Greatest Common Factor of 3248/80, 6503/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3248/80, 6503/458

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 3248/80,6503/458

Given fractions are 3248/80,6503/458

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 3248,6503

Greatest Common Factor of Numerators i.e. GCF of 3248,6503 is 7 .

LCM of Denominators means LCM of 80,458 as per the given fractions.

LCM of 80,458 is 18320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3248,6503

GCF of Fractions 3248/80,6503/458 is 7/18320

7 3248, 6503
464, 929

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3248,6503 By Matching Biggest Common Factor Method

Greatest Common Factor of 3248,6503 By Matching Biggest Common Factor Method

Factors of 3248

List of positive integer factors of 3248 that divides 3248 without a remainder.

1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248

Factors of 6503

List of positive integer factors of 6503 that divides 6503 without a remainder.

1,7,929,6503

Greatest Common Factor

We found the factors 3248,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 3248,6503 is 7.

Lets's calculate LCM of 80,458

2 80, 458
40, 229

∴ So the LCM of the given numbers is 2 x 40 x 229 = 18320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/18320

Therefore, the GCF of Fractions 3248/80,6503/458 is 7/18320

Least Common Multiple of 80,458 with GCF Formula

Least Common Multiple of 80,458 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 80,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,458) = 2

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

GCF(80,458) x common factors =2 x 1 = 2

LCM(80,458) = ( 80 × 458 ) / 2

LCM(80,458) = 36640 / 2

LCM(80,458) = 18320


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 3248/80, 6503/458

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 3248/80, 6503/458?

Answer: GCF of Numerators as per given numbers 3248/80, 6503/458 is

GCF of Numerators i.e. for 3248,6503 is 7

LCM of denominators i.e. for 80,458 is 18320.

Thus, GCF of Fractions is 7/18320.Finally, GCF of Fractions for 3248/80, 6503/458 is 7/18320.