How to Find GCF of 4120/523, 1439/7172?

GCF of 4120/523, 1439/7172

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 4120/523, 1439/7172 i.e 1/3750956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4120/523, 1439/7172.

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 4120/523,1439/7172?

Given fractions are 4120/523,1439/7172

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 4120/523,1439/7172, numerators are 4120,1439

Denominators are 523,7172

The GCF of 4120,1439 is 1 .

LCM of 523,7172 is 3750956.

The greatest common factor of 4120/523,1439/7172 = [GCF of 4120,1439]/[LCM of 523,7172]= 1/3750956

Therefore, the GCF of 4120/523,1439/7172 is 1/3750956.

Greatest Common Factor of 4120,1439

To find the highest common factor of 4120,1439, we have to find the factors of both numbers and list the highest common factor.

The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120

The factors of 1439 are 1, 1439

The HCF of 4120,1439 is 1.

Lets's calculate GCF of 4120,1439

Greatest Common Factor (GCF) of 4120,1439 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4120,1439 By Matching Biggest Common Factor Method

Now, list down the factors of 4120

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Now, list down the factors of 1439

1,1439

Greatest Common Factor

We found the factors 4120,1439 . The biggest common factor number is the GCF number.
So the greatest common factor 4120,1439 is 1.

Lets's calculate LCM of 523,7172

Lowest Common Multiple of 523,7172 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3750956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3750956

Therefore, the GCF of Fractions 4120/523,1439/7172 is 1/3750956

Least Common Multiple of 523,7172 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 523,7172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,7172) = 1

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

GCF(523,7172) x common factors =1 x 1 = 1

LCM(523,7172) = ( 523 × 7172 ) / 1

LCM(523,7172) = 3750956 / 1

LCM(523,7172) = 3750956

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4120/523, 1439/7172

1. What is the HCF of 4120,1439?

The HCF of 4120,1439 is 1

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 4120/523, 1439/7172?

Answer: GCF of Numerators as per given numbers 4120/523, 1439/7172 is

GCF of Numerators i.e. for 4120,1439 is 1

LCM of denominators i.e. for 523,7172 is 3750956.

Thus, GCF of Fractions is 1/3750956.Finally, GCF of Fractions for 4120/523, 1439/7172 is 1/3750956.