How to Find GCF of 2137/508, 6161/7088?

GCF of 2137/508, 6161/7088

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 2137/508, 6161/7088 i.e 1/900176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2137/508, 6161/7088.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2137/508,6161/7088?

Given fractions are 2137/508,6161/7088

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 2137/508,6161/7088, numerators are 2137,6161

Denominators are 508,7088

The GCF of 2137,6161 is 1 .

LCM of 508,7088 is 900176.

The greatest common factor of 2137/508,6161/7088 = [GCF of 2137,6161]/[LCM of 508,7088]= 1/900176

Therefore, the GCF of 2137/508,6161/7088 is 1/900176.

Greatest Common Factor of 2137,6161

To find the highest common factor of 2137,6161, we have to find the factors of both numbers and list the highest common factor.

The factors of 2137 are 1, 2137

The factors of 6161 are 1, 61, 101, 6161

The HCF of 2137,6161 is 1.

Lets's calculate GCF of 2137,6161

Greatest Common Factor (GCF) of 2137,6161 By Common Division

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

Greatest Common Factor of 2137,6161 By Matching Biggest Common Factor Method

Now, list down the factors of 2137

1,2137

Now, list down the factors of 6161

1,61,101,6161

Greatest Common Factor

We found the factors 2137,6161 . The biggest common factor number is the GCF number.
So the greatest common factor 2137,6161 is 1.

Lets's calculate LCM of 508,7088

Lowest Common Multiple of 508,7088 using Common Division

2	508, 7088
2	254, 3544
	127, 1772

∴ So the LCM of the given numbers is 2 x 2 x 127 x 1772 = 900176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900176

Therefore, the GCF of Fractions 2137/508,6161/7088 is 1/900176

Least Common Multiple of 508,7088 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 508,7088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,7088) = 4

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

GCF(508,7088) x common factors =4 x 1 = 4

LCM(508,7088) = ( 508 × 7088 ) / 4

LCM(508,7088) = 3600704 / 4

LCM(508,7088) = 900176

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FAQs on GCF of Fractions of 2137/508, 6161/7088

1. What is the HCF of 2137,6161?

The HCF of 2137,6161 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 2137/508, 6161/7088?

Answer: GCF of Numerators as per given numbers 2137/508, 6161/7088 is

GCF of Numerators i.e. for 2137,6161 is 1

LCM of denominators i.e. for 508,7088 is 900176.

Thus, GCF of Fractions is 1/900176.Finally, GCF of Fractions for 2137/508, 6161/7088 is 1/900176.