Greatest Common Factor of 1625/68, 1105/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1625/68, 1105/678

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 1625/68,1105/678

Given fractions are 1625/68,1105/678

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 1625,1105

Greatest Common Factor of Numerators i.e. GCF of 1625,1105 is 65 .

LCM of Denominators means LCM of 68,678 as per the given fractions.

LCM of 68,678 is 23052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1625,1105

GCF of Fractions 1625/68,1105/678 is 65/23052

5 1625, 1105
13 325, 221
25, 17

∴ So the GCF of the given numbers is 5 x 13 = 65

Greatest Common Factor of 1625,1105 By Matching Biggest Common Factor Method

Greatest Common Factor of 1625,1105 By Matching Biggest Common Factor Method

Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1,5,13,25,65,125,325,1625

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 1625,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 1625,1105 is 65.

Lets's calculate LCM of 68,678

2 68, 678
34, 339

∴ So the LCM of the given numbers is 2 x 34 x 339 = 23052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/23052

Therefore, the GCF of Fractions 1625/68,1105/678 is 65/23052

Least Common Multiple of 68,678 with GCF Formula

Least Common Multiple of 68,678 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 68,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,678) = 2

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

GCF(68,678) x common factors =2 x 1 = 2

LCM(68,678) = ( 68 × 678 ) / 2

LCM(68,678) = 46104 / 2

LCM(68,678) = 23052


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 1625/68, 1105/678

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 1625/68, 1105/678?

Answer: GCF of Numerators as per given numbers 1625/68, 1105/678 is

GCF of Numerators i.e. for 1625,1105 is 65

LCM of denominators i.e. for 68,678 is 23052.

Thus, GCF of Fractions is 65/23052.Finally, GCF of Fractions for 1625/68, 1105/678 is 65/23052.