Greatest Common Factor of 552/85, 9830/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/85, 9830/558

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 552/85,9830/558

Given fractions are 552/85,9830/558

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 552,9830

Greatest Common Factor of Numerators i.e. GCF of 552,9830 is 2 .

LCM of Denominators means LCM of 85,558 as per the given fractions.

LCM of 85,558 is 47430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,9830

GCF of Fractions 552/85,9830/558 is 2/47430

2 552, 9830
276, 4915

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 552,9830 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,9830 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1,2,5,10,983,1966,4915,9830

Greatest Common Factor

We found the factors 552,9830 . The biggest common factor number is the GCF number.
So the greatest common factor 552,9830 is 2.

Lets's calculate LCM of 85,558

Given numbers has no common factors except 1. So, there LCM is their product i.e 47430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47430

Therefore, the GCF of Fractions 552/85,9830/558 is 2/47430

Least Common Multiple of 85,558 with GCF Formula

Least Common Multiple of 85,558 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 85,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,558) = 1

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

GCF(85,558) x common factors =1 x 1 = 1

LCM(85,558) = ( 85 × 558 ) / 1

LCM(85,558) = 47430 / 1

LCM(85,558) = 47430


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 552/85, 9830/558

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 552/85, 9830/558?

Answer: GCF of Numerators as per given numbers 552/85, 9830/558 is

GCF of Numerators i.e. for 552,9830 is 2

LCM of denominators i.e. for 85,558 is 47430.

Thus, GCF of Fractions is 2/47430.Finally, GCF of Fractions for 552/85, 9830/558 is 2/47430.