How to Find GCF of 5653/392, 8696/853?

GCF of 5653/392, 8696/853

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 5653/392, 8696/853 i.e 1/334376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5653/392, 8696/853.

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 5653/392,8696/853?

Given fractions are 5653/392,8696/853

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 5653/392,8696/853, numerators are 5653,8696

Denominators are 392,853

The GCF of 5653,8696 is 1 .

LCM of 392,853 is 334376.

The greatest common factor of 5653/392,8696/853 = [GCF of 5653,8696]/[LCM of 392,853]= 1/334376

Therefore, the GCF of 5653/392,8696/853 is 1/334376.

Greatest Common Factor of 5653,8696

To find the highest common factor of 5653,8696, we have to find the factors of both numbers and list the highest common factor.

The factors of 5653 are 1, 5653

The factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696

The HCF of 5653,8696 is 1.

Lets's calculate GCF of 5653,8696

Greatest Common Factor (GCF) of 5653,8696 By Common Division

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

Greatest Common Factor of 5653,8696 By Matching Biggest Common Factor Method

Now, list down the factors of 5653

1,5653

Now, list down the factors of 8696

1,2,4,8,1087,2174,4348,8696

Greatest Common Factor

We found the factors 5653,8696 . The biggest common factor number is the GCF number.
So the greatest common factor 5653,8696 is 1.

Lets's calculate LCM of 392,853

Lowest Common Multiple of 392,853 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 334376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334376

Therefore, the GCF of Fractions 5653/392,8696/853 is 1/334376

Least Common Multiple of 392,853 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 392,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,853) = 1

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

GCF(392,853) x common factors =1 x 1 = 1

LCM(392,853) = ( 392 × 853 ) / 1

LCM(392,853) = 334376 / 1

LCM(392,853) = 334376

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FAQs on GCF of Fractions of 5653/392, 8696/853

1. What is the HCF of 5653,8696?

The HCF of 5653,8696 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 5653/392, 8696/853?

Answer: GCF of Numerators as per given numbers 5653/392, 8696/853 is

GCF of Numerators i.e. for 5653,8696 is 1

LCM of denominators i.e. for 392,853 is 334376.

Thus, GCF of Fractions is 1/334376.Finally, GCF of Fractions for 5653/392, 8696/853 is 1/334376.