Greatest Common Factor of 6510/900, 3563/8414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6510/900, 3563/8414

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 6510/900,3563/8414

Given fractions are 6510/900,3563/8414

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 6510,3563

Greatest Common Factor of Numerators i.e. GCF of 6510,3563 is 7 .

LCM of Denominators means LCM of 900,8414 as per the given fractions.

LCM of 900,8414 is 3786300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6510,3563

GCF of Fractions 6510/900,3563/8414 is 7/3786300

7 6510, 3563
930, 509

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6510,3563 By Matching Biggest Common Factor Method

Greatest Common Factor of 6510,3563 By Matching Biggest Common Factor Method

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

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1,7,509,3563

Greatest Common Factor

We found the factors 6510,3563 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,3563 is 7.

Lets's calculate LCM of 900,8414

2 900, 8414
450, 4207

∴ So the LCM of the given numbers is 2 x 450 x 4207 = 3786300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3786300

Therefore, the GCF of Fractions 6510/900,3563/8414 is 7/3786300

Least Common Multiple of 900,8414 with GCF Formula

Least Common Multiple of 900,8414 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 900,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,8414) = 2

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

GCF(900,8414) x common factors =2 x 1 = 2

LCM(900,8414) = ( 900 × 8414 ) / 2

LCM(900,8414) = 7572600 / 2

LCM(900,8414) = 3786300


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 6510/900, 3563/8414

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 6510/900, 3563/8414?

Answer: GCF of Numerators as per given numbers 6510/900, 3563/8414 is

GCF of Numerators i.e. for 6510,3563 is 7

LCM of denominators i.e. for 900,8414 is 3786300.

Thus, GCF of Fractions is 7/3786300.Finally, GCF of Fractions for 6510/900, 3563/8414 is 7/3786300.