How to Find GCF of 504/31, 222/792?

GCF of 504/31, 222/792

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 504/31, 222/792 i.e 6/24552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/31, 222/792.

Enter two or more fractions separated by "commas"

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

What is the GCF of 504/31,222/792?

Given fractions are 504/31,222/792

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 504/31,222/792, numerators are 504,222

Denominators are 31,792

The GCF of 504,222 is 6 .

LCM of 31,792 is 24552.

The greatest common factor of 504/31,222/792 = [GCF of 504,222]/[LCM of 31,792]= 6/24552

Therefore, the GCF of 504/31,222/792 is 6/24552.

Greatest Common Factor of 504,222

To find the highest common factor of 504,222, we have to find the factors of both numbers and list the highest common factor.

The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

The HCF of 504,222 is 6.

Lets's calculate GCF of 504,222

Greatest Common Factor (GCF) of 504,222 By Common Division

2	504, 222
3	252, 111
	84, 37

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

Greatest Common Factor of 504,222 By Matching Biggest Common Factor Method

Now, list down the factors of 504

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Now, list down the factors of 222

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

Greatest Common Factor

We found the factors 504,222 . The biggest common factor number is the GCF number.
So the greatest common factor 504,222 is 6.

Lets's calculate LCM of 31,792

Lowest Common Multiple of 31,792 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/24552

Therefore, the GCF of Fractions 504/31,222/792 is 6/24552

Least Common Multiple of 31,792 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,792) = 1

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

GCF(31,792) x common factors =1 x 1 = 1

LCM(31,792) = ( 31 × 792 ) / 1

LCM(31,792) = 24552 / 1

LCM(31,792) = 24552

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FAQs on GCF of Fractions of 504/31, 222/792

1. What is the HCF of 504,222?

The HCF of 504,222 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 504/31, 222/792?

Answer: GCF of Numerators as per given numbers 504/31, 222/792 is

GCF of Numerators i.e. for 504,222 is 6

LCM of denominators i.e. for 31,792 is 24552.

Thus, GCF of Fractions is 6/24552.Finally, GCF of Fractions for 504/31, 222/792 is 6/24552.