Greatest Common Factor of 5679/63, 6510/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5679/63, 6510/603

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 5679/63,6510/603

Given fractions are 5679/63,6510/603

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 5679,6510

Greatest Common Factor of Numerators i.e. GCF of 5679,6510 is 3 .

LCM of Denominators means LCM of 63,603 as per the given fractions.

LCM of 63,603 is 4221 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5679,6510

GCF of Fractions 5679/63,6510/603 is 3/4221

3 5679, 6510
1893, 2170

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5679,6510 By Matching Biggest Common Factor Method

Greatest Common Factor of 5679,6510 By Matching Biggest Common Factor Method

Factors of 5679

List of positive integer factors of 5679 that divides 5679 without a remainder.

1,3,9,631,1893,5679

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510

Greatest Common Factor

We found the factors 5679,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 5679,6510 is 3.

Lets's calculate LCM of 63,603

3 63, 603
3 21, 201
7, 67

∴ So the LCM of the given numbers is 3 x 3 x 7 x 67 = 4221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4221

Therefore, the GCF of Fractions 5679/63,6510/603 is 3/4221

Least Common Multiple of 63,603 with GCF Formula

Least Common Multiple of 63,603 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 63,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,603) = 9

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

GCF(63,603) x common factors =9 x 1 = 9

LCM(63,603) = ( 63 × 603 ) / 9

LCM(63,603) = 37989 / 9

LCM(63,603) = 4221


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 5679/63, 6510/603

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 5679/63, 6510/603?

Answer: GCF of Numerators as per given numbers 5679/63, 6510/603 is

GCF of Numerators i.e. for 5679,6510 is 3

LCM of denominators i.e. for 63,603 is 4221.

Thus, GCF of Fractions is 3/4221.Finally, GCF of Fractions for 5679/63, 6510/603 is 3/4221.