Greatest Common Factor of 546/377, 504/554, 340/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/377, 504/554, 340/294

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 546/377,504/554,340/294

Given fractions are 546/377,504/554,340/294

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 546,504,340

Greatest Common Factor of Numerators i.e. GCF of 546,504,340 is 2 .

LCM of Denominators means LCM of 377,554,294 as per the given fractions.

LCM of 377,554,294 is 30702126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,504,340

GCF of Fractions 546/377,504/554,340/294 is 2/30702126

2 546, 504, 340
273, 252, 170

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 546,504,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,504,340 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 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 546,504,340 . The biggest common factor number is the GCF number.
So the greatest common factor 546,504,340 is 2.

Lets's calculate LCM of 377,554,294

2 377, 554, 294
377, 277, 147

∴ So the LCM of the given numbers is 2 x 377 x 277 x 147 = 30702126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30702126

Therefore, the GCF of Fractions 546/377,504/554,340/294 is 2/30702126

Least Common Multiple of 377,554,294 with GCF Formula

Least Common Multiple of 377,554,294 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 377,554,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,554,294) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(377,554,294) x common factors =1 x 2 = 2

LCM(377,554,294) = ( 377 × 554 × 294 ) / 2

LCM(377,554,294) = 61404252 / 2

LCM(377,554,294) = 30702126


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 546/377, 504/554, 340/294

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 546/377, 504/554, 340/294?

Answer: GCF of Numerators as per given numbers 546/377, 504/554, 340/294 is

GCF of Numerators i.e. for 546,504,340 is 2

LCM of denominators i.e. for 377,554,294 is 30702126.

Thus, GCF of Fractions is 2/30702126.Finally, GCF of Fractions for 546/377, 504/554, 340/294 is 2/30702126.