How to Find GCF of 936/603, 120/871?

GCF of 936/603, 120/871

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 936/603, 120/871 i.e 24/7839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 936/603, 120/871.

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 936/603,120/871?

Given fractions are 936/603,120/871

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 936/603,120/871, numerators are 936,120

Denominators are 603,871

The GCF of 936,120 is 24 .

LCM of 603,871 is 7839.

The greatest common factor of 936/603,120/871 = [GCF of 936,120]/[LCM of 603,871]= 24/7839

Therefore, the GCF of 936/603,120/871 is 24/7839.

Greatest Common Factor of 936,120

To find the highest common factor of 936,120, we have to find the factors of both numbers and list the highest common factor.

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The HCF of 936,120 is 24.

Lets's calculate GCF of 936,120

Greatest Common Factor (GCF) of 936,120 By Common Division

2	936, 120
2	468, 60
2	234, 30
3	117, 15
	39, 5

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

Greatest Common Factor of 936,120 By Matching Biggest Common Factor Method

Now, list down the factors of 936

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Now, list down the factors of 120

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 936,120 . The biggest common factor number is the GCF number.
So the greatest common factor 936,120 is 24.

Lets's calculate LCM of 603,871

Lowest Common Multiple of 603,871 using Common Division

67	603, 871
	9, 13

∴ So the LCM of the given numbers is 67 x 9 x 13 = 7839

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/7839

Therefore, the GCF of Fractions 936/603,120/871 is 24/7839

Least Common Multiple of 603,871 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 603,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,871) = 67

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

GCF(603,871) x common factors =67 x 1 = 67

LCM(603,871) = ( 603 × 871 ) / 67

LCM(603,871) = 525213 / 67

LCM(603,871) = 7839

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 936/603, 120/871

1. What is the HCF of 936,120?

The HCF of 936,120 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 936/603, 120/871?

Answer: GCF of Numerators as per given numbers 936/603, 120/871 is

GCF of Numerators i.e. for 936,120 is 24

LCM of denominators i.e. for 603,871 is 7839.

Thus, GCF of Fractions is 24/7839.Finally, GCF of Fractions for 936/603, 120/871 is 24/7839.