How to Find GCF of 606/67, 600/9676?

GCF of 606/67, 600/9676

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 606/67, 600/9676 i.e 6/648292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 606/67, 600/9676.

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 606/67,600/9676?

Given fractions are 606/67,600/9676

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 606/67,600/9676, numerators are 606,600

Denominators are 67,9676

The GCF of 606,600 is 6 .

LCM of 67,9676 is 648292.

The greatest common factor of 606/67,600/9676 = [GCF of 606,600]/[LCM of 67,9676]= 6/648292

Therefore, the GCF of 606/67,600/9676 is 6/648292.

Greatest Common Factor of 606,600

To find the highest common factor of 606,600, we have to find the factors of both numbers and list the highest common factor.

The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

The HCF of 606,600 is 6.

Lets's calculate GCF of 606,600

Greatest Common Factor (GCF) of 606,600 By Common Division

2	606, 600
3	303, 300
	101, 100

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 606,600 By Matching Biggest Common Factor Method

Now, list down the factors of 606

1,2,3,6,101,202,303,606

Now, list down the factors of 600

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 606,600 . The biggest common factor number is the GCF number.
So the greatest common factor 606,600 is 6.

Lets's calculate LCM of 67,9676

Lowest Common Multiple of 67,9676 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 648292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/648292

Therefore, the GCF of Fractions 606/67,600/9676 is 6/648292

Least Common Multiple of 67,9676 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 67,9676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,9676) = 1

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

GCF(67,9676) x common factors =1 x 1 = 1

LCM(67,9676) = ( 67 × 9676 ) / 1

LCM(67,9676) = 648292 / 1

LCM(67,9676) = 648292

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FAQs on GCF of Fractions of 606/67, 600/9676

1. What is the HCF of 606,600?

The HCF of 606,600 is 6

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 606/67, 600/9676?

Answer: GCF of Numerators as per given numbers 606/67, 600/9676 is

GCF of Numerators i.e. for 606,600 is 6

LCM of denominators i.e. for 67,9676 is 648292.

Thus, GCF of Fractions is 6/648292.Finally, GCF of Fractions for 606/67, 600/9676 is 6/648292.