Greatest Common Factor of 3214/353, 7769/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3214/353, 7769/827

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 3214/353,7769/827

Given fractions are 3214/353,7769/827

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 3214,7769

Greatest Common Factor of Numerators i.e. GCF of 3214,7769 is 1 .

LCM of Denominators means LCM of 353,827 as per the given fractions.

LCM of 353,827 is 291931 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3214,7769

GCF of Fractions 3214/353,7769/827 is 1/291931

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

Greatest Common Factor of 3214,7769 By Matching Biggest Common Factor Method

Greatest Common Factor of 3214,7769 By Matching Biggest Common Factor Method

Factors of 3214

List of positive integer factors of 3214 that divides 3214 without a remainder.

1,2,1607,3214

Factors of 7769

List of positive integer factors of 7769 that divides 7769 without a remainder.

1,17,457,7769

Greatest Common Factor

We found the factors 3214,7769 . The biggest common factor number is the GCF number.
So the greatest common factor 3214,7769 is 1.

Lets's calculate LCM of 353,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 291931

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291931

Therefore, the GCF of Fractions 3214/353,7769/827 is 1/291931

Least Common Multiple of 353,827 with GCF Formula

Least Common Multiple of 353,827 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 353,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,827) = 1

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

GCF(353,827) x common factors =1 x 1 = 1

LCM(353,827) = ( 353 × 827 ) / 1

LCM(353,827) = 291931 / 1

LCM(353,827) = 291931


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 3214/353, 7769/827

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 3214/353, 7769/827?

Answer: GCF of Numerators as per given numbers 3214/353, 7769/827 is

GCF of Numerators i.e. for 3214,7769 is 1

LCM of denominators i.e. for 353,827 is 291931.

Thus, GCF of Fractions is 1/291931.Finally, GCF of Fractions for 3214/353, 7769/827 is 1/291931.