Greatest Common Factor of 498/18, 989/23, 614/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/18, 989/23, 614/364

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 498/18,989/23,614/364

Given fractions are 498/18,989/23,614/364

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 498,989,614

Greatest Common Factor of Numerators i.e. GCF of 498,989,614 is 1 .

LCM of Denominators means LCM of 18,23,364 as per the given fractions.

LCM of 18,23,364 is 75348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,989,614

GCF of Fractions 498/18,989/23,614/364 is 1/75348

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

Greatest Common Factor of 498,989,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,989,614 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 498,989,614 . The biggest common factor number is the GCF number.
So the greatest common factor 498,989,614 is 1.

Lets's calculate LCM of 18,23,364

2 18, 23, 364
9, 23, 182

∴ So the LCM of the given numbers is 2 x 9 x 23 x 182 = 75348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75348

Therefore, the GCF of Fractions 498/18,989/23,614/364 is 1/75348

Least Common Multiple of 18,23,364 with GCF Formula

Least Common Multiple of 18,23,364 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 18,23,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,23,364) = 1

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

GCF(18,23,364) x common factors =1 x 2 = 2

LCM(18,23,364) = ( 18 × 23 × 364 ) / 2

LCM(18,23,364) = 150696 / 2

LCM(18,23,364) = 75348


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 498/18, 989/23, 614/364

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 498/18, 989/23, 614/364?

Answer: GCF of Numerators as per given numbers 498/18, 989/23, 614/364 is

GCF of Numerators i.e. for 498,989,614 is 1

LCM of denominators i.e. for 18,23,364 is 75348.

Thus, GCF of Fractions is 1/75348.Finally, GCF of Fractions for 498/18, 989/23, 614/364 is 1/75348.