How to Find GCF of 156/444, 900/952?

GCF of 156/444, 900/952

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 156/444, 900/952 i.e 12/105672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/444, 900/952.

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 156/444,900/952?

Given fractions are 156/444,900/952

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 156/444,900/952, numerators are 156,900

Denominators are 444,952

The GCF of 156,900 is 12 .

LCM of 444,952 is 105672.

The greatest common factor of 156/444,900/952 = [GCF of 156,900]/[LCM of 444,952]= 12/105672

Therefore, the GCF of 156/444,900/952 is 12/105672.

Greatest Common Factor of 156,900

To find the highest common factor of 156,900, we have to find the factors of both numbers and list the highest common factor.

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The HCF of 156,900 is 12.

Lets's calculate GCF of 156,900

Greatest Common Factor (GCF) of 156,900 By Common Division

2	156, 900
2	78, 450
3	39, 225
	13, 75

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 156,900 By Matching Biggest Common Factor Method

Now, list down the factors of 156

1,2,3,4,6,12,13,26,39,52,78,156

Now, list down the factors of 900

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 156,900 . The biggest common factor number is the GCF number.
So the greatest common factor 156,900 is 12.

Lets's calculate LCM of 444,952

Lowest Common Multiple of 444,952 using Common Division

2	444, 952
2	222, 476
	111, 238

∴ So the LCM of the given numbers is 2 x 2 x 111 x 238 = 105672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/105672

Therefore, the GCF of Fractions 156/444,900/952 is 12/105672

Least Common Multiple of 444,952 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 444,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,952) = 4

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

GCF(444,952) x common factors =4 x 1 = 4

LCM(444,952) = ( 444 × 952 ) / 4

LCM(444,952) = 422688 / 4

LCM(444,952) = 105672

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 156/444, 900/952

1. What is the HCF of 156,900?

The HCF of 156,900 is 12

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 156/444, 900/952?

Answer: GCF of Numerators as per given numbers 156/444, 900/952 is

GCF of Numerators i.e. for 156,900 is 12

LCM of denominators i.e. for 444,952 is 105672.

Thus, GCF of Fractions is 12/105672.Finally, GCF of Fractions for 156/444, 900/952 is 12/105672.