Greatest Common Factor of 3685/910, 1170/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3685/910, 1170/845

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 3685/910,1170/845

Given fractions are 3685/910,1170/845

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 3685,1170

Greatest Common Factor of Numerators i.e. GCF of 3685,1170 is 5 .

LCM of Denominators means LCM of 910,845 as per the given fractions.

LCM of 910,845 is 11830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3685,1170

GCF of Fractions 3685/910,1170/845 is 5/11830

5 3685, 1170
737, 234

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3685,1170 By Matching Biggest Common Factor Method

Greatest Common Factor of 3685,1170 By Matching Biggest Common Factor Method

Factors of 3685

List of positive integer factors of 3685 that divides 3685 without a remainder.

1,5,11,55,67,335,737,3685

Factors of 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors 3685,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 3685,1170 is 5.

Lets's calculate LCM of 910,845

5 910, 845
13 182, 169
14, 13

∴ So the LCM of the given numbers is 5 x 13 x 14 x 13 = 11830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/11830

Therefore, the GCF of Fractions 3685/910,1170/845 is 5/11830

Least Common Multiple of 910,845 with GCF Formula

Least Common Multiple of 910,845 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 910,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,845) = 65

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

GCF(910,845) x common factors =65 x 1 = 65

LCM(910,845) = ( 910 × 845 ) / 65

LCM(910,845) = 768950 / 65

LCM(910,845) = 11830


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 3685/910, 1170/845

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 3685/910, 1170/845?

Answer: GCF of Numerators as per given numbers 3685/910, 1170/845 is

GCF of Numerators i.e. for 3685,1170 is 5

LCM of denominators i.e. for 910,845 is 11830.

Thus, GCF of Fractions is 5/11830.Finally, GCF of Fractions for 3685/910, 1170/845 is 5/11830.