Greatest Common Factor of 5030/662, 7386/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5030/662, 7386/203

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 5030/662,7386/203

Given fractions are 5030/662,7386/203

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 5030,7386

Greatest Common Factor of Numerators i.e. GCF of 5030,7386 is 2 .

LCM of Denominators means LCM of 662,203 as per the given fractions.

LCM of 662,203 is 134386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5030,7386

GCF of Fractions 5030/662,7386/203 is 2/134386

2 5030, 7386
2515, 3693

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

Greatest Common Factor of 5030,7386 By Matching Biggest Common Factor Method

Greatest Common Factor of 5030,7386 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 7386

List of positive integer factors of 7386 that divides 7386 without a remainder.

1,2,3,6,1231,2462,3693,7386

Greatest Common Factor

We found the factors 5030,7386 . The biggest common factor number is the GCF number.
So the greatest common factor 5030,7386 is 2.

Lets's calculate LCM of 662,203

Given numbers has no common factors except 1. So, there LCM is their product i.e 134386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134386

Therefore, the GCF of Fractions 5030/662,7386/203 is 2/134386

Least Common Multiple of 662,203 with GCF Formula

Least Common Multiple of 662,203 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 662,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,203) = 1

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

GCF(662,203) x common factors =1 x 1 = 1

LCM(662,203) = ( 662 × 203 ) / 1

LCM(662,203) = 134386 / 1

LCM(662,203) = 134386


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 5030/662, 7386/203

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 5030/662, 7386/203?

Answer: GCF of Numerators as per given numbers 5030/662, 7386/203 is

GCF of Numerators i.e. for 5030,7386 is 2

LCM of denominators i.e. for 662,203 is 134386.

Thus, GCF of Fractions is 2/134386.Finally, GCF of Fractions for 5030/662, 7386/203 is 2/134386.