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GCF of 546/22, 631/554

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 546/22, 631/554 i.e 1/6094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 546/22, 631/554.

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 546/22,631/554?

Given fractions are 546/22,631/554

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 546/22,631/554, numerators are 546,631

Denominators are 22,554

The GCF of 546,631 is 1 .

LCM of 22,554 is 6094.

The greatest common factor of 546/22,631/554 = [GCF of 546,631]/[LCM of 22,554]= 1/6094

Therefore, the GCF of 546/22,631/554 is 1/6094.

Greatest Common Factor of 546,631

To find the highest common factor of 546,631, we have to find the factors of both numbers and list the highest common factor.

The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

The factors of 631 are 1, 631

The HCF of 546,631 is 1.

Lets's calculate GCF of 546,631

Greatest Common Factor (GCF) of 546,631 By Common Division

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

Greatest Common Factor of 546,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,631 By Matching Biggest Common Factor Method

Now, list down the factors of 546

:

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Now, list down the factors of 631

:

1,631

Greatest Common Factor

We found the factors 546,631 . The biggest common factor number is the GCF number.
So the greatest common factor 546,631 is 1.

Lets's calculate LCM of 22,554

Lowest Common Multiple of 22,554 using Common Division

2 22, 554
11, 277

∴ So the LCM of the given numbers is 2 x 11 x 277 = 6094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6094

Therefore, the GCF of Fractions 546/22,631/554 is 1/6094

Least Common Multiple of 22,554 with GCF Formula

Least Common Multiple of 22,554 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 22,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,554) = 2

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

GCF(22,554) x common factors =2 x 1 = 2

LCM(22,554) = ( 22 × 554 ) / 2

LCM(22,554) = 12188 / 2

LCM(22,554) = 6094


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FAQs on GCF of Fractions of 546/22, 631/554

1. What is the HCF of 546,631?

The HCF of 546,631 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 546/22, 631/554?

Answer: GCF of Numerators as per given numbers 546/22, 631/554 is

GCF of Numerators i.e. for 546,631 is 1

LCM of denominators i.e. for 22,554 is 6094.

Thus, GCF of Fractions is 1/6094.Finally, GCF of Fractions for 546/22, 631/554 is 1/6094.