How to Find GCF of 7682/171, 7134/6526?

GCF of 7682/171, 7134/6526

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 7682/171, 7134/6526 i.e 2/1115946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7682/171, 7134/6526.

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 7682/171,7134/6526?

Given fractions are 7682/171,7134/6526

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 7682/171,7134/6526, numerators are 7682,7134

Denominators are 171,6526

The GCF of 7682,7134 is 2 .

LCM of 171,6526 is 1115946.

The greatest common factor of 7682/171,7134/6526 = [GCF of 7682,7134]/[LCM of 171,6526]= 2/1115946

Therefore, the GCF of 7682/171,7134/6526 is 2/1115946.

Greatest Common Factor of 7682,7134

To find the highest common factor of 7682,7134, we have to find the factors of both numbers and list the highest common factor.

The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682

The factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134

The HCF of 7682,7134 is 2.

Lets's calculate GCF of 7682,7134

Greatest Common Factor (GCF) of 7682,7134 By Common Division

2	7682, 7134
	3841, 3567

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7682,7134 By Matching Biggest Common Factor Method

Now, list down the factors of 7682

1,2,23,46,167,334,3841,7682

Now, list down the factors of 7134

1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134

Greatest Common Factor

We found the factors 7682,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 7682,7134 is 2.

Lets's calculate LCM of 171,6526

Lowest Common Multiple of 171,6526 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1115946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1115946

Therefore, the GCF of Fractions 7682/171,7134/6526 is 2/1115946

Least Common Multiple of 171,6526 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 171,6526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,6526) = 1

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

GCF(171,6526) x common factors =1 x 1 = 1

LCM(171,6526) = ( 171 × 6526 ) / 1

LCM(171,6526) = 1115946 / 1

LCM(171,6526) = 1115946

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FAQs on GCF of Fractions of 7682/171, 7134/6526

1. What is the HCF of 7682,7134?

The HCF of 7682,7134 is 2

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 7682/171, 7134/6526?

Answer: GCF of Numerators as per given numbers 7682/171, 7134/6526 is

GCF of Numerators i.e. for 7682,7134 is 2

LCM of denominators i.e. for 171,6526 is 1115946.

Thus, GCF of Fractions is 2/1115946.Finally, GCF of Fractions for 7682/171, 7134/6526 is 2/1115946.