Greatest Common Factor of 1170/847, 3250/4649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1170/847, 3250/4649

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 1170/847,3250/4649

Given fractions are 1170/847,3250/4649

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 1170,3250

Greatest Common Factor of Numerators i.e. GCF of 1170,3250 is 130 .

LCM of Denominators means LCM of 847,4649 as per the given fractions.

LCM of 847,4649 is 3937703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1170,3250

GCF of Fractions 1170/847,3250/4649 is 130/3937703

2 1170, 3250
5 585, 1625
13 117, 325
9, 25

∴ So the GCF of the given numbers is 2 x 5 x 13 = 130

Greatest Common Factor of 1170,3250 By Matching Biggest Common Factor Method

Greatest Common Factor of 1170,3250 By Matching Biggest Common Factor Method

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

Factors of 3250

List of positive integer factors of 3250 that divides 3250 without a remainder.

1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250

Greatest Common Factor

We found the factors 1170,3250 . The biggest common factor number is the GCF number.
So the greatest common factor 1170,3250 is 130.

Lets's calculate LCM of 847,4649

Given numbers has no common factors except 1. So, there LCM is their product i.e 3937703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 130/3937703

Therefore, the GCF of Fractions 1170/847,3250/4649 is 130/3937703

Least Common Multiple of 847,4649 with GCF Formula

Least Common Multiple of 847,4649 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 847,4649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,4649) = 1

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

GCF(847,4649) x common factors =1 x 1 = 1

LCM(847,4649) = ( 847 × 4649 ) / 1

LCM(847,4649) = 3937703 / 1

LCM(847,4649) = 3937703


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 1170/847, 3250/4649

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 1170/847, 3250/4649?

Answer: GCF of Numerators as per given numbers 1170/847, 3250/4649 is

GCF of Numerators i.e. for 1170,3250 is 130

LCM of denominators i.e. for 847,4649 is 3937703.

Thus, GCF of Fractions is 130/3937703.Finally, GCF of Fractions for 1170/847, 3250/4649 is 130/3937703.