Greatest Common Factor of 4150/49, 3072/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4150/49, 3072/438

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 4150/49,3072/438

Given fractions are 4150/49,3072/438

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 4150,3072

Greatest Common Factor of Numerators i.e. GCF of 4150,3072 is 2 .

LCM of Denominators means LCM of 49,438 as per the given fractions.

LCM of 49,438 is 21462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4150,3072

GCF of Fractions 4150/49,3072/438 is 2/21462

2 4150, 3072
2075, 1536

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

Greatest Common Factor of 4150,3072 By Matching Biggest Common Factor Method

Greatest Common Factor of 4150,3072 By Matching Biggest Common Factor Method

Factors of 4150

List of positive integer factors of 4150 that divides 4150 without a remainder.

1,2,5,10,25,50,83,166,415,830,2075,4150

Factors of 3072

List of positive integer factors of 3072 that divides 3072 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072

Greatest Common Factor

We found the factors 4150,3072 . The biggest common factor number is the GCF number.
So the greatest common factor 4150,3072 is 2.

Lets's calculate LCM of 49,438

Given numbers has no common factors except 1. So, there LCM is their product i.e 21462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21462

Therefore, the GCF of Fractions 4150/49,3072/438 is 2/21462

Least Common Multiple of 49,438 with GCF Formula

Least Common Multiple of 49,438 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 49,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,438) = 1

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

GCF(49,438) x common factors =1 x 1 = 1

LCM(49,438) = ( 49 × 438 ) / 1

LCM(49,438) = 21462 / 1

LCM(49,438) = 21462


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 4150/49, 3072/438

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 4150/49, 3072/438?

Answer: GCF of Numerators as per given numbers 4150/49, 3072/438 is

GCF of Numerators i.e. for 4150,3072 is 2

LCM of denominators i.e. for 49,438 is 21462.

Thus, GCF of Fractions is 2/21462.Finally, GCF of Fractions for 4150/49, 3072/438 is 2/21462.