Greatest Common Factor of 49/534, 861/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/534, 861/493

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 49/534,861/493

Given fractions are 49/534,861/493

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 49,861

Greatest Common Factor of Numerators i.e. GCF of 49,861 is 7 .

LCM of Denominators means LCM of 534,493 as per the given fractions.

LCM of 534,493 is 263262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,861

GCF of Fractions 49/534,861/493 is 7/263262

7 49, 861
7, 123

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 49,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,861 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 49,861 . The biggest common factor number is the GCF number.
So the greatest common factor 49,861 is 7.

Lets's calculate LCM of 534,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 263262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/263262

Therefore, the GCF of Fractions 49/534,861/493 is 7/263262

Least Common Multiple of 534,493 with GCF Formula

Least Common Multiple of 534,493 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 534,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,493) = 1

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

GCF(534,493) x common factors =1 x 1 = 1

LCM(534,493) = ( 534 × 493 ) / 1

LCM(534,493) = 263262 / 1

LCM(534,493) = 263262


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 49/534, 861/493

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 49/534, 861/493?

Answer: GCF of Numerators as per given numbers 49/534, 861/493 is

GCF of Numerators i.e. for 49,861 is 7

LCM of denominators i.e. for 534,493 is 263262.

Thus, GCF of Fractions is 7/263262.Finally, GCF of Fractions for 49/534, 861/493 is 7/263262.