Greatest Common Factor of 630/82, 455/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/82, 455/221

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 630/82,455/221

Given fractions are 630/82,455/221

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 82,221 as per the given fractions.

LCM of 82,221 is 18122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,455

GCF of Fractions 630/82,455/221 is 35/18122

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 82,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 18122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/18122

Therefore, the GCF of Fractions 630/82,455/221 is 35/18122

Least Common Multiple of 82,221 with GCF Formula

Least Common Multiple of 82,221 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 82,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,221) = 1

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

GCF(82,221) x common factors =1 x 1 = 1

LCM(82,221) = ( 82 × 221 ) / 1

LCM(82,221) = 18122 / 1

LCM(82,221) = 18122


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 630/82, 455/221

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 630/82, 455/221?

Answer: GCF of Numerators as per given numbers 630/82, 455/221 is

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

LCM of denominators i.e. for 82,221 is 18122.

Thus, GCF of Fractions is 35/18122.Finally, GCF of Fractions for 630/82, 455/221 is 35/18122.