Greatest Common Factor of 5/63, 67/61, 47/786, 569/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/63, 67/61, 47/786, 569/258

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 5/63,67/61,47/786,569/258

Given fractions are 5/63,67/61,47/786,569/258

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 5,67,47,569

Greatest Common Factor of Numerators i.e. GCF of 5,67,47,569 is 1 .

LCM of Denominators means LCM of 63,61,786,258 as per the given fractions.

LCM of 63,61,786,258 is 43295238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,67,47,569

GCF of Fractions 5/63,67/61,47/786,569/258 is 1/43295238

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

Greatest Common Factor of 5,67,47,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,67,47,569 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 67

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

1,67

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 5,67,47,569 . The biggest common factor number is the GCF number.
So the greatest common factor 5,67,47,569 is 1.

Lets's calculate LCM of 63,61,786,258

2 63, 61, 786, 258
3 63, 61, 393, 129
21, 61, 131, 43

∴ So the LCM of the given numbers is 2 x 3 x 21 x 61 x 131 x 43 = 43295238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43295238

Therefore, the GCF of Fractions 5/63,67/61,47/786,569/258 is 1/43295238

Least Common Multiple of 63,61,786,258 with GCF Formula

Least Common Multiple of 63,61,786,258 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 63,61,786,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,61,786,258) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(63,61,786,258) x common factors =1 x 18 = 18

LCM(63,61,786,258) = ( 63 × 61 × 786 × 258 ) / 18

LCM(63,61,786,258) = 779314284 / 18

LCM(63,61,786,258) = 43295238


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 5/63, 67/61, 47/786, 569/258

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 5/63, 67/61, 47/786, 569/258?

Answer: GCF of Numerators as per given numbers 5/63, 67/61, 47/786, 569/258 is

GCF of Numerators i.e. for 5,67,47,569 is 1

LCM of denominators i.e. for 63,61,786,258 is 43295238.

Thus, GCF of Fractions is 1/43295238.Finally, GCF of Fractions for 5/63, 67/61, 47/786, 569/258 is 1/43295238.