Greatest Common Factor of 8290/17, 3374/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8290/17, 3374/503

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 8290/17,3374/503

Given fractions are 8290/17,3374/503

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 8290,3374

Greatest Common Factor of Numerators i.e. GCF of 8290,3374 is 2 .

LCM of Denominators means LCM of 17,503 as per the given fractions.

LCM of 17,503 is 8551 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8290,3374

GCF of Fractions 8290/17,3374/503 is 2/8551

2 8290, 3374
4145, 1687

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

Greatest Common Factor of 8290,3374 By Matching Biggest Common Factor Method

Greatest Common Factor of 8290,3374 By Matching Biggest Common Factor Method

Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1,2,5,10,829,1658,4145,8290

Factors of 3374

List of positive integer factors of 3374 that divides 3374 without a remainder.

1,2,7,14,241,482,1687,3374

Greatest Common Factor

We found the factors 8290,3374 . The biggest common factor number is the GCF number.
So the greatest common factor 8290,3374 is 2.

Lets's calculate LCM of 17,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 8551

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8551

Therefore, the GCF of Fractions 8290/17,3374/503 is 2/8551

Least Common Multiple of 17,503 with GCF Formula

Least Common Multiple of 17,503 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 17,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,503) = 1

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

GCF(17,503) x common factors =1 x 1 = 1

LCM(17,503) = ( 17 × 503 ) / 1

LCM(17,503) = 8551 / 1

LCM(17,503) = 8551


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 8290/17, 3374/503

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 8290/17, 3374/503?

Answer: GCF of Numerators as per given numbers 8290/17, 3374/503 is

GCF of Numerators i.e. for 8290,3374 is 2

LCM of denominators i.e. for 17,503 is 8551.

Thus, GCF of Fractions is 2/8551.Finally, GCF of Fractions for 8290/17, 3374/503 is 2/8551.