LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 222/150, 774/682

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 222/150, 774/682 i.e 6/51150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 222/150, 774/682.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 222/150,774/682?

Given fractions are 222/150,774/682

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 222/150,774/682, numerators are 222,774

Denominators are 150,682

The GCF of 222,774 is 6 .

LCM of 150,682 is 51150.

The greatest common factor of 222/150,774/682 = [GCF of 222,774]/[LCM of 150,682]= 6/51150

Therefore, the GCF of 222/150,774/682 is 6/51150.

Greatest Common Factor of 222,774

To find the highest common factor of 222,774, we have to find the factors of both numbers and list the highest common factor.

The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222

The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

The HCF of 222,774 is 6.

Lets's calculate GCF of 222,774

Greatest Common Factor (GCF) of 222,774 By Common Division

2 222, 774
3 111, 387
37, 129

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 222,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,774 By Matching Biggest Common Factor Method

Now, list down the factors of 222

:

1,2,3,6,37,74,111,222

Now, list down the factors of 774

:

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 222,774 . The biggest common factor number is the GCF number.
So the greatest common factor 222,774 is 6.

Lets's calculate LCM of 150,682

Lowest Common Multiple of 150,682 using Common Division

2 150, 682
75, 341

∴ So the LCM of the given numbers is 2 x 75 x 341 = 51150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/51150

Therefore, the GCF of Fractions 222/150,774/682 is 6/51150

Least Common Multiple of 150,682 with GCF Formula

Least Common Multiple of 150,682 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 150,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,682) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(150,682) x common factors =2 x 1 = 2

LCM(150,682) = ( 150 × 682 ) / 2

LCM(150,682) = 102300 / 2

LCM(150,682) = 51150


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 222/150, 774/682

1. What is the HCF of 222,774?

The HCF of 222,774 is 6

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 222/150, 774/682?

Answer: GCF of Numerators as per given numbers 222/150, 774/682 is

GCF of Numerators i.e. for 222,774 is 6

LCM of denominators i.e. for 150,682 is 51150.

Thus, GCF of Fractions is 6/51150.Finally, GCF of Fractions for 222/150, 774/682 is 6/51150.