Greatest Common Factor of 517/449, 705/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 517/449, 705/715

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 517/449,705/715

Given fractions are 517/449,705/715

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 517,705

Greatest Common Factor of Numerators i.e. GCF of 517,705 is 47 .

LCM of Denominators means LCM of 449,715 as per the given fractions.

LCM of 449,715 is 321035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 517,705

GCF of Fractions 517/449,705/715 is 47/321035

47 517, 705
11, 15

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 517,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,705 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 517,705 . The biggest common factor number is the GCF number.
So the greatest common factor 517,705 is 47.

Lets's calculate LCM of 449,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 321035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/321035

Therefore, the GCF of Fractions 517/449,705/715 is 47/321035

Least Common Multiple of 449,715 with GCF Formula

Least Common Multiple of 449,715 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 449,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,715) = 1

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

GCF(449,715) x common factors =1 x 1 = 1

LCM(449,715) = ( 449 × 715 ) / 1

LCM(449,715) = 321035 / 1

LCM(449,715) = 321035


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 517/449, 705/715

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 517/449, 705/715?

Answer: GCF of Numerators as per given numbers 517/449, 705/715 is

GCF of Numerators i.e. for 517,705 is 47

LCM of denominators i.e. for 449,715 is 321035.

Thus, GCF of Fractions is 47/321035.Finally, GCF of Fractions for 517/449, 705/715 is 47/321035.