Greatest Common Factor of 675/354, 700/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/354, 700/385

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 675/354,700/385

Given fractions are 675/354,700/385

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 675,700

Greatest Common Factor of Numerators i.e. GCF of 675,700 is 25 .

LCM of Denominators means LCM of 354,385 as per the given fractions.

LCM of 354,385 is 136290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,700

GCF of Fractions 675/354,700/385 is 25/136290

5 675, 700
5 135, 140
27, 28

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 675,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,700 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 675,700 . The biggest common factor number is the GCF number.
So the greatest common factor 675,700 is 25.

Lets's calculate LCM of 354,385

Given numbers has no common factors except 1. So, there LCM is their product i.e 136290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/136290

Therefore, the GCF of Fractions 675/354,700/385 is 25/136290

Least Common Multiple of 354,385 with GCF Formula

Least Common Multiple of 354,385 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 354,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,385) = 1

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

GCF(354,385) x common factors =1 x 1 = 1

LCM(354,385) = ( 354 × 385 ) / 1

LCM(354,385) = 136290 / 1

LCM(354,385) = 136290


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 675/354, 700/385

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 675/354, 700/385?

Answer: GCF of Numerators as per given numbers 675/354, 700/385 is

GCF of Numerators i.e. for 675,700 is 25

LCM of denominators i.e. for 354,385 is 136290.

Thus, GCF of Fractions is 25/136290.Finally, GCF of Fractions for 675/354, 700/385 is 25/136290.