Greatest Common Factor of 498/34, 4707/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/34, 4707/400

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 498/34,4707/400

Given fractions are 498/34,4707/400

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 498,4707

Greatest Common Factor of Numerators i.e. GCF of 498,4707 is 3 .

LCM of Denominators means LCM of 34,400 as per the given fractions.

LCM of 34,400 is 6800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,4707

GCF of Fractions 498/34,4707/400 is 3/6800

3 498, 4707
166, 1569

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 498,4707 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,4707 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 4707

List of positive integer factors of 4707 that divides 4707 without a remainder.

1,3,9,523,1569,4707

Greatest Common Factor

We found the factors 498,4707 . The biggest common factor number is the GCF number.
So the greatest common factor 498,4707 is 3.

Lets's calculate LCM of 34,400

2 34, 400
17, 200

∴ So the LCM of the given numbers is 2 x 17 x 200 = 6800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6800

Therefore, the GCF of Fractions 498/34,4707/400 is 3/6800

Least Common Multiple of 34,400 with GCF Formula

Least Common Multiple of 34,400 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 34,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,400) = 2

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

GCF(34,400) x common factors =2 x 1 = 2

LCM(34,400) = ( 34 × 400 ) / 2

LCM(34,400) = 13600 / 2

LCM(34,400) = 6800


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 498/34, 4707/400

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 498/34, 4707/400?

Answer: GCF of Numerators as per given numbers 498/34, 4707/400 is

GCF of Numerators i.e. for 498,4707 is 3

LCM of denominators i.e. for 34,400 is 6800.

Thus, GCF of Fractions is 3/6800.Finally, GCF of Fractions for 498/34, 4707/400 is 3/6800.