How to Find GCF of 8764/932, 1657/8601?

GCF of 8764/932, 1657/8601

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 8764/932, 1657/8601 i.e 1/8016132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8764/932, 1657/8601.

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 8764/932,1657/8601?

Given fractions are 8764/932,1657/8601

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 8764/932,1657/8601, numerators are 8764,1657

Denominators are 932,8601

The GCF of 8764,1657 is 1 .

LCM of 932,8601 is 8016132.

The greatest common factor of 8764/932,1657/8601 = [GCF of 8764,1657]/[LCM of 932,8601]= 1/8016132

Therefore, the GCF of 8764/932,1657/8601 is 1/8016132.

Greatest Common Factor of 8764,1657

To find the highest common factor of 8764,1657, we have to find the factors of both numbers and list the highest common factor.

The factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764

The factors of 1657 are 1, 1657

The HCF of 8764,1657 is 1.

Lets's calculate GCF of 8764,1657

Greatest Common Factor (GCF) of 8764,1657 By Common Division

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

Greatest Common Factor of 8764,1657 By Matching Biggest Common Factor Method

Now, list down the factors of 8764

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Now, list down the factors of 1657

1,1657

Greatest Common Factor

We found the factors 8764,1657 . The biggest common factor number is the GCF number.
So the greatest common factor 8764,1657 is 1.

Lets's calculate LCM of 932,8601

Lowest Common Multiple of 932,8601 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8016132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8016132

Therefore, the GCF of Fractions 8764/932,1657/8601 is 1/8016132

Least Common Multiple of 932,8601 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 932,8601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,8601) = 1

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

GCF(932,8601) x common factors =1 x 1 = 1

LCM(932,8601) = ( 932 × 8601 ) / 1

LCM(932,8601) = 8016132 / 1

LCM(932,8601) = 8016132

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FAQs on GCF of Fractions of 8764/932, 1657/8601

1. What is the HCF of 8764,1657?

The HCF of 8764,1657 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 8764/932, 1657/8601?

Answer: GCF of Numerators as per given numbers 8764/932, 1657/8601 is

GCF of Numerators i.e. for 8764,1657 is 1

LCM of denominators i.e. for 932,8601 is 8016132.

Thus, GCF of Fractions is 1/8016132.Finally, GCF of Fractions for 8764/932, 1657/8601 is 1/8016132.