Greatest Common Factor of 748/34, 128/70, 772/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/34, 128/70, 772/392

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 748/34,128/70,772/392

Given fractions are 748/34,128/70,772/392

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 748,128,772

Greatest Common Factor of Numerators i.e. GCF of 748,128,772 is 4 .

LCM of Denominators means LCM of 34,70,392 as per the given fractions.

LCM of 34,70,392 is 33320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,128,772

GCF of Fractions 748/34,128/70,772/392 is 4/33320

2 748, 128, 772
2 374, 64, 386
187, 32, 193

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

Greatest Common Factor of 748,128,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,128,772 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 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 748,128,772 . The biggest common factor number is the GCF number.
So the greatest common factor 748,128,772 is 4.

Lets's calculate LCM of 34,70,392

2 34, 70, 392
7 17, 35, 196
17, 5, 28

∴ So the LCM of the given numbers is 2 x 7 x 17 x 5 x 28 = 33320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33320

Therefore, the GCF of Fractions 748/34,128/70,772/392 is 4/33320

Least Common Multiple of 34,70,392 with GCF Formula

Least Common Multiple of 34,70,392 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 34,70,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,70,392) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(34,70,392) x common factors =2 x 14 = 28

LCM(34,70,392) = ( 34 × 70 × 392 ) / 28

LCM(34,70,392) = 932960 / 28

LCM(34,70,392) = 33320


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 748/34, 128/70, 772/392

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 748/34, 128/70, 772/392?

Answer: GCF of Numerators as per given numbers 748/34, 128/70, 772/392 is

GCF of Numerators i.e. for 748,128,772 is 4

LCM of denominators i.e. for 34,70,392 is 33320.

Thus, GCF of Fractions is 4/33320.Finally, GCF of Fractions for 748/34, 128/70, 772/392 is 4/33320.