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GCF of 635/280, 220/291

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 635/280, 220/291 i.e 5/81480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/280, 220/291.

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 635/280,220/291?

Given fractions are 635/280,220/291

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 635/280,220/291, numerators are 635,220

Denominators are 280,291

The GCF of 635,220 is 5 .

LCM of 280,291 is 81480.

The greatest common factor of 635/280,220/291 = [GCF of 635,220]/[LCM of 280,291]= 5/81480

Therefore, the GCF of 635/280,220/291 is 5/81480.

Greatest Common Factor of 635,220

To find the highest common factor of 635,220, we have to find the factors of both numbers and list the highest common factor.

The factors of 635 are 1, 5, 127, 635

The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

The HCF of 635,220 is 5.

Lets's calculate GCF of 635,220

Greatest Common Factor (GCF) of 635,220 By Common Division

5 635, 220
127, 44

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

Greatest Common Factor of 635,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,220 By Matching Biggest Common Factor Method

Now, list down the factors of 635

:

1,5,127,635

Now, list down the factors of 220

:

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 635,220 . The biggest common factor number is the GCF number.
So the greatest common factor 635,220 is 5.

Lets's calculate LCM of 280,291

Lowest Common Multiple of 280,291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 81480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/81480

Therefore, the GCF of Fractions 635/280,220/291 is 5/81480

Least Common Multiple of 280,291 with GCF Formula

Least Common Multiple of 280,291 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 280,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,291) = 1

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

GCF(280,291) x common factors =1 x 1 = 1

LCM(280,291) = ( 280 × 291 ) / 1

LCM(280,291) = 81480 / 1

LCM(280,291) = 81480


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FAQs on GCF of Fractions of 635/280, 220/291

1. What is the HCF of 635,220?

The HCF of 635,220 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 635/280, 220/291?

Answer: GCF of Numerators as per given numbers 635/280, 220/291 is

GCF of Numerators i.e. for 635,220 is 5

LCM of denominators i.e. for 280,291 is 81480.

Thus, GCF of Fractions is 5/81480.Finally, GCF of Fractions for 635/280, 220/291 is 5/81480.