How to Find GCF of 104/47, 120/375?

GCF of 104/47, 120/375

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 104/47, 120/375 i.e 8/17625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 104/47, 120/375.

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 104/47,120/375?

Given fractions are 104/47,120/375

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 104/47,120/375, numerators are 104,120

Denominators are 47,375

The GCF of 104,120 is 8 .

LCM of 47,375 is 17625.

The greatest common factor of 104/47,120/375 = [GCF of 104,120]/[LCM of 47,375]= 8/17625

Therefore, the GCF of 104/47,120/375 is 8/17625.

Greatest Common Factor of 104,120

To find the highest common factor of 104,120, we have to find the factors of both numbers and list the highest common factor.

The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104

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

The HCF of 104,120 is 8.

Lets's calculate GCF of 104,120

Greatest Common Factor (GCF) of 104,120 By Common Division

2	104, 120
2	52, 60
2	26, 30
	13, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 104,120 By Matching Biggest Common Factor Method

Now, list down the factors of 104

1,2,4,8,13,26,52,104

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 104,120 . The biggest common factor number is the GCF number.
So the greatest common factor 104,120 is 8.

Lets's calculate LCM of 47,375

Lowest Common Multiple of 47,375 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/17625

Therefore, the GCF of Fractions 104/47,120/375 is 8/17625

Least Common Multiple of 47,375 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 47,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,375) = 1

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

GCF(47,375) x common factors =1 x 1 = 1

LCM(47,375) = ( 47 × 375 ) / 1

LCM(47,375) = 17625 / 1

LCM(47,375) = 17625

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FAQs on GCF of Fractions of 104/47, 120/375

1. What is the HCF of 104,120?

The HCF of 104,120 is 8

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 104/47, 120/375?

Answer: GCF of Numerators as per given numbers 104/47, 120/375 is

GCF of Numerators i.e. for 104,120 is 8

LCM of denominators i.e. for 47,375 is 17625.

Thus, GCF of Fractions is 8/17625.Finally, GCF of Fractions for 104/47, 120/375 is 8/17625.