Greatest Common Factor of 9246/708, 4368/1614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9246/708, 4368/1614

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 9246/708,4368/1614

Given fractions are 9246/708,4368/1614

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 9246,4368

Greatest Common Factor of Numerators i.e. GCF of 9246,4368 is 6 .

LCM of Denominators means LCM of 708,1614 as per the given fractions.

LCM of 708,1614 is 190452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9246,4368

GCF of Fractions 9246/708,4368/1614 is 6/190452

2 9246, 4368
3 4623, 2184
1541, 728

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9246,4368 By Matching Biggest Common Factor Method

Greatest Common Factor of 9246,4368 By Matching Biggest Common Factor Method

Factors of 9246

List of positive integer factors of 9246 that divides 9246 without a remainder.

1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246

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 9246,4368 . The biggest common factor number is the GCF number.
So the greatest common factor 9246,4368 is 6.

Lets's calculate LCM of 708,1614

2 708, 1614
3 354, 807
118, 269

∴ So the LCM of the given numbers is 2 x 3 x 118 x 269 = 190452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/190452

Therefore, the GCF of Fractions 9246/708,4368/1614 is 6/190452

Least Common Multiple of 708,1614 with GCF Formula

Least Common Multiple of 708,1614 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 708,1614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,1614) = 6

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

GCF(708,1614) x common factors =6 x 1 = 6

LCM(708,1614) = ( 708 × 1614 ) / 6

LCM(708,1614) = 1142712 / 6

LCM(708,1614) = 190452


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 9246/708, 4368/1614

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 9246/708, 4368/1614?

Answer: GCF of Numerators as per given numbers 9246/708, 4368/1614 is

GCF of Numerators i.e. for 9246,4368 is 6

LCM of denominators i.e. for 708,1614 is 190452.

Thus, GCF of Fractions is 6/190452.Finally, GCF of Fractions for 9246/708, 4368/1614 is 6/190452.