Greatest Common Factor of 61/19, 16/64, 625/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/19, 16/64, 625/307

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 61/19,16/64,625/307

Given fractions are 61/19,16/64,625/307

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 61,16,625

Greatest Common Factor of Numerators i.e. GCF of 61,16,625 is 1 .

LCM of Denominators means LCM of 19,64,307 as per the given fractions.

LCM of 19,64,307 is 373312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,16,625

GCF of Fractions 61/19,16/64,625/307 is 1/373312

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

Greatest Common Factor of 61,16,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,16,625 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 61,16,625 . The biggest common factor number is the GCF number.
So the greatest common factor 61,16,625 is 1.

Lets's calculate LCM of 19,64,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 373312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373312

Therefore, the GCF of Fractions 61/19,16/64,625/307 is 1/373312

Least Common Multiple of 19,64,307 with GCF Formula

Least Common Multiple of 19,64,307 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 19,64,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,64,307) = 1

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

GCF(19,64,307) x common factors =1 x 1 = 1

LCM(19,64,307) = ( 19 × 64 × 307 ) / 1

LCM(19,64,307) = 373312 / 1

LCM(19,64,307) = 373312


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 61/19, 16/64, 625/307

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 61/19, 16/64, 625/307?

Answer: GCF of Numerators as per given numbers 61/19, 16/64, 625/307 is

GCF of Numerators i.e. for 61,16,625 is 1

LCM of denominators i.e. for 19,64,307 is 373312.

Thus, GCF of Fractions is 1/373312.Finally, GCF of Fractions for 61/19, 16/64, 625/307 is 1/373312.