Greatest Common Factor of 407/61, 550/74, 817/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/61, 550/74, 817/574

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 407/61,550/74,817/574

Given fractions are 407/61,550/74,817/574

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 407,550,817

Greatest Common Factor of Numerators i.e. GCF of 407,550,817 is 1 .

LCM of Denominators means LCM of 61,74,574 as per the given fractions.

LCM of 61,74,574 is 1295518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,550,817

GCF of Fractions 407/61,550/74,817/574 is 1/1295518

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

Greatest Common Factor of 407,550,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,550,817 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 407,550,817 . The biggest common factor number is the GCF number.
So the greatest common factor 407,550,817 is 1.

Lets's calculate LCM of 61,74,574

2 61, 74, 574
61, 37, 287

∴ So the LCM of the given numbers is 2 x 61 x 37 x 287 = 1295518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1295518

Therefore, the GCF of Fractions 407/61,550/74,817/574 is 1/1295518

Least Common Multiple of 61,74,574 with GCF Formula

Least Common Multiple of 61,74,574 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 61,74,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,74,574) = 1

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

GCF(61,74,574) x common factors =1 x 2 = 2

LCM(61,74,574) = ( 61 × 74 × 574 ) / 2

LCM(61,74,574) = 2591036 / 2

LCM(61,74,574) = 1295518


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 407/61, 550/74, 817/574

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 407/61, 550/74, 817/574?

Answer: GCF of Numerators as per given numbers 407/61, 550/74, 817/574 is

GCF of Numerators i.e. for 407,550,817 is 1

LCM of denominators i.e. for 61,74,574 is 1295518.

Thus, GCF of Fractions is 1/1295518.Finally, GCF of Fractions for 407/61, 550/74, 817/574 is 1/1295518.