Greatest Common Factor of 67/87, 406/61, 993/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/87, 406/61, 993/297

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 67/87,406/61,993/297

Given fractions are 67/87,406/61,993/297

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 67,406,993

Greatest Common Factor of Numerators i.e. GCF of 67,406,993 is 1 .

LCM of Denominators means LCM of 87,61,297 as per the given fractions.

LCM of 87,61,297 is 525393 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,406,993

GCF of Fractions 67/87,406/61,993/297 is 1/525393

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

Greatest Common Factor of 67,406,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,406,993 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 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 67,406,993 . The biggest common factor number is the GCF number.
So the greatest common factor 67,406,993 is 1.

Lets's calculate LCM of 87,61,297

3 87, 61, 297
29, 61, 99

∴ So the LCM of the given numbers is 3 x 29 x 61 x 99 = 525393

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/525393

Therefore, the GCF of Fractions 67/87,406/61,993/297 is 1/525393

Least Common Multiple of 87,61,297 with GCF Formula

Least Common Multiple of 87,61,297 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 87,61,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,61,297) = 1

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

GCF(87,61,297) x common factors =1 x 3 = 3

LCM(87,61,297) = ( 87 × 61 × 297 ) / 3

LCM(87,61,297) = 1576179 / 3

LCM(87,61,297) = 525393


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 67/87, 406/61, 993/297

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 67/87, 406/61, 993/297?

Answer: GCF of Numerators as per given numbers 67/87, 406/61, 993/297 is

GCF of Numerators i.e. for 67,406,993 is 1

LCM of denominators i.e. for 87,61,297 is 525393.

Thus, GCF of Fractions is 1/525393.Finally, GCF of Fractions for 67/87, 406/61, 993/297 is 1/525393.