Greatest Common Factor of 1425/35, 1155/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1425/35, 1155/554

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 1425/35,1155/554

Given fractions are 1425/35,1155/554

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 1425,1155

Greatest Common Factor of Numerators i.e. GCF of 1425,1155 is 15 .

LCM of Denominators means LCM of 35,554 as per the given fractions.

LCM of 35,554 is 19390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1425,1155

GCF of Fractions 1425/35,1155/554 is 15/19390

3 1425, 1155
5 475, 385
95, 77

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 1425,1155 By Matching Biggest Common Factor Method

Greatest Common Factor of 1425,1155 By Matching Biggest Common Factor Method

Factors of 1425

List of positive integer factors of 1425 that divides 1425 without a remainder.

1,3,5,15,19,25,57,75,95,285,475,1425

Factors of 1155

List of positive integer factors of 1155 that divides 1155 without a remainder.

1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155

Greatest Common Factor

We found the factors 1425,1155 . The biggest common factor number is the GCF number.
So the greatest common factor 1425,1155 is 15.

Lets's calculate LCM of 35,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 19390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/19390

Therefore, the GCF of Fractions 1425/35,1155/554 is 15/19390

Least Common Multiple of 35,554 with GCF Formula

Least Common Multiple of 35,554 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 35,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,554) = 1

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

GCF(35,554) x common factors =1 x 1 = 1

LCM(35,554) = ( 35 × 554 ) / 1

LCM(35,554) = 19390 / 1

LCM(35,554) = 19390


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 1425/35, 1155/554

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 1425/35, 1155/554?

Answer: GCF of Numerators as per given numbers 1425/35, 1155/554 is

GCF of Numerators i.e. for 1425,1155 is 15

LCM of denominators i.e. for 35,554 is 19390.

Thus, GCF of Fractions is 15/19390.Finally, GCF of Fractions for 1425/35, 1155/554 is 15/19390.