Greatest Common Factor of 9145/923, 4145/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9145/923, 4145/870

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 9145/923,4145/870

Given fractions are 9145/923,4145/870

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 9145,4145

Greatest Common Factor of Numerators i.e. GCF of 9145,4145 is 5 .

LCM of Denominators means LCM of 923,870 as per the given fractions.

LCM of 923,870 is 803010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9145,4145

GCF of Fractions 9145/923,4145/870 is 5/803010

5 9145, 4145
1829, 829

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

Greatest Common Factor of 9145,4145 By Matching Biggest Common Factor Method

Greatest Common Factor of 9145,4145 By Matching Biggest Common Factor Method

Factors of 9145

List of positive integer factors of 9145 that divides 9145 without a remainder.

1,5,31,59,155,295,1829,9145

Factors of 4145

List of positive integer factors of 4145 that divides 4145 without a remainder.

1,5,829,4145

Greatest Common Factor

We found the factors 9145,4145 . The biggest common factor number is the GCF number.
So the greatest common factor 9145,4145 is 5.

Lets's calculate LCM of 923,870

Given numbers has no common factors except 1. So, there LCM is their product i.e 803010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/803010

Therefore, the GCF of Fractions 9145/923,4145/870 is 5/803010

Least Common Multiple of 923,870 with GCF Formula

Least Common Multiple of 923,870 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 923,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,870) = 1

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

GCF(923,870) x common factors =1 x 1 = 1

LCM(923,870) = ( 923 × 870 ) / 1

LCM(923,870) = 803010 / 1

LCM(923,870) = 803010


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 9145/923, 4145/870

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 9145/923, 4145/870?

Answer: GCF of Numerators as per given numbers 9145/923, 4145/870 is

GCF of Numerators i.e. for 9145,4145 is 5

LCM of denominators i.e. for 923,870 is 803010.

Thus, GCF of Fractions is 5/803010.Finally, GCF of Fractions for 9145/923, 4145/870 is 5/803010.