Greatest Common Factor of 3465/441, 9677/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3465/441, 9677/708

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 3465/441,9677/708

Given fractions are 3465/441,9677/708

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 3465,9677

Greatest Common Factor of Numerators i.e. GCF of 3465,9677 is 1 .

LCM of Denominators means LCM of 441,708 as per the given fractions.

LCM of 441,708 is 104076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3465,9677

GCF of Fractions 3465/441,9677/708 is 1/104076

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

Greatest Common Factor of 3465,9677 By Matching Biggest Common Factor Method

Greatest Common Factor of 3465,9677 By Matching Biggest Common Factor Method

Factors of 3465

List of positive integer factors of 3465 that divides 3465 without a remainder.

1,3,5,7,9,11,15,21,33,35,45,55,63,77,99,105,165,231,315,385,495,693,1155,3465

Factors of 9677

List of positive integer factors of 9677 that divides 9677 without a remainder.

1,9677

Greatest Common Factor

We found the factors 3465,9677 . The biggest common factor number is the GCF number.
So the greatest common factor 3465,9677 is 1.

Lets's calculate LCM of 441,708

3 441, 708
147, 236

∴ So the LCM of the given numbers is 3 x 147 x 236 = 104076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104076

Therefore, the GCF of Fractions 3465/441,9677/708 is 1/104076

Least Common Multiple of 441,708 with GCF Formula

Least Common Multiple of 441,708 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 441,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,708) = 3

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

GCF(441,708) x common factors =3 x 1 = 3

LCM(441,708) = ( 441 × 708 ) / 3

LCM(441,708) = 312228 / 3

LCM(441,708) = 104076


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 3465/441, 9677/708

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 3465/441, 9677/708?

Answer: GCF of Numerators as per given numbers 3465/441, 9677/708 is

GCF of Numerators i.e. for 3465,9677 is 1

LCM of denominators i.e. for 441,708 is 104076.

Thus, GCF of Fractions is 1/104076.Finally, GCF of Fractions for 3465/441, 9677/708 is 1/104076.