Greatest Common Factor of 630/759, 455/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/759, 455/199

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 630/759,455/199

Given fractions are 630/759,455/199

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 630,455

Greatest Common Factor of Numerators i.e. GCF of 630,455 is 35 .

LCM of Denominators means LCM of 759,199 as per the given fractions.

LCM of 759,199 is 151041 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,455

GCF of Fractions 630/759,455/199 is 35/151041

5 630, 455
7 126, 91
18, 13

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 630,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,455 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 630,455 . The biggest common factor number is the GCF number.
So the greatest common factor 630,455 is 35.

Lets's calculate LCM of 759,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 151041

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/151041

Therefore, the GCF of Fractions 630/759,455/199 is 35/151041

Least Common Multiple of 759,199 with GCF Formula

Least Common Multiple of 759,199 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 759,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,199) = 1

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

GCF(759,199) x common factors =1 x 1 = 1

LCM(759,199) = ( 759 × 199 ) / 1

LCM(759,199) = 151041 / 1

LCM(759,199) = 151041


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 630/759, 455/199

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 630/759, 455/199?

Answer: GCF of Numerators as per given numbers 630/759, 455/199 is

GCF of Numerators i.e. for 630,455 is 35

LCM of denominators i.e. for 759,199 is 151041.

Thus, GCF of Fractions is 35/151041.Finally, GCF of Fractions for 630/759, 455/199 is 35/151041.