Greatest Common Factor of 1088/928, 2006/1075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1088/928, 2006/1075

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 1088/928,2006/1075

Given fractions are 1088/928,2006/1075

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 1088,2006

Greatest Common Factor of Numerators i.e. GCF of 1088,2006 is 34 .

LCM of Denominators means LCM of 928,1075 as per the given fractions.

LCM of 928,1075 is 997600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1088,2006

GCF of Fractions 1088/928,2006/1075 is 34/997600

2 1088, 2006
17 544, 1003
32, 59

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 1088,2006 By Matching Biggest Common Factor Method

Greatest Common Factor of 1088,2006 By Matching Biggest Common Factor Method

Factors of 1088

List of positive integer factors of 1088 that divides 1088 without a remainder.

1,2,4,8,16,17,32,34,64,68,136,272,544,1088

Factors of 2006

List of positive integer factors of 2006 that divides 2006 without a remainder.

1,2,17,34,59,118,1003,2006

Greatest Common Factor

We found the factors 1088,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 1088,2006 is 34.

Lets's calculate LCM of 928,1075

Given numbers has no common factors except 1. So, there LCM is their product i.e 997600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/997600

Therefore, the GCF of Fractions 1088/928,2006/1075 is 34/997600

Least Common Multiple of 928,1075 with GCF Formula

Least Common Multiple of 928,1075 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 928,1075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,1075) = 1

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

GCF(928,1075) x common factors =1 x 1 = 1

LCM(928,1075) = ( 928 × 1075 ) / 1

LCM(928,1075) = 997600 / 1

LCM(928,1075) = 997600


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 1088/928, 2006/1075

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 1088/928, 2006/1075?

Answer: GCF of Numerators as per given numbers 1088/928, 2006/1075 is

GCF of Numerators i.e. for 1088,2006 is 34

LCM of denominators i.e. for 928,1075 is 997600.

Thus, GCF of Fractions is 34/997600.Finally, GCF of Fractions for 1088/928, 2006/1075 is 34/997600.