Greatest Common Factor of 67/543, 930/717, 475/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/543, 930/717, 475/490

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 67/543,930/717,475/490

Given fractions are 67/543,930/717,475/490

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 67,930,475

Greatest Common Factor of Numerators i.e. GCF of 67,930,475 is 1 .

LCM of Denominators means LCM of 543,717,490 as per the given fractions.

LCM of 543,717,490 is 63590730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,930,475

GCF of Fractions 67/543,930/717,475/490 is 1/63590730

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

Greatest Common Factor of 67,930,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,930,475 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 67,930,475 . The biggest common factor number is the GCF number.
So the greatest common factor 67,930,475 is 1.

Lets's calculate LCM of 543,717,490

3 543, 717, 490
181, 239, 490

∴ So the LCM of the given numbers is 3 x 181 x 239 x 490 = 63590730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63590730

Therefore, the GCF of Fractions 67/543,930/717,475/490 is 1/63590730

Least Common Multiple of 543,717,490 with GCF Formula

Least Common Multiple of 543,717,490 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 543,717,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,717,490) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(543,717,490) x common factors =1 x 3 = 3

LCM(543,717,490) = ( 543 × 717 × 490 ) / 3

LCM(543,717,490) = 190772190 / 3

LCM(543,717,490) = 63590730


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 67/543, 930/717, 475/490

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 67/543, 930/717, 475/490?

Answer: GCF of Numerators as per given numbers 67/543, 930/717, 475/490 is

GCF of Numerators i.e. for 67,930,475 is 1

LCM of denominators i.e. for 543,717,490 is 63590730.

Thus, GCF of Fractions is 1/63590730.Finally, GCF of Fractions for 67/543, 930/717, 475/490 is 1/63590730.