How to Find GCF of 7107/142, 2669/9512?

GCF of 7107/142, 2669/9512

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 7107/142, 2669/9512 i.e 1/675352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7107/142, 2669/9512.

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 7107/142,2669/9512?

Given fractions are 7107/142,2669/9512

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 7107/142,2669/9512, numerators are 7107,2669

Denominators are 142,9512

The GCF of 7107,2669 is 1 .

LCM of 142,9512 is 675352.

The greatest common factor of 7107/142,2669/9512 = [GCF of 7107,2669]/[LCM of 142,9512]= 1/675352

Therefore, the GCF of 7107/142,2669/9512 is 1/675352.

Greatest Common Factor of 7107,2669

To find the highest common factor of 7107,2669, we have to find the factors of both numbers and list the highest common factor.

The factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107

The factors of 2669 are 1, 17, 157, 2669

The HCF of 7107,2669 is 1.

Lets's calculate GCF of 7107,2669

Greatest Common Factor (GCF) of 7107,2669 By Common Division

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

Greatest Common Factor of 7107,2669 By Matching Biggest Common Factor Method

Now, list down the factors of 7107

1,3,23,69,103,309,2369,7107

Now, list down the factors of 2669

1,17,157,2669

Greatest Common Factor

We found the factors 7107,2669 . The biggest common factor number is the GCF number.
So the greatest common factor 7107,2669 is 1.

Lets's calculate LCM of 142,9512

Lowest Common Multiple of 142,9512 using Common Division

2	142, 9512
	71, 4756

∴ So the LCM of the given numbers is 2 x 71 x 4756 = 675352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675352

Therefore, the GCF of Fractions 7107/142,2669/9512 is 1/675352

Least Common Multiple of 142,9512 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 142,9512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,9512) = 2

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

GCF(142,9512) x common factors =2 x 1 = 2

LCM(142,9512) = ( 142 × 9512 ) / 2

LCM(142,9512) = 1350704 / 2

LCM(142,9512) = 675352

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FAQs on GCF of Fractions of 7107/142, 2669/9512

1. What is the HCF of 7107,2669?

The HCF of 7107,2669 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 7107/142, 2669/9512?

Answer: GCF of Numerators as per given numbers 7107/142, 2669/9512 is

GCF of Numerators i.e. for 7107,2669 is 1

LCM of denominators i.e. for 142,9512 is 675352.

Thus, GCF of Fractions is 1/675352.Finally, GCF of Fractions for 7107/142, 2669/9512 is 1/675352.