Greatest Common Factor of 182/696, 4368/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/696, 4368/325

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 182/696,4368/325

Given fractions are 182/696,4368/325

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 182,4368

Greatest Common Factor of Numerators i.e. GCF of 182,4368 is 182 .

LCM of Denominators means LCM of 696,325 as per the given fractions.

LCM of 696,325 is 226200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,4368

GCF of Fractions 182/696,4368/325 is 182/226200

2 182, 4368
7 91, 2184
13 13, 312
1, 24

∴ So the GCF of the given numbers is 2 x 7 x 13 = 182

Greatest Common Factor of 182,4368 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,4368 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 4368

List of positive integer factors of 4368 that divides 4368 without a remainder.

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368

Greatest Common Factor

We found the factors 182,4368 . The biggest common factor number is the GCF number.
So the greatest common factor 182,4368 is 182.

Lets's calculate LCM of 696,325

Given numbers has no common factors except 1. So, there LCM is their product i.e 226200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 182/226200

Therefore, the GCF of Fractions 182/696,4368/325 is 182/226200

Least Common Multiple of 696,325 with GCF Formula

Least Common Multiple of 696,325 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 696,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,325) = 1

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

GCF(696,325) x common factors =1 x 1 = 1

LCM(696,325) = ( 696 × 325 ) / 1

LCM(696,325) = 226200 / 1

LCM(696,325) = 226200


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 182/696, 4368/325

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 182/696, 4368/325?

Answer: GCF of Numerators as per given numbers 182/696, 4368/325 is

GCF of Numerators i.e. for 182,4368 is 182

LCM of denominators i.e. for 696,325 is 226200.

Thus, GCF of Fractions is 182/226200.Finally, GCF of Fractions for 182/696, 4368/325 is 182/226200.