How to Find GCF of 960/61, 596/8002?

GCF of 960/61, 596/8002

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 960/61, 596/8002 i.e 4/488122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 960/61, 596/8002.

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 960/61,596/8002?

Given fractions are 960/61,596/8002

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 960/61,596/8002, numerators are 960,596

Denominators are 61,8002

The GCF of 960,596 is 4 .

LCM of 61,8002 is 488122.

The greatest common factor of 960/61,596/8002 = [GCF of 960,596]/[LCM of 61,8002]= 4/488122

Therefore, the GCF of 960/61,596/8002 is 4/488122.

Greatest Common Factor of 960,596

To find the highest common factor of 960,596, we have to find the factors of both numbers and list the highest common factor.

The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

The factors of 596 are 1, 2, 4, 149, 298, 596

The HCF of 960,596 is 4.

Lets's calculate GCF of 960,596

Greatest Common Factor (GCF) of 960,596 By Common Division

2	960, 596
2	480, 298
	240, 149

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

Greatest Common Factor of 960,596 By Matching Biggest Common Factor Method

Now, list down the factors of 960

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Now, list down the factors of 596

1,2,4,149,298,596

Greatest Common Factor

We found the factors 960,596 . The biggest common factor number is the GCF number.
So the greatest common factor 960,596 is 4.

Lets's calculate LCM of 61,8002

Lowest Common Multiple of 61,8002 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 488122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/488122

Therefore, the GCF of Fractions 960/61,596/8002 is 4/488122

Least Common Multiple of 61,8002 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 61,8002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,8002) = 1

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

GCF(61,8002) x common factors =1 x 1 = 1

LCM(61,8002) = ( 61 × 8002 ) / 1

LCM(61,8002) = 488122 / 1

LCM(61,8002) = 488122

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FAQs on GCF of Fractions of 960/61, 596/8002

1. What is the HCF of 960,596?

The HCF of 960,596 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 960/61, 596/8002?

Answer: GCF of Numerators as per given numbers 960/61, 596/8002 is

GCF of Numerators i.e. for 960,596 is 4

LCM of denominators i.e. for 61,8002 is 488122.

Thus, GCF of Fractions is 4/488122.Finally, GCF of Fractions for 960/61, 596/8002 is 4/488122.