Greatest Common Factor of 748/14, 712/95, 733/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/14, 712/95, 733/373

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 748/14,712/95,733/373

Given fractions are 748/14,712/95,733/373

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 748,712,733

Greatest Common Factor of Numerators i.e. GCF of 748,712,733 is 1 .

LCM of Denominators means LCM of 14,95,373 as per the given fractions.

LCM of 14,95,373 is 496090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,712,733

GCF of Fractions 748/14,712/95,733/373 is 1/496090

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

Greatest Common Factor of 748,712,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,712,733 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 748,712,733 . The biggest common factor number is the GCF number.
So the greatest common factor 748,712,733 is 1.

Lets's calculate LCM of 14,95,373

Given numbers has no common factors except 1. So, there LCM is their product i.e 496090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496090

Therefore, the GCF of Fractions 748/14,712/95,733/373 is 1/496090

Least Common Multiple of 14,95,373 with GCF Formula

Least Common Multiple of 14,95,373 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 14,95,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,95,373) = 1

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

GCF(14,95,373) x common factors =1 x 1 = 1

LCM(14,95,373) = ( 14 × 95 × 373 ) / 1

LCM(14,95,373) = 496090 / 1

LCM(14,95,373) = 496090


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 748/14, 712/95, 733/373

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 748/14, 712/95, 733/373?

Answer: GCF of Numerators as per given numbers 748/14, 712/95, 733/373 is

GCF of Numerators i.e. for 748,712,733 is 1

LCM of denominators i.e. for 14,95,373 is 496090.

Thus, GCF of Fractions is 1/496090.Finally, GCF of Fractions for 748/14, 712/95, 733/373 is 1/496090.