Greatest Common Factor of 1039/35, 7105/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1039/35, 7105/648

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 1039/35,7105/648

Given fractions are 1039/35,7105/648

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 1039,7105

Greatest Common Factor of Numerators i.e. GCF of 1039,7105 is 1 .

LCM of Denominators means LCM of 35,648 as per the given fractions.

LCM of 35,648 is 22680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1039,7105

GCF of Fractions 1039/35,7105/648 is 1/22680

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

Greatest Common Factor of 1039,7105 By Matching Biggest Common Factor Method

Greatest Common Factor of 1039,7105 By Matching Biggest Common Factor Method

Factors of 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1,1039

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1,5,7,29,35,49,145,203,245,1015,1421,7105

Greatest Common Factor

We found the factors 1039,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 1039,7105 is 1.

Lets's calculate LCM of 35,648

Given numbers has no common factors except 1. So, there LCM is their product i.e 22680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22680

Therefore, the GCF of Fractions 1039/35,7105/648 is 1/22680

Least Common Multiple of 35,648 with GCF Formula

Least Common Multiple of 35,648 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 35,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,648) = 1

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

GCF(35,648) x common factors =1 x 1 = 1

LCM(35,648) = ( 35 × 648 ) / 1

LCM(35,648) = 22680 / 1

LCM(35,648) = 22680


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 1039/35, 7105/648

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 1039/35, 7105/648?

Answer: GCF of Numerators as per given numbers 1039/35, 7105/648 is

GCF of Numerators i.e. for 1039,7105 is 1

LCM of denominators i.e. for 35,648 is 22680.

Thus, GCF of Fractions is 1/22680.Finally, GCF of Fractions for 1039/35, 7105/648 is 1/22680.