How to Find GCF of 108/53, 940/3293?

GCF of 108/53, 940/3293

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 108/53, 940/3293 i.e 4/174529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/53, 940/3293.

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 108/53,940/3293?

Given fractions are 108/53,940/3293

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 108/53,940/3293, numerators are 108,940

Denominators are 53,3293

The GCF of 108,940 is 4 .

LCM of 53,3293 is 174529.

The greatest common factor of 108/53,940/3293 = [GCF of 108,940]/[LCM of 53,3293]= 4/174529

Therefore, the GCF of 108/53,940/3293 is 4/174529.

Greatest Common Factor of 108,940

To find the highest common factor of 108,940, we have to find the factors of both numbers and list the highest common factor.

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The HCF of 108,940 is 4.

Lets's calculate GCF of 108,940

Greatest Common Factor (GCF) of 108,940 By Common Division

2	108, 940
2	54, 470
	27, 235

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 108,940 By Matching Biggest Common Factor Method

Now, list down the factors of 108

1,2,3,4,6,9,12,18,27,36,54,108

Now, list down the factors of 940

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 108,940 . The biggest common factor number is the GCF number.
So the greatest common factor 108,940 is 4.

Lets's calculate LCM of 53,3293

Lowest Common Multiple of 53,3293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 174529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/174529

Therefore, the GCF of Fractions 108/53,940/3293 is 4/174529

Least Common Multiple of 53,3293 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 53,3293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,3293) = 1

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

GCF(53,3293) x common factors =1 x 1 = 1

LCM(53,3293) = ( 53 × 3293 ) / 1

LCM(53,3293) = 174529 / 1

LCM(53,3293) = 174529

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FAQs on GCF of Fractions of 108/53, 940/3293

1. What is the HCF of 108,940?

The HCF of 108,940 is 4

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 108/53, 940/3293?

Answer: GCF of Numerators as per given numbers 108/53, 940/3293 is

GCF of Numerators i.e. for 108,940 is 4

LCM of denominators i.e. for 53,3293 is 174529.

Thus, GCF of Fractions is 4/174529.Finally, GCF of Fractions for 108/53, 940/3293 is 4/174529.