Greatest Common Factor of 552/142, 1616/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/142, 1616/293

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 552/142,1616/293

Given fractions are 552/142,1616/293

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 552,1616

Greatest Common Factor of Numerators i.e. GCF of 552,1616 is 8 .

LCM of Denominators means LCM of 142,293 as per the given fractions.

LCM of 142,293 is 41606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,1616

GCF of Fractions 552/142,1616/293 is 8/41606

2 552, 1616
2 276, 808
2 138, 404
69, 202

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 552,1616 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,1616 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 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1,2,4,8,16,101,202,404,808,1616

Greatest Common Factor

We found the factors 552,1616 . The biggest common factor number is the GCF number.
So the greatest common factor 552,1616 is 8.

Lets's calculate LCM of 142,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 41606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/41606

Therefore, the GCF of Fractions 552/142,1616/293 is 8/41606

Least Common Multiple of 142,293 with GCF Formula

Least Common Multiple of 142,293 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 142,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,293) = 1

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

GCF(142,293) x common factors =1 x 1 = 1

LCM(142,293) = ( 142 × 293 ) / 1

LCM(142,293) = 41606 / 1

LCM(142,293) = 41606


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 552/142, 1616/293

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 552/142, 1616/293?

Answer: GCF of Numerators as per given numbers 552/142, 1616/293 is

GCF of Numerators i.e. for 552,1616 is 8

LCM of denominators i.e. for 142,293 is 41606.

Thus, GCF of Fractions is 8/41606.Finally, GCF of Fractions for 552/142, 1616/293 is 8/41606.