Greatest Common Factor of 496/390, 5749/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/390, 5749/203

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 496/390,5749/203

Given fractions are 496/390,5749/203

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 496,5749

Greatest Common Factor of Numerators i.e. GCF of 496,5749 is 1 .

LCM of Denominators means LCM of 390,203 as per the given fractions.

LCM of 390,203 is 79170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,5749

GCF of Fractions 496/390,5749/203 is 1/79170

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

Greatest Common Factor of 496,5749 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,5749 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 5749

List of positive integer factors of 5749 that divides 5749 without a remainder.

1,5749

Greatest Common Factor

We found the factors 496,5749 . The biggest common factor number is the GCF number.
So the greatest common factor 496,5749 is 1.

Lets's calculate LCM of 390,203

Given numbers has no common factors except 1. So, there LCM is their product i.e 79170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79170

Therefore, the GCF of Fractions 496/390,5749/203 is 1/79170

Least Common Multiple of 390,203 with GCF Formula

Least Common Multiple of 390,203 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 390,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,203) = 1

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

GCF(390,203) x common factors =1 x 1 = 1

LCM(390,203) = ( 390 × 203 ) / 1

LCM(390,203) = 79170 / 1

LCM(390,203) = 79170


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 496/390, 5749/203

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 496/390, 5749/203?

Answer: GCF of Numerators as per given numbers 496/390, 5749/203 is

GCF of Numerators i.e. for 496,5749 is 1

LCM of denominators i.e. for 390,203 is 79170.

Thus, GCF of Fractions is 1/79170.Finally, GCF of Fractions for 496/390, 5749/203 is 1/79170.