Greatest Common Factor of 67/57, 78/69, 435/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/57, 78/69, 435/222

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 67/57,78/69,435/222

Given fractions are 67/57,78/69,435/222

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 67,78,435

Greatest Common Factor of Numerators i.e. GCF of 67,78,435 is 1 .

LCM of Denominators means LCM of 57,69,222 as per the given fractions.

LCM of 57,69,222 is 97014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,78,435

GCF of Fractions 67/57,78/69,435/222 is 1/97014

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

Greatest Common Factor of 67,78,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,78,435 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 67,78,435 . The biggest common factor number is the GCF number.
So the greatest common factor 67,78,435 is 1.

Lets's calculate LCM of 57,69,222

3 57, 69, 222
19, 23, 74

∴ So the LCM of the given numbers is 3 x 19 x 23 x 74 = 97014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97014

Therefore, the GCF of Fractions 67/57,78/69,435/222 is 1/97014

Least Common Multiple of 57,69,222 with GCF Formula

Least Common Multiple of 57,69,222 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 57,69,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,69,222) = 3

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

GCF(57,69,222) x common factors =3 x 3 = 9

LCM(57,69,222) = ( 57 × 69 × 222 ) / 9

LCM(57,69,222) = 873126 / 9

LCM(57,69,222) = 97014


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 67/57, 78/69, 435/222

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 67/57, 78/69, 435/222?

Answer: GCF of Numerators as per given numbers 67/57, 78/69, 435/222 is

GCF of Numerators i.e. for 67,78,435 is 1

LCM of denominators i.e. for 57,69,222 is 97014.

Thus, GCF of Fractions is 1/97014.Finally, GCF of Fractions for 67/57, 78/69, 435/222 is 1/97014.