Greatest Common Factor of 543/757, 6930/4319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/757, 6930/4319

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 543/757,6930/4319

Given fractions are 543/757,6930/4319

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 543,6930

Greatest Common Factor of Numerators i.e. GCF of 543,6930 is 3 .

LCM of Denominators means LCM of 757,4319 as per the given fractions.

LCM of 757,4319 is 3269483 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,6930

GCF of Fractions 543/757,6930/4319 is 3/3269483

3 543, 6930
181, 2310

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 543,6930 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,6930 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930

Greatest Common Factor

We found the factors 543,6930 . The biggest common factor number is the GCF number.
So the greatest common factor 543,6930 is 3.

Lets's calculate LCM of 757,4319

Given numbers has no common factors except 1. So, there LCM is their product i.e 3269483

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3269483

Therefore, the GCF of Fractions 543/757,6930/4319 is 3/3269483

Least Common Multiple of 757,4319 with GCF Formula

Least Common Multiple of 757,4319 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 757,4319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,4319) = 1

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

GCF(757,4319) x common factors =1 x 1 = 1

LCM(757,4319) = ( 757 × 4319 ) / 1

LCM(757,4319) = 3269483 / 1

LCM(757,4319) = 3269483


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 543/757, 6930/4319

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 543/757, 6930/4319?

Answer: GCF of Numerators as per given numbers 543/757, 6930/4319 is

GCF of Numerators i.e. for 543,6930 is 3

LCM of denominators i.e. for 757,4319 is 3269483.

Thus, GCF of Fractions is 3/3269483.Finally, GCF of Fractions for 543/757, 6930/4319 is 3/3269483.