Greatest Common Factor of 701/38, 3286/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 701/38, 3286/290

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 701/38,3286/290

Given fractions are 701/38,3286/290

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 701,3286

Greatest Common Factor of Numerators i.e. GCF of 701,3286 is 1 .

LCM of Denominators means LCM of 38,290 as per the given fractions.

LCM of 38,290 is 5510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 701,3286

GCF of Fractions 701/38,3286/290 is 1/5510

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

Greatest Common Factor of 701,3286 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,3286 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 3286

List of positive integer factors of 3286 that divides 3286 without a remainder.

1,2,31,53,62,106,1643,3286

Greatest Common Factor

We found the factors 701,3286 . The biggest common factor number is the GCF number.
So the greatest common factor 701,3286 is 1.

Lets's calculate LCM of 38,290

2 38, 290
19, 145

∴ So the LCM of the given numbers is 2 x 19 x 145 = 5510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5510

Therefore, the GCF of Fractions 701/38,3286/290 is 1/5510

Least Common Multiple of 38,290 with GCF Formula

Least Common Multiple of 38,290 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 38,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,290) = 2

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

GCF(38,290) x common factors =2 x 1 = 2

LCM(38,290) = ( 38 × 290 ) / 2

LCM(38,290) = 11020 / 2

LCM(38,290) = 5510


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 701/38, 3286/290

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 701/38, 3286/290?

Answer: GCF of Numerators as per given numbers 701/38, 3286/290 is

GCF of Numerators i.e. for 701,3286 is 1

LCM of denominators i.e. for 38,290 is 5510.

Thus, GCF of Fractions is 1/5510.Finally, GCF of Fractions for 701/38, 3286/290 is 1/5510.