Greatest Common Factor of 630/468, 5580/8168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/468, 5580/8168

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 630/468,5580/8168

Given fractions are 630/468,5580/8168

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 630,5580

Greatest Common Factor of Numerators i.e. GCF of 630,5580 is 90 .

LCM of Denominators means LCM of 468,8168 as per the given fractions.

LCM of 468,8168 is 955656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,5580

GCF of Fractions 630/468,5580/8168 is 90/955656

2 630, 5580
3 315, 2790
3 105, 930
5 35, 310
7, 62

∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90

Greatest Common Factor of 630,5580 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,5580 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 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580

Greatest Common Factor

We found the factors 630,5580 . The biggest common factor number is the GCF number.
So the greatest common factor 630,5580 is 90.

Lets's calculate LCM of 468,8168

2 468, 8168
2 234, 4084
117, 2042

∴ So the LCM of the given numbers is 2 x 2 x 117 x 2042 = 955656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 90/955656

Therefore, the GCF of Fractions 630/468,5580/8168 is 90/955656

Least Common Multiple of 468,8168 with GCF Formula

Least Common Multiple of 468,8168 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 468,8168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,8168) = 4

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

GCF(468,8168) x common factors =4 x 1 = 4

LCM(468,8168) = ( 468 × 8168 ) / 4

LCM(468,8168) = 3822624 / 4

LCM(468,8168) = 955656


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 630/468, 5580/8168

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 630/468, 5580/8168?

Answer: GCF of Numerators as per given numbers 630/468, 5580/8168 is

GCF of Numerators i.e. for 630,5580 is 90

LCM of denominators i.e. for 468,8168 is 955656.

Thus, GCF of Fractions is 90/955656.Finally, GCF of Fractions for 630/468, 5580/8168 is 90/955656.