Greatest Common Factor of 247/44, 700/5792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/44, 700/5792

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 247/44,700/5792

Given fractions are 247/44,700/5792

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 247,700

Greatest Common Factor of Numerators i.e. GCF of 247,700 is 1 .

LCM of Denominators means LCM of 44,5792 as per the given fractions.

LCM of 44,5792 is 63712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,700

GCF of Fractions 247/44,700/5792 is 1/63712

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

Greatest Common Factor of 247,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,700 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 247,700 . The biggest common factor number is the GCF number.
So the greatest common factor 247,700 is 1.

Lets's calculate LCM of 44,5792

2 44, 5792
2 22, 2896
11, 1448

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1448 = 63712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63712

Therefore, the GCF of Fractions 247/44,700/5792 is 1/63712

Least Common Multiple of 44,5792 with GCF Formula

Least Common Multiple of 44,5792 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 44,5792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,5792) = 4

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

GCF(44,5792) x common factors =4 x 1 = 4

LCM(44,5792) = ( 44 × 5792 ) / 4

LCM(44,5792) = 254848 / 4

LCM(44,5792) = 63712


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 247/44, 700/5792

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 247/44, 700/5792?

Answer: GCF of Numerators as per given numbers 247/44, 700/5792 is

GCF of Numerators i.e. for 247,700 is 1

LCM of denominators i.e. for 44,5792 is 63712.

Thus, GCF of Fractions is 1/63712.Finally, GCF of Fractions for 247/44, 700/5792 is 1/63712.