How to Find GCF of 520/606, 152/744?

GCF of 520/606, 152/744

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 520/606, 152/744 i.e 8/75144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/606, 152/744.

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 520/606,152/744?

Given fractions are 520/606,152/744

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 520/606,152/744, numerators are 520,152

Denominators are 606,744

The GCF of 520,152 is 8 .

LCM of 606,744 is 75144.

The greatest common factor of 520/606,152/744 = [GCF of 520,152]/[LCM of 606,744]= 8/75144

Therefore, the GCF of 520/606,152/744 is 8/75144.

Greatest Common Factor of 520,152

To find the highest common factor of 520,152, we have to find the factors of both numbers and list the highest common factor.

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152

The HCF of 520,152 is 8.

Lets's calculate GCF of 520,152

Greatest Common Factor (GCF) of 520,152 By Common Division

2	520, 152
2	260, 76
2	130, 38
	65, 19

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

Greatest Common Factor of 520,152 By Matching Biggest Common Factor Method

Now, list down the factors of 520

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Now, list down the factors of 152

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 520,152 . The biggest common factor number is the GCF number.
So the greatest common factor 520,152 is 8.

Lets's calculate LCM of 606,744

Lowest Common Multiple of 606,744 using Common Division

2	606, 744
3	303, 372
	101, 124

∴ So the LCM of the given numbers is 2 x 3 x 101 x 124 = 75144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/75144

Therefore, the GCF of Fractions 520/606,152/744 is 8/75144

Least Common Multiple of 606,744 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 606,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,744) = 6

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

GCF(606,744) x common factors =6 x 1 = 6

LCM(606,744) = ( 606 × 744 ) / 6

LCM(606,744) = 450864 / 6

LCM(606,744) = 75144

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FAQs on GCF of Fractions of 520/606, 152/744

1. What is the HCF of 520,152?

The HCF of 520,152 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 520/606, 152/744?

Answer: GCF of Numerators as per given numbers 520/606, 152/744 is

GCF of Numerators i.e. for 520,152 is 8

LCM of denominators i.e. for 606,744 is 75144.

Thus, GCF of Fractions is 8/75144.Finally, GCF of Fractions for 520/606, 152/744 is 8/75144.