Greatest Common Factor of 7399/701, 8105/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7399/701, 8105/783

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 7399/701,8105/783

Given fractions are 7399/701,8105/783

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 7399,8105

Greatest Common Factor of Numerators i.e. GCF of 7399,8105 is 1 .

LCM of Denominators means LCM of 701,783 as per the given fractions.

LCM of 701,783 is 548883 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7399,8105

GCF of Fractions 7399/701,8105/783 is 1/548883

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

Greatest Common Factor of 7399,8105 By Matching Biggest Common Factor Method

Greatest Common Factor of 7399,8105 By Matching Biggest Common Factor Method

Factors of 7399

List of positive integer factors of 7399 that divides 7399 without a remainder.

1,7,49,151,1057,7399

Factors of 8105

List of positive integer factors of 8105 that divides 8105 without a remainder.

1,5,1621,8105

Greatest Common Factor

We found the factors 7399,8105 . The biggest common factor number is the GCF number.
So the greatest common factor 7399,8105 is 1.

Lets's calculate LCM of 701,783

Given numbers has no common factors except 1. So, there LCM is their product i.e 548883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548883

Therefore, the GCF of Fractions 7399/701,8105/783 is 1/548883

Least Common Multiple of 701,783 with GCF Formula

Least Common Multiple of 701,783 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 701,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,783) = 1

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

GCF(701,783) x common factors =1 x 1 = 1

LCM(701,783) = ( 701 × 783 ) / 1

LCM(701,783) = 548883 / 1

LCM(701,783) = 548883


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 7399/701, 8105/783

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 7399/701, 8105/783?

Answer: GCF of Numerators as per given numbers 7399/701, 8105/783 is

GCF of Numerators i.e. for 7399,8105 is 1

LCM of denominators i.e. for 701,783 is 548883.

Thus, GCF of Fractions is 1/548883.Finally, GCF of Fractions for 7399/701, 8105/783 is 1/548883.