Greatest Common Factor of 849/24, 692/40, 498/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 849/24, 692/40, 498/759

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 849/24,692/40,498/759

Given fractions are 849/24,692/40,498/759

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 849,692,498

Greatest Common Factor of Numerators i.e. GCF of 849,692,498 is 1 .

LCM of Denominators means LCM of 24,40,759 as per the given fractions.

LCM of 24,40,759 is 30360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 849,692,498

GCF of Fractions 849/24,692/40,498/759 is 1/30360

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

Greatest Common Factor of 849,692,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,692,498 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 498

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

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

Greatest Common Factor

We found the factors 849,692,498 . The biggest common factor number is the GCF number.
So the greatest common factor 849,692,498 is 1.

Lets's calculate LCM of 24,40,759

2 24, 40, 759
2 12, 20, 759
2 6, 10, 759
3 3, 5, 759
1, 5, 253

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 5 x 253 = 30360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30360

Therefore, the GCF of Fractions 849/24,692/40,498/759 is 1/30360

Least Common Multiple of 24,40,759 with GCF Formula

Least Common Multiple of 24,40,759 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 24,40,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,40,759) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(24,40,759) x common factors =1 x 24 = 24

LCM(24,40,759) = ( 24 × 40 × 759 ) / 24

LCM(24,40,759) = 728640 / 24

LCM(24,40,759) = 30360


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 849/24, 692/40, 498/759

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 849/24, 692/40, 498/759?

Answer: GCF of Numerators as per given numbers 849/24, 692/40, 498/759 is

GCF of Numerators i.e. for 849,692,498 is 1

LCM of denominators i.e. for 24,40,759 is 30360.

Thus, GCF of Fractions is 1/30360.Finally, GCF of Fractions for 849/24, 692/40, 498/759 is 1/30360.