Greatest Common Factor of 5369/356, 2583/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5369/356, 2583/350

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 5369/356,2583/350

Given fractions are 5369/356,2583/350

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 5369,2583

Greatest Common Factor of Numerators i.e. GCF of 5369,2583 is 7 .

LCM of Denominators means LCM of 356,350 as per the given fractions.

LCM of 356,350 is 62300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5369,2583

GCF of Fractions 5369/356,2583/350 is 7/62300

7 5369, 2583
767, 369

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

Greatest Common Factor of 5369,2583 By Matching Biggest Common Factor Method

Greatest Common Factor of 5369,2583 By Matching Biggest Common Factor Method

Factors of 5369

List of positive integer factors of 5369 that divides 5369 without a remainder.

1,7,13,59,91,413,767,5369

Factors of 2583

List of positive integer factors of 2583 that divides 2583 without a remainder.

1,3,7,9,21,41,63,123,287,369,861,2583

Greatest Common Factor

We found the factors 5369,2583 . The biggest common factor number is the GCF number.
So the greatest common factor 5369,2583 is 7.

Lets's calculate LCM of 356,350

2 356, 350
178, 175

∴ So the LCM of the given numbers is 2 x 178 x 175 = 62300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/62300

Therefore, the GCF of Fractions 5369/356,2583/350 is 7/62300

Least Common Multiple of 356,350 with GCF Formula

Least Common Multiple of 356,350 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 356,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,350) = 2

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

GCF(356,350) x common factors =2 x 1 = 2

LCM(356,350) = ( 356 × 350 ) / 2

LCM(356,350) = 124600 / 2

LCM(356,350) = 62300


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 5369/356, 2583/350

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 5369/356, 2583/350?

Answer: GCF of Numerators as per given numbers 5369/356, 2583/350 is

GCF of Numerators i.e. for 5369,2583 is 7

LCM of denominators i.e. for 356,350 is 62300.

Thus, GCF of Fractions is 7/62300.Finally, GCF of Fractions for 5369/356, 2583/350 is 7/62300.