Greatest Common Factor of 7399/942, 9557/8662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7399/942, 9557/8662

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 7399/942,9557/8662

Given fractions are 7399/942,9557/8662

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 7399,9557

Greatest Common Factor of Numerators i.e. GCF of 7399,9557 is 1 .

LCM of Denominators means LCM of 942,8662 as per the given fractions.

LCM of 942,8662 is 4079802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7399,9557

GCF of Fractions 7399/942,9557/8662 is 1/4079802

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7399,9557 By Matching Biggest Common Factor Method

Greatest Common Factor of 7399,9557 By Matching Biggest Common Factor Method

Factors of 7399

List of positive integer factors of 7399 that divides 7399 without a remainder.

1,7,49,151,1057,7399

Factors of 9557

List of positive integer factors of 9557 that divides 9557 without a remainder.

1,19,503,9557

Greatest Common Factor

We found the factors 7399,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 7399,9557 is 1.

Lets's calculate LCM of 942,8662

2 942, 8662
471, 4331

∴ So the LCM of the given numbers is 2 x 471 x 4331 = 4079802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4079802

Therefore, the GCF of Fractions 7399/942,9557/8662 is 1/4079802

Least Common Multiple of 942,8662 with GCF Formula

Least Common Multiple of 942,8662 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 942,8662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,8662) = 2

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

GCF(942,8662) x common factors =2 x 1 = 2

LCM(942,8662) = ( 942 × 8662 ) / 2

LCM(942,8662) = 8159604 / 2

LCM(942,8662) = 4079802


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 7399/942, 9557/8662

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 7399/942, 9557/8662?

Answer: GCF of Numerators as per given numbers 7399/942, 9557/8662 is

GCF of Numerators i.e. for 7399,9557 is 1

LCM of denominators i.e. for 942,8662 is 4079802.

Thus, GCF of Fractions is 1/4079802.Finally, GCF of Fractions for 7399/942, 9557/8662 is 1/4079802.