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GCF of 631/94, 182/354

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 631/94, 182/354 i.e 1/16638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/94, 182/354.

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 631/94,182/354?

Given fractions are 631/94,182/354

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 631/94,182/354, numerators are 631,182

Denominators are 94,354

The GCF of 631,182 is 1 .

LCM of 94,354 is 16638.

The greatest common factor of 631/94,182/354 = [GCF of 631,182]/[LCM of 94,354]= 1/16638

Therefore, the GCF of 631/94,182/354 is 1/16638.

Greatest Common Factor of 631,182

To find the highest common factor of 631,182, we have to find the factors of both numbers and list the highest common factor.

The factors of 631 are 1, 631

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

The HCF of 631,182 is 1.

Lets's calculate GCF of 631,182

Greatest Common Factor (GCF) of 631,182 By Common Division

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

Greatest Common Factor of 631,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,182 By Matching Biggest Common Factor Method

Now, list down the factors of 631

:

1,631

Now, list down the factors of 182

:

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 631,182 . The biggest common factor number is the GCF number.
So the greatest common factor 631,182 is 1.

Lets's calculate LCM of 94,354

Lowest Common Multiple of 94,354 using Common Division

2 94, 354
47, 177

∴ So the LCM of the given numbers is 2 x 47 x 177 = 16638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16638

Therefore, the GCF of Fractions 631/94,182/354 is 1/16638

Least Common Multiple of 94,354 with GCF Formula

Least Common Multiple of 94,354 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 94,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,354) = 2

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

GCF(94,354) x common factors =2 x 1 = 2

LCM(94,354) = ( 94 × 354 ) / 2

LCM(94,354) = 33276 / 2

LCM(94,354) = 16638


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FAQs on GCF of Fractions of 631/94, 182/354

1. What is the HCF of 631,182?

The HCF of 631,182 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 631/94, 182/354?

Answer: GCF of Numerators as per given numbers 631/94, 182/354 is

GCF of Numerators i.e. for 631,182 is 1

LCM of denominators i.e. for 94,354 is 16638.

Thus, GCF of Fractions is 1/16638.Finally, GCF of Fractions for 631/94, 182/354 is 1/16638.