Greatest Common Factor of 744/83, 912/4451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 744/83, 912/4451

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 744/83,912/4451

Given fractions are 744/83,912/4451

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 744,912

Greatest Common Factor of Numerators i.e. GCF of 744,912 is 24 .

LCM of Denominators means LCM of 83,4451 as per the given fractions.

LCM of 83,4451 is 369433 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,912

GCF of Fractions 744/83,912/4451 is 24/369433

2 744, 912
2 372, 456
2 186, 228
3 93, 114
31, 38

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 744,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,912 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 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 744,912 . The biggest common factor number is the GCF number.
So the greatest common factor 744,912 is 24.


Lets's calculate LCM of 83,4451

Given numbers has no common factors except 1. So, there LCM is their product i.e 369433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/369433

Therefore, the GCF of Fractions 744/83,912/4451 is 24/369433

Least Common Multiple of 83,4451 with GCF Formula

Least Common Multiple of 83,4451 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 83,4451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,4451) = 1

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

GCF(83,4451) x common factors =1 x 1 = 1

LCM(83,4451) = ( 83 × 4451 ) / 1

LCM(83,4451) = 369433 / 1

LCM(83,4451) = 369433


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 744/83, 912/4451

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 744/83, 912/4451?

Answer: GCF of Numerators as per given numbers 744/83, 912/4451 is

GCF of Numerators i.e. for 744,912 is 24

LCM of denominators i.e. for 83,4451 is 369433.

Thus, GCF of Fractions is 24/369433.Finally, GCF of Fractions for 744/83, 912/4451 is 24/369433.