Greatest Common Factor of 3328/63, 3712/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3328/63, 3712/812

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 3328/63,3712/812

Given fractions are 3328/63,3712/812

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 3328,3712

Greatest Common Factor of Numerators i.e. GCF of 3328,3712 is 128 .

LCM of Denominators means LCM of 63,812 as per the given fractions.

LCM of 63,812 is 7308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3328,3712

GCF of Fractions 3328/63,3712/812 is 128/7308

2 3328, 3712
2 1664, 1856
2 832, 928
2 416, 464
2 208, 232
2 104, 116
2 52, 58
26, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

Greatest Common Factor of 3328,3712 By Matching Biggest Common Factor Method

Greatest Common Factor of 3328,3712 By Matching Biggest Common Factor Method

Factors of 3328

List of positive integer factors of 3328 that divides 3328 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328

Factors of 3712

List of positive integer factors of 3712 that divides 3712 without a remainder.

1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712

Greatest Common Factor

We found the factors 3328,3712 . The biggest common factor number is the GCF number.
So the greatest common factor 3328,3712 is 128.

Lets's calculate LCM of 63,812

7 63, 812
9, 116

∴ So the LCM of the given numbers is 7 x 9 x 116 = 7308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 128/7308

Therefore, the GCF of Fractions 3328/63,3712/812 is 128/7308

Least Common Multiple of 63,812 with GCF Formula

Least Common Multiple of 63,812 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 63,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,812) = 7

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

GCF(63,812) x common factors =7 x 1 = 7

LCM(63,812) = ( 63 × 812 ) / 7

LCM(63,812) = 51156 / 7

LCM(63,812) = 7308


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 3328/63, 3712/812

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 3328/63, 3712/812?

Answer: GCF of Numerators as per given numbers 3328/63, 3712/812 is

GCF of Numerators i.e. for 3328,3712 is 128

LCM of denominators i.e. for 63,812 is 7308.

Thus, GCF of Fractions is 128/7308.Finally, GCF of Fractions for 3328/63, 3712/812 is 128/7308.