How to Find GCF of 7907/101, 7290/8938?

GCF of 7907/101, 7290/8938

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 7907/101, 7290/8938 i.e 1/902738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7907/101, 7290/8938.

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 7907/101,7290/8938?

Given fractions are 7907/101,7290/8938

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 7907/101,7290/8938, numerators are 7907,7290

Denominators are 101,8938

The GCF of 7907,7290 is 1 .

LCM of 101,8938 is 902738.

The greatest common factor of 7907/101,7290/8938 = [GCF of 7907,7290]/[LCM of 101,8938]= 1/902738

Therefore, the GCF of 7907/101,7290/8938 is 1/902738.

Greatest Common Factor of 7907,7290

To find the highest common factor of 7907,7290, we have to find the factors of both numbers and list the highest common factor.

The factors of 7907 are 1, 7907

The factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290

The HCF of 7907,7290 is 1.

Lets's calculate GCF of 7907,7290

Greatest Common Factor (GCF) of 7907,7290 By Common Division

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

Greatest Common Factor of 7907,7290 By Matching Biggest Common Factor Method

Now, list down the factors of 7907

1,7907

Now, list down the factors of 7290

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Greatest Common Factor

We found the factors 7907,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 7907,7290 is 1.

Lets's calculate LCM of 101,8938

Lowest Common Multiple of 101,8938 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 902738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/902738

Therefore, the GCF of Fractions 7907/101,7290/8938 is 1/902738

Least Common Multiple of 101,8938 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 101,8938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,8938) = 1

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

GCF(101,8938) x common factors =1 x 1 = 1

LCM(101,8938) = ( 101 × 8938 ) / 1

LCM(101,8938) = 902738 / 1

LCM(101,8938) = 902738

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FAQs on GCF of Fractions of 7907/101, 7290/8938

1. What is the HCF of 7907,7290?

The HCF of 7907,7290 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 7907/101, 7290/8938?

Answer: GCF of Numerators as per given numbers 7907/101, 7290/8938 is

GCF of Numerators i.e. for 7907,7290 is 1

LCM of denominators i.e. for 101,8938 is 902738.

Thus, GCF of Fractions is 1/902738.Finally, GCF of Fractions for 7907/101, 7290/8938 is 1/902738.