Greatest Common Factor of 4468/176, 6856/8593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4468/176, 6856/8593

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 4468/176,6856/8593

Given fractions are 4468/176,6856/8593

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 4468,6856

Greatest Common Factor of Numerators i.e. GCF of 4468,6856 is 4 .

LCM of Denominators means LCM of 176,8593 as per the given fractions.

LCM of 176,8593 is 1512368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4468,6856

GCF of Fractions 4468/176,6856/8593 is 4/1512368

2 4468, 6856
2 2234, 3428
1117, 1714

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4468,6856 By Matching Biggest Common Factor Method

Greatest Common Factor of 4468,6856 By Matching Biggest Common Factor Method

Factors of 4468

List of positive integer factors of 4468 that divides 4468 without a remainder.

1,2,4,1117,2234,4468

Factors of 6856

List of positive integer factors of 6856 that divides 6856 without a remainder.

1,2,4,8,857,1714,3428,6856

Greatest Common Factor

We found the factors 4468,6856 . The biggest common factor number is the GCF number.
So the greatest common factor 4468,6856 is 4.

Lets's calculate LCM of 176,8593

Given numbers has no common factors except 1. So, there LCM is their product i.e 1512368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1512368

Therefore, the GCF of Fractions 4468/176,6856/8593 is 4/1512368

Least Common Multiple of 176,8593 with GCF Formula

Least Common Multiple of 176,8593 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 176,8593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,8593) = 1

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

GCF(176,8593) x common factors =1 x 1 = 1

LCM(176,8593) = ( 176 × 8593 ) / 1

LCM(176,8593) = 1512368 / 1

LCM(176,8593) = 1512368


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 4468/176, 6856/8593

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 4468/176, 6856/8593?

Answer: GCF of Numerators as per given numbers 4468/176, 6856/8593 is

GCF of Numerators i.e. for 4468,6856 is 4

LCM of denominators i.e. for 176,8593 is 1512368.

Thus, GCF of Fractions is 4/1512368.Finally, GCF of Fractions for 4468/176, 6856/8593 is 4/1512368.