Greatest Common Factor of 832/744, 3064/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 832/744, 3064/736

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 832/744,3064/736

Given fractions are 832/744,3064/736

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 832,3064

Greatest Common Factor of Numerators i.e. GCF of 832,3064 is 8 .

LCM of Denominators means LCM of 744,736 as per the given fractions.

LCM of 744,736 is 68448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 832,3064

GCF of Fractions 832/744,3064/736 is 8/68448

2 832, 3064
2 416, 1532
2 208, 766
104, 383

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 832,3064 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,3064 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 3064

List of positive integer factors of 3064 that divides 3064 without a remainder.

1,2,4,8,383,766,1532,3064

Greatest Common Factor

We found the factors 832,3064 . The biggest common factor number is the GCF number.
So the greatest common factor 832,3064 is 8.

Lets's calculate LCM of 744,736

2 744, 736
2 372, 368
2 186, 184
93, 92

∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 92 = 68448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/68448

Therefore, the GCF of Fractions 832/744,3064/736 is 8/68448

Least Common Multiple of 744,736 with GCF Formula

Least Common Multiple of 744,736 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 744,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,736) = 8

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

GCF(744,736) x common factors =8 x 1 = 8

LCM(744,736) = ( 744 × 736 ) / 8

LCM(744,736) = 547584 / 8

LCM(744,736) = 68448


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 832/744, 3064/736

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 832/744, 3064/736?

Answer: GCF of Numerators as per given numbers 832/744, 3064/736 is

GCF of Numerators i.e. for 832,3064 is 8

LCM of denominators i.e. for 744,736 is 68448.

Thus, GCF of Fractions is 8/68448.Finally, GCF of Fractions for 832/744, 3064/736 is 8/68448.