Greatest Common Factor of 3965/700, 7282/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3965/700, 7282/145

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 3965/700,7282/145

Given fractions are 3965/700,7282/145

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 3965,7282

Greatest Common Factor of Numerators i.e. GCF of 3965,7282 is 1 .

LCM of Denominators means LCM of 700,145 as per the given fractions.

LCM of 700,145 is 20300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3965,7282

GCF of Fractions 3965/700,7282/145 is 1/20300

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

Greatest Common Factor of 3965,7282 By Matching Biggest Common Factor Method

Greatest Common Factor of 3965,7282 By Matching Biggest Common Factor Method

Factors of 3965

List of positive integer factors of 3965 that divides 3965 without a remainder.

1,5,13,61,65,305,793,3965

Factors of 7282

List of positive integer factors of 7282 that divides 7282 without a remainder.

1,2,11,22,331,662,3641,7282

Greatest Common Factor

We found the factors 3965,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 3965,7282 is 1.

Lets's calculate LCM of 700,145

5 700, 145
140, 29

∴ So the LCM of the given numbers is 5 x 140 x 29 = 20300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20300

Therefore, the GCF of Fractions 3965/700,7282/145 is 1/20300

Least Common Multiple of 700,145 with GCF Formula

Least Common Multiple of 700,145 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 700,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,145) = 5

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

GCF(700,145) x common factors =5 x 1 = 5

LCM(700,145) = ( 700 × 145 ) / 5

LCM(700,145) = 101500 / 5

LCM(700,145) = 20300


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 3965/700, 7282/145

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 3965/700, 7282/145?

Answer: GCF of Numerators as per given numbers 3965/700, 7282/145 is

GCF of Numerators i.e. for 3965,7282 is 1

LCM of denominators i.e. for 700,145 is 20300.

Thus, GCF of Fractions is 1/20300.Finally, GCF of Fractions for 3965/700, 7282/145 is 1/20300.