Greatest Common Factor of 549/375, 9822/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/375, 9822/802

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 549/375,9822/802

Given fractions are 549/375,9822/802

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 549,9822

Greatest Common Factor of Numerators i.e. GCF of 549,9822 is 3 .

LCM of Denominators means LCM of 375,802 as per the given fractions.

LCM of 375,802 is 300750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,9822

GCF of Fractions 549/375,9822/802 is 3/300750

3 549, 9822
183, 3274

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

Greatest Common Factor of 549,9822 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,9822 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1,2,3,6,1637,3274,4911,9822

Greatest Common Factor

We found the factors 549,9822 . The biggest common factor number is the GCF number.
So the greatest common factor 549,9822 is 3.

Lets's calculate LCM of 375,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 300750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/300750

Therefore, the GCF of Fractions 549/375,9822/802 is 3/300750

Least Common Multiple of 375,802 with GCF Formula

Least Common Multiple of 375,802 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 375,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,802) = 1

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

GCF(375,802) x common factors =1 x 1 = 1

LCM(375,802) = ( 375 × 802 ) / 1

LCM(375,802) = 300750 / 1

LCM(375,802) = 300750


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 549/375, 9822/802

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 549/375, 9822/802?

Answer: GCF of Numerators as per given numbers 549/375, 9822/802 is

GCF of Numerators i.e. for 549,9822 is 3

LCM of denominators i.e. for 375,802 is 300750.

Thus, GCF of Fractions is 3/300750.Finally, GCF of Fractions for 549/375, 9822/802 is 3/300750.