Greatest Common Factor of 517/66, 668/68, 448/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 517/66, 668/68, 448/61

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 517/66,668/68,448/61

Given fractions are 517/66,668/68,448/61

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 517,668,448

Greatest Common Factor of Numerators i.e. GCF of 517,668,448 is 1 .

LCM of Denominators means LCM of 66,68,61 as per the given fractions.

LCM of 66,68,61 is 136884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 517,668,448

GCF of Fractions 517/66,668/68,448/61 is 1/136884

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

Greatest Common Factor of 517,668,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,668,448 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 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 517,668,448 . The biggest common factor number is the GCF number.
So the greatest common factor 517,668,448 is 1.

Lets's calculate LCM of 66,68,61

2 66, 68, 61
33, 34, 61

∴ So the LCM of the given numbers is 2 x 33 x 34 x 61 = 136884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136884

Therefore, the GCF of Fractions 517/66,668/68,448/61 is 1/136884

Least Common Multiple of 66,68,61 with GCF Formula

Least Common Multiple of 66,68,61 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 66,68,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,68,61) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,68,61) x common factors =1 x 2 = 2

LCM(66,68,61) = ( 66 × 68 × 61 ) / 2

LCM(66,68,61) = 273768 / 2

LCM(66,68,61) = 136884


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 517/66, 668/68, 448/61

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 517/66, 668/68, 448/61?

Answer: GCF of Numerators as per given numbers 517/66, 668/68, 448/61 is

GCF of Numerators i.e. for 517,668,448 is 1

LCM of denominators i.e. for 66,68,61 is 136884.

Thus, GCF of Fractions is 1/136884.Finally, GCF of Fractions for 517/66, 668/68, 448/61 is 1/136884.