How to Find GCF of 888/37, 480/622?

GCF of 888/37, 480/622

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 888/37, 480/622 i.e 24/23014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 888/37, 480/622.

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 888/37,480/622?

Given fractions are 888/37,480/622

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 888/37,480/622, numerators are 888,480

Denominators are 37,622

The GCF of 888,480 is 24 .

LCM of 37,622 is 23014.

The greatest common factor of 888/37,480/622 = [GCF of 888,480]/[LCM of 37,622]= 24/23014

Therefore, the GCF of 888/37,480/622 is 24/23014.

Greatest Common Factor of 888,480

To find the highest common factor of 888,480, we have to find the factors of both numbers and list the highest common factor.

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

The HCF of 888,480 is 24.

Lets's calculate GCF of 888,480

Greatest Common Factor (GCF) of 888,480 By Common Division

2	888, 480
2	444, 240
2	222, 120
3	111, 60
	37, 20

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 888,480 By Matching Biggest Common Factor Method

Now, list down the factors of 888

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Now, list down the factors of 480

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 888,480 . The biggest common factor number is the GCF number.
So the greatest common factor 888,480 is 24.

Lets's calculate LCM of 37,622

Lowest Common Multiple of 37,622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/23014

Therefore, the GCF of Fractions 888/37,480/622 is 24/23014

Least Common Multiple of 37,622 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 37,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,622) = 1

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

GCF(37,622) x common factors =1 x 1 = 1

LCM(37,622) = ( 37 × 622 ) / 1

LCM(37,622) = 23014 / 1

LCM(37,622) = 23014

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FAQs on GCF of Fractions of 888/37, 480/622

1. What is the HCF of 888,480?

The HCF of 888,480 is 24

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 888/37, 480/622?

Answer: GCF of Numerators as per given numbers 888/37, 480/622 is

GCF of Numerators i.e. for 888,480 is 24

LCM of denominators i.e. for 37,622 is 23014.

Thus, GCF of Fractions is 24/23014.Finally, GCF of Fractions for 888/37, 480/622 is 24/23014.