest Common Multiple of 279,367 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 102393

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102393

Therefore, the GCF of Fractions 1756/279,6938/367 is 2/102393

Least Common Multiple of 279,367 with GCF Formula

Least Common Multiple of 279,367 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 279,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,367) = 1

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

GCF(279,367) x common factors =1 x 1 = 1

LCM(279,367) = ( 279 × 367 ) / 1

LCM(279,367) = 102393 / 1

LCM(279,367) = 102393


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FAQs on GCF of Fractions of 1756/279, 6938/367

1. What is the HCF of 1756,6938?

The HCF of 1756,6938 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 1756/279, 6938/367?

Answer: GCF of Numerators as per given numbers 1756/279, 6938/367 is

GCF of Numerators i.e. for 1756,6938 is 2

LCM of denominators i.e. for 279,367 is 102393.

Thus, GCF of Fractions is 2/102393.Finally, GCF of Fractions for 1756/279, 6938/367 is 2/102393.