How to Find GCF of 8137/151, 1087/5042?

GCF of 8137/151, 1087/5042

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 8137/151, 1087/5042 i.e 1/761342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8137/151, 1087/5042.

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 8137/151,1087/5042?

Given fractions are 8137/151,1087/5042

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 8137/151,1087/5042, numerators are 8137,1087

Denominators are 151,5042

The GCF of 8137,1087 is 1 .

LCM of 151,5042 is 761342.

The greatest common factor of 8137/151,1087/5042 = [GCF of 8137,1087]/[LCM of 151,5042]= 1/761342

Therefore, the GCF of 8137/151,1087/5042 is 1/761342.

Greatest Common Factor of 8137,1087

To find the highest common factor of 8137,1087, we have to find the factors of both numbers and list the highest common factor.

The factors of 8137 are 1, 79, 103, 8137

The factors of 1087 are 1, 1087

The HCF of 8137,1087 is 1.

Lets's calculate GCF of 8137,1087

Greatest Common Factor (GCF) of 8137,1087 By Common Division

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

Greatest Common Factor of 8137,1087 By Matching Biggest Common Factor Method

Now, list down the factors of 8137

1,79,103,8137

Now, list down the factors of 1087

1,1087

Greatest Common Factor

We found the factors 8137,1087 . The biggest common factor number is the GCF number.
So the greatest common factor 8137,1087 is 1.

Lets's calculate LCM of 151,5042

Lowest Common Multiple of 151,5042 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 761342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/761342

Therefore, the GCF of Fractions 8137/151,1087/5042 is 1/761342

Least Common Multiple of 151,5042 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 151,5042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,5042) = 1

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

GCF(151,5042) x common factors =1 x 1 = 1

LCM(151,5042) = ( 151 × 5042 ) / 1

LCM(151,5042) = 761342 / 1

LCM(151,5042) = 761342

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FAQs on GCF of Fractions of 8137/151, 1087/5042

1. What is the HCF of 8137,1087?

The HCF of 8137,1087 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 8137/151, 1087/5042?

Answer: GCF of Numerators as per given numbers 8137/151, 1087/5042 is

GCF of Numerators i.e. for 8137,1087 is 1

LCM of denominators i.e. for 151,5042 is 761342.

Thus, GCF of Fractions is 1/761342.Finally, GCF of Fractions for 8137/151, 1087/5042 is 1/761342.