Greatest Common Factor of 3545/68, 2216/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3545/68, 2216/640

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 3545/68,2216/640

Given fractions are 3545/68,2216/640

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 3545,2216

Greatest Common Factor of Numerators i.e. GCF of 3545,2216 is 1 .

LCM of Denominators means LCM of 68,640 as per the given fractions.

LCM of 68,640 is 10880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3545,2216

GCF of Fractions 3545/68,2216/640 is 1/10880

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3545,2216 By Matching Biggest Common Factor Method

Greatest Common Factor of 3545,2216 By Matching Biggest Common Factor Method

Factors of 3545

List of positive integer factors of 3545 that divides 3545 without a remainder.

1,5,709,3545

Factors of 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1,2,4,8,277,554,1108,2216

Greatest Common Factor

We found the factors 3545,2216 . The biggest common factor number is the GCF number.
So the greatest common factor 3545,2216 is 1.

Lets's calculate LCM of 68,640

2 68, 640
2 34, 320
17, 160

∴ So the LCM of the given numbers is 2 x 2 x 17 x 160 = 10880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10880

Therefore, the GCF of Fractions 3545/68,2216/640 is 1/10880

Least Common Multiple of 68,640 with GCF Formula

Least Common Multiple of 68,640 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 68,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,640) = 4

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

GCF(68,640) x common factors =4 x 1 = 4

LCM(68,640) = ( 68 × 640 ) / 4

LCM(68,640) = 43520 / 4

LCM(68,640) = 10880


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 3545/68, 2216/640

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 3545/68, 2216/640?

Answer: GCF of Numerators as per given numbers 3545/68, 2216/640 is

GCF of Numerators i.e. for 3545,2216 is 1

LCM of denominators i.e. for 68,640 is 10880.

Thus, GCF of Fractions is 1/10880.Finally, GCF of Fractions for 3545/68, 2216/640 is 1/10880.