How to Find GCF of 1520/979, 5308/736?

GCF of 1520/979, 5308/736

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 1520/979, 5308/736 i.e 4/720544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1520/979, 5308/736.

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 1520/979,5308/736?

Given fractions are 1520/979,5308/736

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 1520/979,5308/736, numerators are 1520,5308

Denominators are 979,736

The GCF of 1520,5308 is 4 .

LCM of 979,736 is 720544.

The greatest common factor of 1520/979,5308/736 = [GCF of 1520,5308]/[LCM of 979,736]= 4/720544

Therefore, the GCF of 1520/979,5308/736 is 4/720544.

Greatest Common Factor of 1520,5308

To find the highest common factor of 1520,5308, we have to find the factors of both numbers and list the highest common factor.

The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520

The factors of 5308 are 1, 2, 4, 1327, 2654, 5308

The HCF of 1520,5308 is 4.

Lets's calculate GCF of 1520,5308

Greatest Common Factor (GCF) of 1520,5308 By Common Division

2	1520, 5308
2	760, 2654
	380, 1327

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

Greatest Common Factor of 1520,5308 By Matching Biggest Common Factor Method

Now, list down the factors of 1520

1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520

Now, list down the factors of 5308

1,2,4,1327,2654,5308

Greatest Common Factor

We found the factors 1520,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 1520,5308 is 4.

Lets's calculate LCM of 979,736

Lowest Common Multiple of 979,736 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 720544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/720544

Therefore, the GCF of Fractions 1520/979,5308/736 is 4/720544

Least Common Multiple of 979,736 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 979,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,736) = 1

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

GCF(979,736) x common factors =1 x 1 = 1

LCM(979,736) = ( 979 × 736 ) / 1

LCM(979,736) = 720544 / 1

LCM(979,736) = 720544

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1520/979, 5308/736

1. What is the HCF of 1520,5308?

The HCF of 1520,5308 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 1520/979, 5308/736?

Answer: GCF of Numerators as per given numbers 1520/979, 5308/736 is

GCF of Numerators i.e. for 1520,5308 is 4

LCM of denominators i.e. for 979,736 is 720544.

Thus, GCF of Fractions is 4/720544.Finally, GCF of Fractions for 1520/979, 5308/736 is 4/720544.