Greatest Common Factor of 67/826, 532/328, 445/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/826, 532/328, 445/378

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 67/826,532/328,445/378

Given fractions are 67/826,532/328,445/378

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 67,532,445

Greatest Common Factor of Numerators i.e. GCF of 67,532,445 is 1 .

LCM of Denominators means LCM of 826,328,378 as per the given fractions.

LCM of 826,328,378 is 3657528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,532,445

GCF of Fractions 67/826,532/328,445/378 is 1/3657528

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

Greatest Common Factor of 67,532,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,532,445 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 445

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

1,5,89,445

Greatest Common Factor

We found the factors 67,532,445 . The biggest common factor number is the GCF number.
So the greatest common factor 67,532,445 is 1.

Lets's calculate LCM of 826,328,378

2 826, 328, 378
7 413, 164, 189
59, 164, 27

∴ So the LCM of the given numbers is 2 x 7 x 59 x 164 x 27 = 3657528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3657528

Therefore, the GCF of Fractions 67/826,532/328,445/378 is 1/3657528

Least Common Multiple of 826,328,378 with GCF Formula

Least Common Multiple of 826,328,378 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 826,328,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,328,378) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(826,328,378) x common factors =2 x 14 = 28

LCM(826,328,378) = ( 826 × 328 × 378 ) / 28

LCM(826,328,378) = 102410784 / 28

LCM(826,328,378) = 3657528


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 67/826, 532/328, 445/378

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 67/826, 532/328, 445/378?

Answer: GCF of Numerators as per given numbers 67/826, 532/328, 445/378 is

GCF of Numerators i.e. for 67,532,445 is 1

LCM of denominators i.e. for 826,328,378 is 3657528.

Thus, GCF of Fractions is 1/3657528.Finally, GCF of Fractions for 67/826, 532/328, 445/378 is 1/3657528.