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GCF of 535/211, 5695/682

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 535/211, 5695/682 i.e 5/143902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 535/211, 5695/682.

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 535/211,5695/682?

Given fractions are 535/211,5695/682

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 535/211,5695/682, numerators are 535,5695

Denominators are 211,682

The GCF of 535,5695 is 5 .

LCM of 211,682 is 143902.

The greatest common factor of 535/211,5695/682 = [GCF of 535,5695]/[LCM of 211,682]= 5/143902

Therefore, the GCF of 535/211,5695/682 is 5/143902.

Greatest Common Factor of 535,5695

To find the highest common factor of 535,5695, we have to find the factors of both numbers and list the highest common factor.

The factors of 535 are 1, 5, 107, 535

The factors of 5695 are 1, 5, 17, 67, 85, 335, 1139, 5695

The HCF of 535,5695 is 5.

Lets's calculate GCF of 535,5695

Greatest Common Factor (GCF) of 535,5695 By Common Division

5 535, 5695
107, 1139

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 535,5695 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,5695 By Matching Biggest Common Factor Method

Now, list down the factors of 535

:

1,5,107,535

Now, list down the factors of 5695

:

1,5,17,67,85,335,1139,5695

Greatest Common Factor

We found the factors 535,5695 . The biggest common factor number is the GCF number.
So the greatest common factor 535,5695 is 5.

Lets's calculate LCM of 211,682

Lowest Common Multiple of 211,682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 143902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/143902

Therefore, the GCF of Fractions 535/211,5695/682 is 5/143902

Least Common Multiple of 211,682 with GCF Formula

Least Common Multiple of 211,682 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 211,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,682) = 1

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

GCF(211,682) x common factors =1 x 1 = 1

LCM(211,682) = ( 211 × 682 ) / 1

LCM(211,682) = 143902 / 1

LCM(211,682) = 143902


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FAQs on GCF of Fractions of 535/211, 5695/682

1. What is the HCF of 535,5695?

The HCF of 535,5695 is 5

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 535/211, 5695/682?

Answer: GCF of Numerators as per given numbers 535/211, 5695/682 is

GCF of Numerators i.e. for 535,5695 is 5

LCM of denominators i.e. for 211,682 is 143902.

Thus, GCF of Fractions is 5/143902.Finally, GCF of Fractions for 535/211, 5695/682 is 5/143902.