Greatest Common Factor of 445/67, 864/47, 748/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 445/67, 864/47, 748/86

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 445/67,864/47,748/86

Given fractions are 445/67,864/47,748/86

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 445,864,748

Greatest Common Factor of Numerators i.e. GCF of 445,864,748 is 1 .

LCM of Denominators means LCM of 67,47,86 as per the given fractions.

LCM of 67,47,86 is 270814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 445,864,748

GCF of Fractions 445/67,864/47,748/86 is 1/270814

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

Greatest Common Factor of 445,864,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,864,748 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 445,864,748 . The biggest common factor number is the GCF number.
So the greatest common factor 445,864,748 is 1.

Lets's calculate LCM of 67,47,86

Given numbers has no common factors except 1. So, there LCM is their product i.e 270814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270814

Therefore, the GCF of Fractions 445/67,864/47,748/86 is 1/270814

Least Common Multiple of 67,47,86 with GCF Formula

Least Common Multiple of 67,47,86 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 67,47,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,47,86) = 1

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

GCF(67,47,86) x common factors =1 x 1 = 1

LCM(67,47,86) = ( 67 × 47 × 86 ) / 1

LCM(67,47,86) = 270814 / 1

LCM(67,47,86) = 270814


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 445/67, 864/47, 748/86

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 445/67, 864/47, 748/86?

Answer: GCF of Numerators as per given numbers 445/67, 864/47, 748/86 is

GCF of Numerators i.e. for 445,864,748 is 1

LCM of denominators i.e. for 67,47,86 is 270814.

Thus, GCF of Fractions is 1/270814.Finally, GCF of Fractions for 445/67, 864/47, 748/86 is 1/270814.