Greatest Common Factor of 681/19, 776/63, 225/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/19, 776/63, 225/149

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 681/19,776/63,225/149

Given fractions are 681/19,776/63,225/149

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 681,776,225

Greatest Common Factor of Numerators i.e. GCF of 681,776,225 is 1 .

LCM of Denominators means LCM of 19,63,149 as per the given fractions.

LCM of 19,63,149 is 178353 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,776,225

GCF of Fractions 681/19,776/63,225/149 is 1/178353

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

Greatest Common Factor of 681,776,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,776,225 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 681,776,225 . The biggest common factor number is the GCF number.
So the greatest common factor 681,776,225 is 1.

Lets's calculate LCM of 19,63,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 178353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178353

Therefore, the GCF of Fractions 681/19,776/63,225/149 is 1/178353

Least Common Multiple of 19,63,149 with GCF Formula

Least Common Multiple of 19,63,149 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 19,63,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,63,149) = 1

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

GCF(19,63,149) x common factors =1 x 1 = 1

LCM(19,63,149) = ( 19 × 63 × 149 ) / 1

LCM(19,63,149) = 178353 / 1

LCM(19,63,149) = 178353


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 681/19, 776/63, 225/149

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 681/19, 776/63, 225/149?

Answer: GCF of Numerators as per given numbers 681/19, 776/63, 225/149 is

GCF of Numerators i.e. for 681,776,225 is 1

LCM of denominators i.e. for 19,63,149 is 178353.

Thus, GCF of Fractions is 1/178353.Finally, GCF of Fractions for 681/19, 776/63, 225/149 is 1/178353.