How to Find GCF of 9007/181, 9751/7157?

GCF of 9007/181, 9751/7157

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 9007/181, 9751/7157 i.e 1/1295417 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9007/181, 9751/7157.

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 9007/181,9751/7157?

Given fractions are 9007/181,9751/7157

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 9007/181,9751/7157, numerators are 9007,9751

Denominators are 181,7157

The GCF of 9007,9751 is 1 .

LCM of 181,7157 is 1295417.

The greatest common factor of 9007/181,9751/7157 = [GCF of 9007,9751]/[LCM of 181,7157]= 1/1295417

Therefore, the GCF of 9007/181,9751/7157 is 1/1295417.

Greatest Common Factor of 9007,9751

To find the highest common factor of 9007,9751, we have to find the factors of both numbers and list the highest common factor.

The factors of 9007 are 1, 9007

The factors of 9751 are 1, 7, 49, 199, 1393, 9751

The HCF of 9007,9751 is 1.

Lets's calculate GCF of 9007,9751

Greatest Common Factor (GCF) of 9007,9751 By Common Division

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

Greatest Common Factor of 9007,9751 By Matching Biggest Common Factor Method

Now, list down the factors of 9007

1,9007

Now, list down the factors of 9751

1,7,49,199,1393,9751

Greatest Common Factor

We found the factors 9007,9751 . The biggest common factor number is the GCF number.
So the greatest common factor 9007,9751 is 1.

Lets's calculate LCM of 181,7157

Lowest Common Multiple of 181,7157 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1295417

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1295417

Therefore, the GCF of Fractions 9007/181,9751/7157 is 1/1295417

Least Common Multiple of 181,7157 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 181,7157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,7157) = 1

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

GCF(181,7157) x common factors =1 x 1 = 1

LCM(181,7157) = ( 181 × 7157 ) / 1

LCM(181,7157) = 1295417 / 1

LCM(181,7157) = 1295417

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FAQs on GCF of Fractions of 9007/181, 9751/7157

1. What is the HCF of 9007,9751?

The HCF of 9007,9751 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 9007/181, 9751/7157?

Answer: GCF of Numerators as per given numbers 9007/181, 9751/7157 is

GCF of Numerators i.e. for 9007,9751 is 1

LCM of denominators i.e. for 181,7157 is 1295417.

Thus, GCF of Fractions is 1/1295417.Finally, GCF of Fractions for 9007/181, 9751/7157 is 1/1295417.