Greatest Common Factor of 5/89, 67/13, 98/487, 746/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/89, 67/13, 98/487, 746/850

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 5/89,67/13,98/487,746/850

Given fractions are 5/89,67/13,98/487,746/850

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 5,67,98,746

Greatest Common Factor of Numerators i.e. GCF of 5,67,98,746 is 1 .

LCM of Denominators means LCM of 89,13,487,850 as per the given fractions.

LCM of 89,13,487,850 is 478940150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,67,98,746

GCF of Fractions 5/89,67/13,98/487,746/850 is 1/478940150

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

Greatest Common Factor of 5,67,98,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,67,98,746 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 67

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

1,67

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 5,67,98,746 . The biggest common factor number is the GCF number.
So the greatest common factor 5,67,98,746 is 1.

Lets's calculate LCM of 89,13,487,850

Given numbers has no common factors except 1. So, there LCM is their product i.e 478940150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478940150

Therefore, the GCF of Fractions 5/89,67/13,98/487,746/850 is 1/478940150

Least Common Multiple of 89,13,487,850 with GCF Formula

Least Common Multiple of 89,13,487,850 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 89,13,487,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,13,487,850) = 1

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

GCF(89,13,487,850) x common factors =1 x 1 = 1

LCM(89,13,487,850) = ( 89 × 13 × 487 × 850 ) / 1

LCM(89,13,487,850) = 478940150 / 1

LCM(89,13,487,850) = 478940150


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 5/89, 67/13, 98/487, 746/850

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 5/89, 67/13, 98/487, 746/850?

Answer: GCF of Numerators as per given numbers 5/89, 67/13, 98/487, 746/850 is

GCF of Numerators i.e. for 5,67,98,746 is 1

LCM of denominators i.e. for 89,13,487,850 is 478940150.

Thus, GCF of Fractions is 1/478940150.Finally, GCF of Fractions for 5/89, 67/13, 98/487, 746/850 is 1/478940150.