Greatest Common Factor of 1016/414, 1069/7739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1016/414, 1069/7739

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 1016/414,1069/7739

Given fractions are 1016/414,1069/7739

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 1016,1069

Greatest Common Factor of Numerators i.e. GCF of 1016,1069 is 1 .

LCM of Denominators means LCM of 414,7739 as per the given fractions.

LCM of 414,7739 is 3203946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1016,1069

GCF of Fractions 1016/414,1069/7739 is 1/3203946

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

Greatest Common Factor of 1016,1069 By Matching Biggest Common Factor Method

Greatest Common Factor of 1016,1069 By Matching Biggest Common Factor Method

Factors of 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1,2,4,8,127,254,508,1016

Factors of 1069

List of positive integer factors of 1069 that divides 1069 without a remainder.

1,1069

Greatest Common Factor

We found the factors 1016,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 1016,1069 is 1.

Lets's calculate LCM of 414,7739

Given numbers has no common factors except 1. So, there LCM is their product i.e 3203946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3203946

Therefore, the GCF of Fractions 1016/414,1069/7739 is 1/3203946

Least Common Multiple of 414,7739 with GCF Formula

Least Common Multiple of 414,7739 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 414,7739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,7739) = 1

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

GCF(414,7739) x common factors =1 x 1 = 1

LCM(414,7739) = ( 414 × 7739 ) / 1

LCM(414,7739) = 3203946 / 1

LCM(414,7739) = 3203946


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 1016/414, 1069/7739

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 1016/414, 1069/7739?

Answer: GCF of Numerators as per given numbers 1016/414, 1069/7739 is

GCF of Numerators i.e. for 1016,1069 is 1

LCM of denominators i.e. for 414,7739 is 3203946.

Thus, GCF of Fractions is 1/3203946.Finally, GCF of Fractions for 1016/414, 1069/7739 is 1/3203946.