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 825/46, 222/3704

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 825/46, 222/3704 i.e 3/85192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/46, 222/3704.

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 825/46,222/3704?

Given fractions are 825/46,222/3704

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 825/46,222/3704, numerators are 825,222

Denominators are 46,3704

The GCF of 825,222 is 3 .

LCM of 46,3704 is 85192.

The greatest common factor of 825/46,222/3704 = [GCF of 825,222]/[LCM of 46,3704]= 3/85192

Therefore, the GCF of 825/46,222/3704 is 3/85192.

Greatest Common Factor of 825,222

To find the highest common factor of 825,222, we have to find the factors of both numbers and list the highest common factor.

The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

The HCF of 825,222 is 3.

Lets's calculate GCF of 825,222

Greatest Common Factor (GCF) of 825,222 By Common Division

3 825, 222
275, 74

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 825,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,222 By Matching Biggest Common Factor Method

Now, list down the factors of 825

:

1,3,5,11,15,25,33,55,75,165,275,825

Now, list down the factors of 222

:

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

Greatest Common Factor

We found the factors 825,222 . The biggest common factor number is the GCF number.
So the greatest common factor 825,222 is 3.

Lets's calculate LCM of 46,3704

Lowest Common Multiple of 46,3704 using Common Division

2 46, 3704
23, 1852

∴ So the LCM of the given numbers is 2 x 23 x 1852 = 85192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/85192

Therefore, the GCF of Fractions 825/46,222/3704 is 3/85192

Least Common Multiple of 46,3704 with GCF Formula

Least Common Multiple of 46,3704 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 46,3704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,3704) = 2

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

GCF(46,3704) x common factors =2 x 1 = 2

LCM(46,3704) = ( 46 × 3704 ) / 2

LCM(46,3704) = 170384 / 2

LCM(46,3704) = 85192


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 825/46, 222/3704

1. What is the HCF of 825,222?

The HCF of 825,222 is 3

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 825/46, 222/3704?

Answer: GCF of Numerators as per given numbers 825/46, 222/3704 is

GCF of Numerators i.e. for 825,222 is 3

LCM of denominators i.e. for 46,3704 is 85192.

Thus, GCF of Fractions is 3/85192.Finally, GCF of Fractions for 825/46, 222/3704 is 3/85192.