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GCF of 311/94, 143/252

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 311/94, 143/252 i.e 1/11844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/94, 143/252.

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 311/94,143/252?

Given fractions are 311/94,143/252

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 311/94,143/252, numerators are 311,143

Denominators are 94,252

The GCF of 311,143 is 1 .

LCM of 94,252 is 11844.

The greatest common factor of 311/94,143/252 = [GCF of 311,143]/[LCM of 94,252]= 1/11844

Therefore, the GCF of 311/94,143/252 is 1/11844.

Greatest Common Factor of 311,143

To find the highest common factor of 311,143, we have to find the factors of both numbers and list the highest common factor.

The factors of 311 are 1, 311

The factors of 143 are 1, 11, 13, 143

The HCF of 311,143 is 1.

Lets's calculate GCF of 311,143

Greatest Common Factor (GCF) of 311,143 By Common Division

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

Greatest Common Factor of 311,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,143 By Matching Biggest Common Factor Method

Now, list down the factors of 311

:

1,311

Now, list down the factors of 143

:

1,11,13,143

Greatest Common Factor

We found the factors 311,143 . The biggest common factor number is the GCF number.
So the greatest common factor 311,143 is 1.

Lets's calculate LCM of 94,252

Lowest Common Multiple of 94,252 using Common Division

2 94, 252
47, 126

∴ So the LCM of the given numbers is 2 x 47 x 126 = 11844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11844

Therefore, the GCF of Fractions 311/94,143/252 is 1/11844

Least Common Multiple of 94,252 with GCF Formula

Least Common Multiple of 94,252 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 94,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,252) = 2

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

GCF(94,252) x common factors =2 x 1 = 2

LCM(94,252) = ( 94 × 252 ) / 2

LCM(94,252) = 23688 / 2

LCM(94,252) = 11844


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FAQs on GCF of Fractions of 311/94, 143/252

1. What is the HCF of 311,143?

The HCF of 311,143 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 311/94, 143/252?

Answer: GCF of Numerators as per given numbers 311/94, 143/252 is

GCF of Numerators i.e. for 311,143 is 1

LCM of denominators i.e. for 94,252 is 11844.

Thus, GCF of Fractions is 1/11844.Finally, GCF of Fractions for 311/94, 143/252 is 1/11844.