Greatest Common Factor of 3328/53, 5048/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3328/53, 5048/746

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 3328/53,5048/746

Given fractions are 3328/53,5048/746

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 3328,5048

Greatest Common Factor of Numerators i.e. GCF of 3328,5048 is 8 .

LCM of Denominators means LCM of 53,746 as per the given fractions.

LCM of 53,746 is 39538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3328,5048

GCF of Fractions 3328/53,5048/746 is 8/39538

2 3328, 5048
2 1664, 2524
2 832, 1262
416, 631

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

Greatest Common Factor of 3328,5048 By Matching Biggest Common Factor Method

Greatest Common Factor of 3328,5048 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 5048

List of positive integer factors of 5048 that divides 5048 without a remainder.

1,2,4,8,631,1262,2524,5048

Greatest Common Factor

We found the factors 3328,5048 . The biggest common factor number is the GCF number.
So the greatest common factor 3328,5048 is 8.

Lets's calculate LCM of 53,746

Given numbers has no common factors except 1. So, there LCM is their product i.e 39538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/39538

Therefore, the GCF of Fractions 3328/53,5048/746 is 8/39538

Least Common Multiple of 53,746 with GCF Formula

Least Common Multiple of 53,746 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 53,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,746) = 1

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

GCF(53,746) x common factors =1 x 1 = 1

LCM(53,746) = ( 53 × 746 ) / 1

LCM(53,746) = 39538 / 1

LCM(53,746) = 39538


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 3328/53, 5048/746

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 3328/53, 5048/746?

Answer: GCF of Numerators as per given numbers 3328/53, 5048/746 is

GCF of Numerators i.e. for 3328,5048 is 8

LCM of denominators i.e. for 53,746 is 39538.

Thus, GCF of Fractions is 8/39538.Finally, GCF of Fractions for 3328/53, 5048/746 is 8/39538.