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GCF of 879/225, 222/585

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 879/225, 222/585 i.e 3/2925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/225, 222/585.

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 879/225,222/585?

Given fractions are 879/225,222/585

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 879/225,222/585, numerators are 879,222

Denominators are 225,585

The GCF of 879,222 is 3 .

LCM of 225,585 is 2925.

The greatest common factor of 879/225,222/585 = [GCF of 879,222]/[LCM of 225,585]= 3/2925

Therefore, the GCF of 879/225,222/585 is 3/2925.

Greatest Common Factor of 879,222

To find the highest common factor of 879,222, we have to find the factors of both numbers and list the highest common factor.

The factors of 879 are 1, 3, 293, 879

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

The HCF of 879,222 is 3.

Lets's calculate GCF of 879,222

Greatest Common Factor (GCF) of 879,222 By Common Division

3 879, 222
293, 74

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

Greatest Common Factor of 879,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,222 By Matching Biggest Common Factor Method

Now, list down the factors of 879

:

1,3,293,879

Now, list down the factors of 222

:

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

Greatest Common Factor

We found the factors 879,222 . The biggest common factor number is the GCF number.
So the greatest common factor 879,222 is 3.


Lets's calculate LCM of 225,585

Lowest Common Multiple of 225,585 using Common Division

3 225, 585
3 75, 195
5 25, 65
5, 13

∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 13 = 2925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2925

Therefore, the GCF of Fractions 879/225,222/585 is 3/2925

Least Common Multiple of 225,585 with GCF Formula

Least Common Multiple of 225,585 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 225,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,585) = 45

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

GCF(225,585) x common factors =45 x 1 = 45

LCM(225,585) = ( 225 × 585 ) / 45

LCM(225,585) = 131625 / 45

LCM(225,585) = 2925


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 879/225, 222/585

1. What is the HCF of 879,222?

The HCF of 879,222 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 879/225, 222/585?

Answer: GCF of Numerators as per given numbers 879/225, 222/585 is

GCF of Numerators i.e. for 879,222 is 3

LCM of denominators i.e. for 225,585 is 2925.

Thus, GCF of Fractions is 3/2925.Finally, GCF of Fractions for 879/225, 222/585 is 3/2925.