Greatest Common Factor of 8670/759, 7520/1259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8670/759, 7520/1259

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 8670/759,7520/1259

Given fractions are 8670/759,7520/1259

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 8670,7520

Greatest Common Factor of Numerators i.e. GCF of 8670,7520 is 10 .

LCM of Denominators means LCM of 759,1259 as per the given fractions.

LCM of 759,1259 is 955581 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8670,7520

GCF of Fractions 8670/759,7520/1259 is 10/955581

2 8670, 7520
5 4335, 3760
867, 752

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8670,7520 By Matching Biggest Common Factor Method

Greatest Common Factor of 8670,7520 By Matching Biggest Common Factor Method

Factors of 8670

List of positive integer factors of 8670 that divides 8670 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670

Factors of 7520

List of positive integer factors of 7520 that divides 7520 without a remainder.

1,2,4,5,8,10,16,20,32,40,47,80,94,160,188,235,376,470,752,940,1504,1880,3760,7520

Greatest Common Factor

We found the factors 8670,7520 . The biggest common factor number is the GCF number.
So the greatest common factor 8670,7520 is 10.

Lets's calculate LCM of 759,1259

Given numbers has no common factors except 1. So, there LCM is their product i.e 955581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/955581

Therefore, the GCF of Fractions 8670/759,7520/1259 is 10/955581

Least Common Multiple of 759,1259 with GCF Formula

Least Common Multiple of 759,1259 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 759,1259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,1259) = 1

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

GCF(759,1259) x common factors =1 x 1 = 1

LCM(759,1259) = ( 759 × 1259 ) / 1

LCM(759,1259) = 955581 / 1

LCM(759,1259) = 955581


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 8670/759, 7520/1259

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 8670/759, 7520/1259?

Answer: GCF of Numerators as per given numbers 8670/759, 7520/1259 is

GCF of Numerators i.e. for 8670,7520 is 10

LCM of denominators i.e. for 759,1259 is 955581.

Thus, GCF of Fractions is 10/955581.Finally, GCF of Fractions for 8670/759, 7520/1259 is 10/955581.