Greatest Common Factor of 370/575, 1076/2024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 370/575, 1076/2024

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 370/575,1076/2024

Given fractions are 370/575,1076/2024

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 370,1076

Greatest Common Factor of Numerators i.e. GCF of 370,1076 is 2 .

LCM of Denominators means LCM of 575,2024 as per the given fractions.

LCM of 575,2024 is 50600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 370,1076

GCF of Fractions 370/575,1076/2024 is 2/50600

2 370, 1076
185, 538

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 370,1076 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,1076 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1,2,4,269,538,1076

Greatest Common Factor

We found the factors 370,1076 . The biggest common factor number is the GCF number.
So the greatest common factor 370,1076 is 2.

Lets's calculate LCM of 575,2024

23 575, 2024
25, 88

∴ So the LCM of the given numbers is 23 x 25 x 88 = 50600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50600

Therefore, the GCF of Fractions 370/575,1076/2024 is 2/50600

Least Common Multiple of 575,2024 with GCF Formula

Least Common Multiple of 575,2024 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 575,2024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,2024) = 23

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

GCF(575,2024) x common factors =23 x 1 = 23

LCM(575,2024) = ( 575 × 2024 ) / 23

LCM(575,2024) = 1163800 / 23

LCM(575,2024) = 50600


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 370/575, 1076/2024

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 370/575, 1076/2024?

Answer: GCF of Numerators as per given numbers 370/575, 1076/2024 is

GCF of Numerators i.e. for 370,1076 is 2

LCM of denominators i.e. for 575,2024 is 50600.

Thus, GCF of Fractions is 2/50600.Finally, GCF of Fractions for 370/575, 1076/2024 is 2/50600.