Greatest Common Factor of 168/808, 5628/4567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/808, 5628/4567

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 168/808,5628/4567

Given fractions are 168/808,5628/4567

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 168,5628

Greatest Common Factor of Numerators i.e. GCF of 168,5628 is 84 .

LCM of Denominators means LCM of 808,4567 as per the given fractions.

LCM of 808,4567 is 3690136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,5628

GCF of Fractions 168/808,5628/4567 is 84/3690136

2 168, 5628
2 84, 2814
3 42, 1407
7 14, 469
2, 67

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Greatest Common Factor of 168,5628 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,5628 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 5628

List of positive integer factors of 5628 that divides 5628 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628

Greatest Common Factor

We found the factors 168,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 168,5628 is 84.

Lets's calculate LCM of 808,4567

Given numbers has no common factors except 1. So, there LCM is their product i.e 3690136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 84/3690136

Therefore, the GCF of Fractions 168/808,5628/4567 is 84/3690136

Least Common Multiple of 808,4567 with GCF Formula

Least Common Multiple of 808,4567 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 808,4567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,4567) = 1

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

GCF(808,4567) x common factors =1 x 1 = 1

LCM(808,4567) = ( 808 × 4567 ) / 1

LCM(808,4567) = 3690136 / 1

LCM(808,4567) = 3690136


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 168/808, 5628/4567

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 168/808, 5628/4567?

Answer: GCF of Numerators as per given numbers 168/808, 5628/4567 is

GCF of Numerators i.e. for 168,5628 is 84

LCM of denominators i.e. for 808,4567 is 3690136.

Thus, GCF of Fractions is 84/3690136.Finally, GCF of Fractions for 168/808, 5628/4567 is 84/3690136.