Greatest Common Factor of 9300/707, 8260/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9300/707, 8260/515

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 9300/707,8260/515

Given fractions are 9300/707,8260/515

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 9300,8260

Greatest Common Factor of Numerators i.e. GCF of 9300,8260 is 20 .

LCM of Denominators means LCM of 707,515 as per the given fractions.

LCM of 707,515 is 364105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9300,8260

GCF of Fractions 9300/707,8260/515 is 20/364105

2 9300, 8260
2 4650, 4130
5 2325, 2065
465, 413

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 9300,8260 By Matching Biggest Common Factor Method

Greatest Common Factor of 9300,8260 By Matching Biggest Common Factor Method

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

Factors of 8260

List of positive integer factors of 8260 that divides 8260 without a remainder.

1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260

Greatest Common Factor

We found the factors 9300,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 9300,8260 is 20.

Lets's calculate LCM of 707,515

Given numbers has no common factors except 1. So, there LCM is their product i.e 364105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/364105

Therefore, the GCF of Fractions 9300/707,8260/515 is 20/364105

Least Common Multiple of 707,515 with GCF Formula

Least Common Multiple of 707,515 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 707,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,515) = 1

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

GCF(707,515) x common factors =1 x 1 = 1

LCM(707,515) = ( 707 × 515 ) / 1

LCM(707,515) = 364105 / 1

LCM(707,515) = 364105


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 9300/707, 8260/515

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 9300/707, 8260/515?

Answer: GCF of Numerators as per given numbers 9300/707, 8260/515 is

GCF of Numerators i.e. for 9300,8260 is 20

LCM of denominators i.e. for 707,515 is 364105.

Thus, GCF of Fractions is 20/364105.Finally, GCF of Fractions for 9300/707, 8260/515 is 20/364105.