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GCF of 131/353, 159/222

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 131/353, 159/222 i.e 1/78366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 131/353, 159/222.

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 131/353,159/222?

Given fractions are 131/353,159/222

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 131/353,159/222, numerators are 131,159

Denominators are 353,222

The GCF of 131,159 is 1 .

LCM of 353,222 is 78366.

The greatest common factor of 131/353,159/222 = [GCF of 131,159]/[LCM of 353,222]= 1/78366

Therefore, the GCF of 131/353,159/222 is 1/78366.

Greatest Common Factor of 131,159

To find the highest common factor of 131,159, we have to find the factors of both numbers and list the highest common factor.

The factors of 131 are 1, 131

The factors of 159 are 1, 3, 53, 159

The HCF of 131,159 is 1.

Lets's calculate GCF of 131,159

Greatest Common Factor (GCF) of 131,159 By Common Division

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

Greatest Common Factor of 131,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,159 By Matching Biggest Common Factor Method

Now, list down the factors of 131

:

1,131

Now, list down the factors of 159

:

1,3,53,159

Greatest Common Factor

We found the factors 131,159 . The biggest common factor number is the GCF number.
So the greatest common factor 131,159 is 1.

Lets's calculate LCM of 353,222

Lowest Common Multiple of 353,222 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 78366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78366

Therefore, the GCF of Fractions 131/353,159/222 is 1/78366

Least Common Multiple of 353,222 with GCF Formula

Least Common Multiple of 353,222 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 353,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,222) = 1

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

GCF(353,222) x common factors =1 x 1 = 1

LCM(353,222) = ( 353 × 222 ) / 1

LCM(353,222) = 78366 / 1

LCM(353,222) = 78366


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FAQs on GCF of Fractions of 131/353, 159/222

1. What is the HCF of 131,159?

The HCF of 131,159 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 131/353, 159/222?

Answer: GCF of Numerators as per given numbers 131/353, 159/222 is

GCF of Numerators i.e. for 131,159 is 1

LCM of denominators i.e. for 353,222 is 78366.

Thus, GCF of Fractions is 1/78366.Finally, GCF of Fractions for 131/353, 159/222 is 1/78366.