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GCF of 220/65, 286/531

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 220/65, 286/531 i.e 22/34515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/65, 286/531.

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 220/65,286/531?

Given fractions are 220/65,286/531

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 220/65,286/531, numerators are 220,286

Denominators are 65,531

The GCF of 220,286 is 22 .

LCM of 65,531 is 34515.

The greatest common factor of 220/65,286/531 = [GCF of 220,286]/[LCM of 65,531]= 22/34515

Therefore, the GCF of 220/65,286/531 is 22/34515.

Greatest Common Factor of 220,286

To find the highest common factor of 220,286, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 220,286 is 22.

Lets's calculate GCF of 220,286

Greatest Common Factor (GCF) of 220,286 By Common Division

2 220, 286
11 110, 143
10, 13

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 220,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,286 By Matching Biggest Common Factor Method

Now, list down the factors of 220

:

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

Now, list down the factors of 286

:

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 220,286 . The biggest common factor number is the GCF number.
So the greatest common factor 220,286 is 22.

Lets's calculate LCM of 65,531

Lowest Common Multiple of 65,531 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/34515

Therefore, the GCF of Fractions 220/65,286/531 is 22/34515

Least Common Multiple of 65,531 with GCF Formula

Least Common Multiple of 65,531 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 65,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,531) = 1

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

GCF(65,531) x common factors =1 x 1 = 1

LCM(65,531) = ( 65 × 531 ) / 1

LCM(65,531) = 34515 / 1

LCM(65,531) = 34515


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FAQs on GCF of Fractions of 220/65, 286/531

1. What is the HCF of 220,286?

The HCF of 220,286 is 22

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 220/65, 286/531?

Answer: GCF of Numerators as per given numbers 220/65, 286/531 is

GCF of Numerators i.e. for 220,286 is 22

LCM of denominators i.e. for 65,531 is 34515.

Thus, GCF of Fractions is 22/34515.Finally, GCF of Fractions for 220/65, 286/531 is 22/34515.