Greatest Common Factor of 1634/348, 6143/5654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1634/348, 6143/5654

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 1634/348,6143/5654

Given fractions are 1634/348,6143/5654

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 1634,6143

Greatest Common Factor of Numerators i.e. GCF of 1634,6143 is 1 .

LCM of Denominators means LCM of 348,5654 as per the given fractions.

LCM of 348,5654 is 983796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1634,6143

GCF of Fractions 1634/348,6143/5654 is 1/983796

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

Greatest Common Factor of 1634,6143 By Matching Biggest Common Factor Method

Greatest Common Factor of 1634,6143 By Matching Biggest Common Factor Method

Factors of 1634

List of positive integer factors of 1634 that divides 1634 without a remainder.

1,2,19,38,43,86,817,1634

Factors of 6143

List of positive integer factors of 6143 that divides 6143 without a remainder.

1,6143

Greatest Common Factor

We found the factors 1634,6143 . The biggest common factor number is the GCF number.
So the greatest common factor 1634,6143 is 1.

Lets's calculate LCM of 348,5654

2 348, 5654
174, 2827

∴ So the LCM of the given numbers is 2 x 174 x 2827 = 983796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/983796

Therefore, the GCF of Fractions 1634/348,6143/5654 is 1/983796

Least Common Multiple of 348,5654 with GCF Formula

Least Common Multiple of 348,5654 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 348,5654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,5654) = 2

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

GCF(348,5654) x common factors =2 x 1 = 2

LCM(348,5654) = ( 348 × 5654 ) / 2

LCM(348,5654) = 1967592 / 2

LCM(348,5654) = 983796


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 1634/348, 6143/5654

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 1634/348, 6143/5654?

Answer: GCF of Numerators as per given numbers 1634/348, 6143/5654 is

GCF of Numerators i.e. for 1634,6143 is 1

LCM of denominators i.e. for 348,5654 is 983796.

Thus, GCF of Fractions is 1/983796.Finally, GCF of Fractions for 1634/348, 6143/5654 is 1/983796.