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GCF of 2957/594, 1637/700

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 2957/594, 1637/700 i.e 1/207900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2957/594, 1637/700.

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 2957/594,1637/700?

Given fractions are 2957/594,1637/700

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 2957/594,1637/700, numerators are 2957,1637

Denominators are 594,700

The GCF of 2957,1637 is 1 .

LCM of 594,700 is 207900.

The greatest common factor of 2957/594,1637/700 = [GCF of 2957,1637]/[LCM of 594,700]= 1/207900

Therefore, the GCF of 2957/594,1637/700 is 1/207900.

Greatest Common Factor of 2957,1637

To find the highest common factor of 2957,1637, we have to find the factors of both numbers and list the highest common factor.

The factors of 2957 are 1, 2957

The factors of 1637 are 1, 1637

The HCF of 2957,1637 is 1.

Lets's calculate GCF of 2957,1637

Greatest Common Factor (GCF) of 2957,1637 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2957,1637 By Matching Biggest Common Factor Method

Greatest Common Factor of 2957,1637 By Matching Biggest Common Factor Method

Now, list down the factors of 2957

:

1,2957

Now, list down the factors of 1637

:

1,1637

Greatest Common Factor

We found the factors 2957,1637 . The biggest common factor number is the GCF number.
So the greatest common factor 2957,1637 is 1.

Lets's calculate LCM of 594,700

Lowest Common Multiple of 594,700 using Common Division

2 594, 700
297, 350

∴ So the LCM of the given numbers is 2 x 297 x 350 = 207900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207900

Therefore, the GCF of Fractions 2957/594,1637/700 is 1/207900

Least Common Multiple of 594,700 with GCF Formula

Least Common Multiple of 594,700 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 594,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,700) = 2

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

GCF(594,700) x common factors =2 x 1 = 2

LCM(594,700) = ( 594 × 700 ) / 2

LCM(594,700) = 415800 / 2

LCM(594,700) = 207900


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FAQs on GCF of Fractions of 2957/594, 1637/700

1. What is the HCF of 2957,1637?

The HCF of 2957,1637 is 1

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 2957/594, 1637/700?

Answer: GCF of Numerators as per given numbers 2957/594, 1637/700 is

GCF of Numerators i.e. for 2957,1637 is 1

LCM of denominators i.e. for 594,700 is 207900.

Thus, GCF of Fractions is 1/207900.Finally, GCF of Fractions for 2957/594, 1637/700 is 1/207900.