Greatest Common Factor of 67/222, 21/925, 671/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/222, 21/925, 671/375

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 67/222,21/925,671/375

Given fractions are 67/222,21/925,671/375

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 67,21,671

Greatest Common Factor of Numerators i.e. GCF of 67,21,671 is 1 .

LCM of Denominators means LCM of 222,925,375 as per the given fractions.

LCM of 222,925,375 is 27750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,21,671

GCF of Fractions 67/222,21/925,671/375 is 1/27750

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

Greatest Common Factor of 67,21,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,21,671 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 67,21,671 . The biggest common factor number is the GCF number.
So the greatest common factor 67,21,671 is 1.

Lets's calculate LCM of 222,925,375

3 222, 925, 375
5 74, 925, 125
5 74, 185, 25
37 74, 37, 5
2, 1, 5

∴ So the LCM of the given numbers is 3 x 5 x 5 x 37 x 2 x 1 x 5 = 27750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27750

Therefore, the GCF of Fractions 67/222,21/925,671/375 is 1/27750

Least Common Multiple of 222,925,375 with GCF Formula

Least Common Multiple of 222,925,375 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 222,925,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,925,375) = 1

common factors(in case of two or more numbers have common factors) = 2775

GCF(222,925,375) x common factors =1 x 2775 = 2775

LCM(222,925,375) = ( 222 × 925 × 375 ) / 2775

LCM(222,925,375) = 77006250 / 2775

LCM(222,925,375) = 27750


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 67/222, 21/925, 671/375

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 67/222, 21/925, 671/375?

Answer: GCF of Numerators as per given numbers 67/222, 21/925, 671/375 is

GCF of Numerators i.e. for 67,21,671 is 1

LCM of denominators i.e. for 222,925,375 is 27750.

Thus, GCF of Fractions is 1/27750.Finally, GCF of Fractions for 67/222, 21/925, 671/375 is 1/27750.