Greatest Common Factor of 546/689, 2912/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/689, 2912/454

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 546/689,2912/454

Given fractions are 546/689,2912/454

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 546,2912

Greatest Common Factor of Numerators i.e. GCF of 546,2912 is 182 .

LCM of Denominators means LCM of 689,454 as per the given fractions.

LCM of 689,454 is 312806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,2912

GCF of Fractions 546/689,2912/454 is 182/312806

2 546, 2912
7 273, 1456
13 39, 208
3, 16

∴ So the GCF of the given numbers is 2 x 7 x 13 = 182

Greatest Common Factor of 546,2912 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,2912 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

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

Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912

Greatest Common Factor

We found the factors 546,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 546,2912 is 182.

Lets's calculate LCM of 689,454

Given numbers has no common factors except 1. So, there LCM is their product i.e 312806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 182/312806

Therefore, the GCF of Fractions 546/689,2912/454 is 182/312806

Least Common Multiple of 689,454 with GCF Formula

Least Common Multiple of 689,454 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 689,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,454) = 1

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

GCF(689,454) x common factors =1 x 1 = 1

LCM(689,454) = ( 689 × 454 ) / 1

LCM(689,454) = 312806 / 1

LCM(689,454) = 312806


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 546/689, 2912/454

1. 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.

2. What is the GCF of Fractions for 546/689, 2912/454?

Answer: GCF of Numerators as per given numbers 546/689, 2912/454 is

GCF of Numerators i.e. for 546,2912 is 182

LCM of denominators i.e. for 689,454 is 312806.

Thus, GCF of Fractions is 182/312806.Finally, GCF of Fractions for 546/689, 2912/454 is 182/312806.