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GCF of 937/210, 2488/779

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 937/210, 2488/779 i.e 1/163590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/210, 2488/779.

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 937/210,2488/779?

Given fractions are 937/210,2488/779

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 937/210,2488/779, numerators are 937,2488

Denominators are 210,779

The GCF of 937,2488 is 1 .

LCM of 210,779 is 163590.

The greatest common factor of 937/210,2488/779 = [GCF of 937,2488]/[LCM of 210,779]= 1/163590

Therefore, the GCF of 937/210,2488/779 is 1/163590.

Greatest Common Factor of 937,2488

To find the highest common factor of 937,2488, we have to find the factors of both numbers and list the highest common factor.

The factors of 937 are 1, 937

The factors of 2488 are 1, 2, 4, 8, 311, 622, 1244, 2488

The HCF of 937,2488 is 1.

Lets's calculate GCF of 937,2488

Greatest Common Factor (GCF) of 937,2488 By Common Division

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

Greatest Common Factor of 937,2488 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,2488 By Matching Biggest Common Factor Method

Now, list down the factors of 937

:

1,937

Now, list down the factors of 2488

:

1,2,4,8,311,622,1244,2488

Greatest Common Factor

We found the factors 937,2488 . The biggest common factor number is the GCF number.
So the greatest common factor 937,2488 is 1.

Lets's calculate LCM of 210,779

Lowest Common Multiple of 210,779 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 163590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163590

Therefore, the GCF of Fractions 937/210,2488/779 is 1/163590

Least Common Multiple of 210,779 with GCF Formula

Least Common Multiple of 210,779 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 210,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,779) = 1

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

GCF(210,779) x common factors =1 x 1 = 1

LCM(210,779) = ( 210 × 779 ) / 1

LCM(210,779) = 163590 / 1

LCM(210,779) = 163590


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FAQs on GCF of Fractions of 937/210, 2488/779

1. What is the HCF of 937,2488?

The HCF of 937,2488 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 937/210, 2488/779?

Answer: GCF of Numerators as per given numbers 937/210, 2488/779 is

GCF of Numerators i.e. for 937,2488 is 1

LCM of denominators i.e. for 210,779 is 163590.

Thus, GCF of Fractions is 1/163590.Finally, GCF of Fractions for 937/210, 2488/779 is 1/163590.