Greatest Common Factor of 6405/889, 3705/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6405/889, 3705/651

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 6405/889,3705/651

Given fractions are 6405/889,3705/651

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 6405,3705

Greatest Common Factor of Numerators i.e. GCF of 6405,3705 is 15 .

LCM of Denominators means LCM of 889,651 as per the given fractions.

LCM of 889,651 is 82677 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6405,3705

GCF of Fractions 6405/889,3705/651 is 15/82677

3 6405, 3705
5 2135, 1235
427, 247

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 6405,3705 By Matching Biggest Common Factor Method

Greatest Common Factor of 6405,3705 By Matching Biggest Common Factor Method

Factors of 6405

List of positive integer factors of 6405 that divides 6405 without a remainder.

1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405

Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Greatest Common Factor

We found the factors 6405,3705 . The biggest common factor number is the GCF number.
So the greatest common factor 6405,3705 is 15.

Lets's calculate LCM of 889,651

7 889, 651
127, 93

∴ So the LCM of the given numbers is 7 x 127 x 93 = 82677

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/82677

Therefore, the GCF of Fractions 6405/889,3705/651 is 15/82677

Least Common Multiple of 889,651 with GCF Formula

Least Common Multiple of 889,651 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 889,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,651) = 7

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

GCF(889,651) x common factors =7 x 1 = 7

LCM(889,651) = ( 889 × 651 ) / 7

LCM(889,651) = 578739 / 7

LCM(889,651) = 82677


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 6405/889, 3705/651

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 6405/889, 3705/651?

Answer: GCF of Numerators as per given numbers 6405/889, 3705/651 is

GCF of Numerators i.e. for 6405,3705 is 15

LCM of denominators i.e. for 889,651 is 82677.

Thus, GCF of Fractions is 15/82677.Finally, GCF of Fractions for 6405/889, 3705/651 is 15/82677.