Greatest Common Factor of 943/365, 7585/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 943/365, 7585/560

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 943/365,7585/560

Given fractions are 943/365,7585/560

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 943,7585

Greatest Common Factor of Numerators i.e. GCF of 943,7585 is 41 .

LCM of Denominators means LCM of 365,560 as per the given fractions.

LCM of 365,560 is 40880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 943,7585

GCF of Fractions 943/365,7585/560 is 41/40880

41 943, 7585
23, 185

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 943,7585 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,7585 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 7585

List of positive integer factors of 7585 that divides 7585 without a remainder.

1,5,37,41,185,205,1517,7585

Greatest Common Factor

We found the factors 943,7585 . The biggest common factor number is the GCF number.
So the greatest common factor 943,7585 is 41.

Lets's calculate LCM of 365,560

5 365, 560
73, 112

∴ So the LCM of the given numbers is 5 x 73 x 112 = 40880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/40880

Therefore, the GCF of Fractions 943/365,7585/560 is 41/40880

Least Common Multiple of 365,560 with GCF Formula

Least Common Multiple of 365,560 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 365,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,560) = 5

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

GCF(365,560) x common factors =5 x 1 = 5

LCM(365,560) = ( 365 × 560 ) / 5

LCM(365,560) = 204400 / 5

LCM(365,560) = 40880


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 943/365, 7585/560

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 943/365, 7585/560?

Answer: GCF of Numerators as per given numbers 943/365, 7585/560 is

GCF of Numerators i.e. for 943,7585 is 41

LCM of denominators i.e. for 365,560 is 40880.

Thus, GCF of Fractions is 41/40880.Finally, GCF of Fractions for 943/365, 7585/560 is 41/40880.