Greatest Common Factor of 5030/845, 7251/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5030/845, 7251/367

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 5030/845,7251/367

Given fractions are 5030/845,7251/367

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 5030,7251

Greatest Common Factor of Numerators i.e. GCF of 5030,7251 is 1 .

LCM of Denominators means LCM of 845,367 as per the given fractions.

LCM of 845,367 is 310115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5030,7251

GCF of Fractions 5030/845,7251/367 is 1/310115

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5030,7251 By Matching Biggest Common Factor Method

Greatest Common Factor of 5030,7251 By Matching Biggest Common Factor Method

Factors of 5030

List of positive integer factors of 5030 that divides 5030 without a remainder.

1,2,5,10,503,1006,2515,5030

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1,3,2417,7251

Greatest Common Factor

We found the factors 5030,7251 . The biggest common factor number is the GCF number.
So the greatest common factor 5030,7251 is 1.

Lets's calculate LCM of 845,367

Given numbers has no common factors except 1. So, there LCM is their product i.e 310115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310115

Therefore, the GCF of Fractions 5030/845,7251/367 is 1/310115

Least Common Multiple of 845,367 with GCF Formula

Least Common Multiple of 845,367 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 845,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,367) = 1

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

GCF(845,367) x common factors =1 x 1 = 1

LCM(845,367) = ( 845 × 367 ) / 1

LCM(845,367) = 310115 / 1

LCM(845,367) = 310115


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 5030/845, 7251/367

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 5030/845, 7251/367?

Answer: GCF of Numerators as per given numbers 5030/845, 7251/367 is

GCF of Numerators i.e. for 5030,7251 is 1

LCM of denominators i.e. for 845,367 is 310115.

Thus, GCF of Fractions is 1/310115.Finally, GCF of Fractions for 5030/845, 7251/367 is 1/310115.