Greatest Common Factor of 2217/668, 1485/3814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2217/668, 1485/3814

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 2217/668,1485/3814

Given fractions are 2217/668,1485/3814

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 2217,1485

Greatest Common Factor of Numerators i.e. GCF of 2217,1485 is 3 .

LCM of Denominators means LCM of 668,3814 as per the given fractions.

LCM of 668,3814 is 1273876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2217,1485

GCF of Fractions 2217/668,1485/3814 is 3/1273876

3 2217, 1485
739, 495

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2217,1485 By Matching Biggest Common Factor Method

Greatest Common Factor of 2217,1485 By Matching Biggest Common Factor Method

Factors of 2217

List of positive integer factors of 2217 that divides 2217 without a remainder.

1,3,739,2217

Factors of 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485

Greatest Common Factor

We found the factors 2217,1485 . The biggest common factor number is the GCF number.
So the greatest common factor 2217,1485 is 3.

Lets's calculate LCM of 668,3814

2 668, 3814
334, 1907

∴ So the LCM of the given numbers is 2 x 334 x 1907 = 1273876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1273876

Therefore, the GCF of Fractions 2217/668,1485/3814 is 3/1273876

Least Common Multiple of 668,3814 with GCF Formula

Least Common Multiple of 668,3814 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 668,3814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,3814) = 2

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

GCF(668,3814) x common factors =2 x 1 = 2

LCM(668,3814) = ( 668 × 3814 ) / 2

LCM(668,3814) = 2547752 / 2

LCM(668,3814) = 1273876


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 2217/668, 1485/3814

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 2217/668, 1485/3814?

Answer: GCF of Numerators as per given numbers 2217/668, 1485/3814 is

GCF of Numerators i.e. for 2217,1485 is 3

LCM of denominators i.e. for 668,3814 is 1273876.

Thus, GCF of Fractions is 3/1273876.Finally, GCF of Fractions for 2217/668, 1485/3814 is 3/1273876.