Greatest Common Factor of 744/850, 5348/1267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/850, 5348/1267

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 744/850,5348/1267

Given fractions are 744/850,5348/1267

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 744,5348

Greatest Common Factor of Numerators i.e. GCF of 744,5348 is 4 .

LCM of Denominators means LCM of 850,1267 as per the given fractions.

LCM of 850,1267 is 1076950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,5348

GCF of Fractions 744/850,5348/1267 is 4/1076950

2 744, 5348
2 372, 2674
186, 1337

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 744,5348 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,5348 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 5348

List of positive integer factors of 5348 that divides 5348 without a remainder.

1,2,4,7,14,28,191,382,764,1337,2674,5348

Greatest Common Factor

We found the factors 744,5348 . The biggest common factor number is the GCF number.
So the greatest common factor 744,5348 is 4.

Lets's calculate LCM of 850,1267

Given numbers has no common factors except 1. So, there LCM is their product i.e 1076950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1076950

Therefore, the GCF of Fractions 744/850,5348/1267 is 4/1076950

Least Common Multiple of 850,1267 with GCF Formula

Least Common Multiple of 850,1267 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 850,1267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,1267) = 1

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

GCF(850,1267) x common factors =1 x 1 = 1

LCM(850,1267) = ( 850 × 1267 ) / 1

LCM(850,1267) = 1076950 / 1

LCM(850,1267) = 1076950


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 744/850, 5348/1267

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 744/850, 5348/1267?

Answer: GCF of Numerators as per given numbers 744/850, 5348/1267 is

GCF of Numerators i.e. for 744,5348 is 4

LCM of denominators i.e. for 850,1267 is 1076950.

Thus, GCF of Fractions is 4/1076950.Finally, GCF of Fractions for 744/850, 5348/1267 is 4/1076950.