Greatest Common Factor of 4048/86, 3952/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4048/86, 3952/149

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 4048/86,3952/149

Given fractions are 4048/86,3952/149

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 4048,3952

Greatest Common Factor of Numerators i.e. GCF of 4048,3952 is 16 .

LCM of Denominators means LCM of 86,149 as per the given fractions.

LCM of 86,149 is 12814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4048,3952

GCF of Fractions 4048/86,3952/149 is 16/12814

2 4048, 3952
2 2024, 1976
2 1012, 988
2 506, 494
253, 247

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 4048,3952 By Matching Biggest Common Factor Method

Greatest Common Factor of 4048,3952 By Matching Biggest Common Factor Method

Factors of 4048

List of positive integer factors of 4048 that divides 4048 without a remainder.

1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Greatest Common Factor

We found the factors 4048,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 4048,3952 is 16.

Lets's calculate LCM of 86,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 12814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/12814

Therefore, the GCF of Fractions 4048/86,3952/149 is 16/12814

Least Common Multiple of 86,149 with GCF Formula

Least Common Multiple of 86,149 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 86,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,149) = 1

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

GCF(86,149) x common factors =1 x 1 = 1

LCM(86,149) = ( 86 × 149 ) / 1

LCM(86,149) = 12814 / 1

LCM(86,149) = 12814


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 4048/86, 3952/149

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 4048/86, 3952/149?

Answer: GCF of Numerators as per given numbers 4048/86, 3952/149 is

GCF of Numerators i.e. for 4048,3952 is 16

LCM of denominators i.e. for 86,149 is 12814.

Thus, GCF of Fractions is 16/12814.Finally, GCF of Fractions for 4048/86, 3952/149 is 16/12814.