Greatest Common Factor of 449/814, 1077/3414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 449/814, 1077/3414

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 449/814,1077/3414

Given fractions are 449/814,1077/3414

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 449,1077

Greatest Common Factor of Numerators i.e. GCF of 449,1077 is 1 .

LCM of Denominators means LCM of 814,3414 as per the given fractions.

LCM of 814,3414 is 1389498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 449,1077

GCF of Fractions 449/814,1077/3414 is 1/1389498

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

Greatest Common Factor of 449,1077 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,1077 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 1077

List of positive integer factors of 1077 that divides 1077 without a remainder.

1,3,359,1077

Greatest Common Factor

We found the factors 449,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 449,1077 is 1.

Lets's calculate LCM of 814,3414

2 814, 3414
407, 1707

∴ So the LCM of the given numbers is 2 x 407 x 1707 = 1389498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1389498

Therefore, the GCF of Fractions 449/814,1077/3414 is 1/1389498

Least Common Multiple of 814,3414 with GCF Formula

Least Common Multiple of 814,3414 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 814,3414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,3414) = 2

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

GCF(814,3414) x common factors =2 x 1 = 2

LCM(814,3414) = ( 814 × 3414 ) / 2

LCM(814,3414) = 2778996 / 2

LCM(814,3414) = 1389498


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 449/814, 1077/3414

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 449/814, 1077/3414?

Answer: GCF of Numerators as per given numbers 449/814, 1077/3414 is

GCF of Numerators i.e. for 449,1077 is 1

LCM of denominators i.e. for 814,3414 is 1389498.

Thus, GCF of Fractions is 1/1389498.Finally, GCF of Fractions for 449/814, 1077/3414 is 1/1389498.