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GCF of 565/795, 853/853

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 565/795, 853/853 i.e 1/678135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/795, 853/853.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 565/795,853/853?

Given fractions are 565/795,853/853

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 565/795,853/853, numerators are 565,853

Denominators are 795,853

The GCF of 565,853 is 1 .

LCM of 795,853 is 678135.

The greatest common factor of 565/795,853/853 = [GCF of 565,853]/[LCM of 795,853]= 1/678135

Therefore, the GCF of 565/795,853/853 is 1/678135.

Greatest Common Factor of 565,853

To find the highest common factor of 565,853, we have to find the factors of both numbers and list the highest common factor.

The factors of 565 are 1, 5, 113, 565

The factors of 853 are 1, 853

The HCF of 565,853 is 1.

Lets's calculate GCF of 565,853

Greatest Common Factor (GCF) of 565,853 By Common Division

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

Greatest Common Factor of 565,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,853 By Matching Biggest Common Factor Method

Now, list down the factors of 565

:

1,5,113,565

Now, list down the factors of 853

:

1,853

Greatest Common Factor

We found the factors 565,853 . The biggest common factor number is the GCF number.
So the greatest common factor 565,853 is 1.

Lets's calculate LCM of 795,853

Lowest Common Multiple of 795,853 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 678135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/678135

Therefore, the GCF of Fractions 565/795,853/853 is 1/678135

Least Common Multiple of 795,853 with GCF Formula

Least Common Multiple of 795,853 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 795,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,853) = 1

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

GCF(795,853) x common factors =1 x 1 = 1

LCM(795,853) = ( 795 × 853 ) / 1

LCM(795,853) = 678135 / 1

LCM(795,853) = 678135


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FAQs on GCF of Fractions of 565/795, 853/853

1. What is the HCF of 565,853?

The HCF of 565,853 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 565/795, 853/853?

Answer: GCF of Numerators as per given numbers 565/795, 853/853 is

GCF of Numerators i.e. for 565,853 is 1

LCM of denominators i.e. for 795,853 is 678135.

Thus, GCF of Fractions is 1/678135.Finally, GCF of Fractions for 565/795, 853/853 is 1/678135.