Greatest Common Factor of 1685/238, 9300/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1685/238, 9300/715

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 1685/238,9300/715

Given fractions are 1685/238,9300/715

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 1685,9300

Greatest Common Factor of Numerators i.e. GCF of 1685,9300 is 5 .

LCM of Denominators means LCM of 238,715 as per the given fractions.

LCM of 238,715 is 170170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1685,9300

GCF of Fractions 1685/238,9300/715 is 5/170170

5 1685, 9300
337, 1860

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

Greatest Common Factor of 1685,9300 By Matching Biggest Common Factor Method

Greatest Common Factor of 1685,9300 By Matching Biggest Common Factor Method

Factors of 1685

List of positive integer factors of 1685 that divides 1685 without a remainder.

1,5,337,1685

Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300

Greatest Common Factor

We found the factors 1685,9300 . The biggest common factor number is the GCF number.
So the greatest common factor 1685,9300 is 5.

Lets's calculate LCM of 238,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 170170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/170170

Therefore, the GCF of Fractions 1685/238,9300/715 is 5/170170

Least Common Multiple of 238,715 with GCF Formula

Least Common Multiple of 238,715 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 238,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,715) = 1

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

GCF(238,715) x common factors =1 x 1 = 1

LCM(238,715) = ( 238 × 715 ) / 1

LCM(238,715) = 170170 / 1

LCM(238,715) = 170170


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 1685/238, 9300/715

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 1685/238, 9300/715?

Answer: GCF of Numerators as per given numbers 1685/238, 9300/715 is

GCF of Numerators i.e. for 1685,9300 is 5

LCM of denominators i.e. for 238,715 is 170170.

Thus, GCF of Fractions is 5/170170.Finally, GCF of Fractions for 1685/238, 9300/715 is 5/170170.