Greatest Common Factor of 9296/745, 6080/8974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9296/745, 6080/8974

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 9296/745,6080/8974

Given fractions are 9296/745,6080/8974

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 9296,6080

Greatest Common Factor of Numerators i.e. GCF of 9296,6080 is 16 .

LCM of Denominators means LCM of 745,8974 as per the given fractions.

LCM of 745,8974 is 6685630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9296,6080

GCF of Fractions 9296/745,6080/8974 is 16/6685630

2 9296, 6080
2 4648, 3040
2 2324, 1520
2 1162, 760
581, 380

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 9296,6080 By Matching Biggest Common Factor Method

Greatest Common Factor of 9296,6080 By Matching Biggest Common Factor Method

Factors of 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296

Factors of 6080

List of positive integer factors of 6080 that divides 6080 without a remainder.

1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080

Greatest Common Factor

We found the factors 9296,6080 . The biggest common factor number is the GCF number.
So the greatest common factor 9296,6080 is 16.

Lets's calculate LCM of 745,8974

Given numbers has no common factors except 1. So, there LCM is their product i.e 6685630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/6685630

Therefore, the GCF of Fractions 9296/745,6080/8974 is 16/6685630

Least Common Multiple of 745,8974 with GCF Formula

Least Common Multiple of 745,8974 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 745,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,8974) = 1

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

GCF(745,8974) x common factors =1 x 1 = 1

LCM(745,8974) = ( 745 × 8974 ) / 1

LCM(745,8974) = 6685630 / 1

LCM(745,8974) = 6685630


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 9296/745, 6080/8974

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 9296/745, 6080/8974?

Answer: GCF of Numerators as per given numbers 9296/745, 6080/8974 is

GCF of Numerators i.e. for 9296,6080 is 16

LCM of denominators i.e. for 745,8974 is 6685630.

Thus, GCF of Fractions is 16/6685630.Finally, GCF of Fractions for 9296/745, 6080/8974 is 16/6685630.