Greatest Common Factor of 7145/19, 7419/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7145/19, 7419/470

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 7145/19,7419/470

Given fractions are 7145/19,7419/470

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 7145,7419

Greatest Common Factor of Numerators i.e. GCF of 7145,7419 is 1 .

LCM of Denominators means LCM of 19,470 as per the given fractions.

LCM of 19,470 is 8930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7145,7419

GCF of Fractions 7145/19,7419/470 is 1/8930

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

Greatest Common Factor of 7145,7419 By Matching Biggest Common Factor Method

Greatest Common Factor of 7145,7419 By Matching Biggest Common Factor Method

Factors of 7145

List of positive integer factors of 7145 that divides 7145 without a remainder.

1,5,1429,7145

Factors of 7419

List of positive integer factors of 7419 that divides 7419 without a remainder.

1,3,2473,7419

Greatest Common Factor

We found the factors 7145,7419 . The biggest common factor number is the GCF number.
So the greatest common factor 7145,7419 is 1.

Lets's calculate LCM of 19,470

Given numbers has no common factors except 1. So, there LCM is their product i.e 8930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8930

Therefore, the GCF of Fractions 7145/19,7419/470 is 1/8930

Least Common Multiple of 19,470 with GCF Formula

Least Common Multiple of 19,470 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 19,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,470) = 1

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

GCF(19,470) x common factors =1 x 1 = 1

LCM(19,470) = ( 19 × 470 ) / 1

LCM(19,470) = 8930 / 1

LCM(19,470) = 8930


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 7145/19, 7419/470

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 7145/19, 7419/470?

Answer: GCF of Numerators as per given numbers 7145/19, 7419/470 is

GCF of Numerators i.e. for 7145,7419 is 1

LCM of denominators i.e. for 19,470 is 8930.

Thus, GCF of Fractions is 1/8930.Finally, GCF of Fractions for 7145/19, 7419/470 is 1/8930.