Greatest Common Factor of 7614/803, 2496/3338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7614/803, 2496/3338

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 7614/803,2496/3338

Given fractions are 7614/803,2496/3338

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 7614,2496

Greatest Common Factor of Numerators i.e. GCF of 7614,2496 is 6 .

LCM of Denominators means LCM of 803,3338 as per the given fractions.

LCM of 803,3338 is 2680414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7614,2496

GCF of Fractions 7614/803,2496/3338 is 6/2680414

2 7614, 2496
3 3807, 1248
1269, 416

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

Greatest Common Factor of 7614,2496 By Matching Biggest Common Factor Method

Greatest Common Factor of 7614,2496 By Matching Biggest Common Factor Method

Factors of 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496

Greatest Common Factor

We found the factors 7614,2496 . The biggest common factor number is the GCF number.
So the greatest common factor 7614,2496 is 6.

Lets's calculate LCM of 803,3338

Given numbers has no common factors except 1. So, there LCM is their product i.e 2680414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2680414

Therefore, the GCF of Fractions 7614/803,2496/3338 is 6/2680414

Least Common Multiple of 803,3338 with GCF Formula

Least Common Multiple of 803,3338 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 803,3338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,3338) = 1

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

GCF(803,3338) x common factors =1 x 1 = 1

LCM(803,3338) = ( 803 × 3338 ) / 1

LCM(803,3338) = 2680414 / 1

LCM(803,3338) = 2680414


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 7614/803, 2496/3338

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 7614/803, 2496/3338?

Answer: GCF of Numerators as per given numbers 7614/803, 2496/3338 is

GCF of Numerators i.e. for 7614,2496 is 6

LCM of denominators i.e. for 803,3338 is 2680414.

Thus, GCF of Fractions is 6/2680414.Finally, GCF of Fractions for 7614/803, 2496/3338 is 6/2680414.