Greatest Common Factor of 4538/343, 7728/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4538/343, 7728/250

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 4538/343,7728/250

Given fractions are 4538/343,7728/250

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 4538,7728

Greatest Common Factor of Numerators i.e. GCF of 4538,7728 is 2 .

LCM of Denominators means LCM of 343,250 as per the given fractions.

LCM of 343,250 is 85750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4538,7728

GCF of Fractions 4538/343,7728/250 is 2/85750

2 4538, 7728
2269, 3864

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

Greatest Common Factor of 4538,7728 By Matching Biggest Common Factor Method

Greatest Common Factor of 4538,7728 By Matching Biggest Common Factor Method

Factors of 4538

List of positive integer factors of 4538 that divides 4538 without a remainder.

1,2,2269,4538

Factors of 7728

List of positive integer factors of 7728 that divides 7728 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728

Greatest Common Factor

We found the factors 4538,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 4538,7728 is 2.

Lets's calculate LCM of 343,250

Given numbers has no common factors except 1. So, there LCM is their product i.e 85750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85750

Therefore, the GCF of Fractions 4538/343,7728/250 is 2/85750

Least Common Multiple of 343,250 with GCF Formula

Least Common Multiple of 343,250 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 343,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,250) = 1

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

GCF(343,250) x common factors =1 x 1 = 1

LCM(343,250) = ( 343 × 250 ) / 1

LCM(343,250) = 85750 / 1

LCM(343,250) = 85750


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 4538/343, 7728/250

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 4538/343, 7728/250?

Answer: GCF of Numerators as per given numbers 4538/343, 7728/250 is

GCF of Numerators i.e. for 4538,7728 is 2

LCM of denominators i.e. for 343,250 is 85750.

Thus, GCF of Fractions is 2/85750.Finally, GCF of Fractions for 4538/343, 7728/250 is 2/85750.