Greatest Common Factor of 81/78, 45/23, 685/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/78, 45/23, 685/224

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 81/78,45/23,685/224

Given fractions are 81/78,45/23,685/224

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 81,45,685

Greatest Common Factor of Numerators i.e. GCF of 81,45,685 is 1 .

LCM of Denominators means LCM of 78,23,224 as per the given fractions.

LCM of 78,23,224 is 200928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,45,685

GCF of Fractions 81/78,45/23,685/224 is 1/200928

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

Greatest Common Factor of 81,45,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,45,685 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 81,45,685 . The biggest common factor number is the GCF number.
So the greatest common factor 81,45,685 is 1.

Lets's calculate LCM of 78,23,224

2 78, 23, 224
39, 23, 112

∴ So the LCM of the given numbers is 2 x 39 x 23 x 112 = 200928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200928

Therefore, the GCF of Fractions 81/78,45/23,685/224 is 1/200928

Least Common Multiple of 78,23,224 with GCF Formula

Least Common Multiple of 78,23,224 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 78,23,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,23,224) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,23,224) x common factors =1 x 2 = 2

LCM(78,23,224) = ( 78 × 23 × 224 ) / 2

LCM(78,23,224) = 401856 / 2

LCM(78,23,224) = 200928


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 81/78, 45/23, 685/224

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 81/78, 45/23, 685/224?

Answer: GCF of Numerators as per given numbers 81/78, 45/23, 685/224 is

GCF of Numerators i.e. for 81,45,685 is 1

LCM of denominators i.e. for 78,23,224 is 200928.

Thus, GCF of Fractions is 1/200928.Finally, GCF of Fractions for 81/78, 45/23, 685/224 is 1/200928.