Greatest Common Factor of 6474/697, 1141/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6474/697, 1141/839

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 6474/697,1141/839

Given fractions are 6474/697,1141/839

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 6474,1141

Greatest Common Factor of Numerators i.e. GCF of 6474,1141 is 1 .

LCM of Denominators means LCM of 697,839 as per the given fractions.

LCM of 697,839 is 584783 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6474,1141

GCF of Fractions 6474/697,1141/839 is 1/584783

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

Greatest Common Factor of 6474,1141 By Matching Biggest Common Factor Method

Greatest Common Factor of 6474,1141 By Matching Biggest Common Factor Method

Factors of 6474

List of positive integer factors of 6474 that divides 6474 without a remainder.

1,2,3,6,13,26,39,78,83,166,249,498,1079,2158,3237,6474

Factors of 1141

List of positive integer factors of 1141 that divides 1141 without a remainder.

1,7,163,1141

Greatest Common Factor

We found the factors 6474,1141 . The biggest common factor number is the GCF number.
So the greatest common factor 6474,1141 is 1.

Lets's calculate LCM of 697,839

Given numbers has no common factors except 1. So, there LCM is their product i.e 584783

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/584783

Therefore, the GCF of Fractions 6474/697,1141/839 is 1/584783

Least Common Multiple of 697,839 with GCF Formula

Least Common Multiple of 697,839 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 697,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,839) = 1

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

GCF(697,839) x common factors =1 x 1 = 1

LCM(697,839) = ( 697 × 839 ) / 1

LCM(697,839) = 584783 / 1

LCM(697,839) = 584783


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 6474/697, 1141/839

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 6474/697, 1141/839?

Answer: GCF of Numerators as per given numbers 6474/697, 1141/839 is

GCF of Numerators i.e. for 6474,1141 is 1

LCM of denominators i.e. for 697,839 is 584783.

Thus, GCF of Fractions is 1/584783.Finally, GCF of Fractions for 6474/697, 1141/839 is 1/584783.