How to Find GCF of 7292/150, 8755/6959?

GCF of 7292/150, 8755/6959

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 7292/150, 8755/6959 i.e 1/1043850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7292/150, 8755/6959.

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 7292/150,8755/6959?

Given fractions are 7292/150,8755/6959

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 7292/150,8755/6959, numerators are 7292,8755

Denominators are 150,6959

The GCF of 7292,8755 is 1 .

LCM of 150,6959 is 1043850.

The greatest common factor of 7292/150,8755/6959 = [GCF of 7292,8755]/[LCM of 150,6959]= 1/1043850

Therefore, the GCF of 7292/150,8755/6959 is 1/1043850.

Greatest Common Factor of 7292,8755

To find the highest common factor of 7292,8755, we have to find the factors of both numbers and list the highest common factor.

The factors of 7292 are 1, 2, 4, 1823, 3646, 7292

The factors of 8755 are 1, 5, 17, 85, 103, 515, 1751, 8755

The HCF of 7292,8755 is 1.

Lets's calculate GCF of 7292,8755

Greatest Common Factor (GCF) of 7292,8755 By Common Division

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

Greatest Common Factor of 7292,8755 By Matching Biggest Common Factor Method

Now, list down the factors of 7292

1,2,4,1823,3646,7292

Now, list down the factors of 8755

1,5,17,85,103,515,1751,8755

Greatest Common Factor

We found the factors 7292,8755 . The biggest common factor number is the GCF number.
So the greatest common factor 7292,8755 is 1.

Lets's calculate LCM of 150,6959

Lowest Common Multiple of 150,6959 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1043850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1043850

Therefore, the GCF of Fractions 7292/150,8755/6959 is 1/1043850

Least Common Multiple of 150,6959 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 150,6959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,6959) = 1

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

GCF(150,6959) x common factors =1 x 1 = 1

LCM(150,6959) = ( 150 × 6959 ) / 1

LCM(150,6959) = 1043850 / 1

LCM(150,6959) = 1043850

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FAQs on GCF of Fractions of 7292/150, 8755/6959

1. What is the HCF of 7292,8755?

The HCF of 7292,8755 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 7292/150, 8755/6959?

Answer: GCF of Numerators as per given numbers 7292/150, 8755/6959 is

GCF of Numerators i.e. for 7292,8755 is 1

LCM of denominators i.e. for 150,6959 is 1043850.

Thus, GCF of Fractions is 1/1043850.Finally, GCF of Fractions for 7292/150, 8755/6959 is 1/1043850.