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GCF of 600/66, 254/706

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 600/66, 254/706 i.e 2/23298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 600/66, 254/706.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 600/66,254/706?

Given fractions are 600/66,254/706

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 600/66,254/706, numerators are 600,254

Denominators are 66,706

The GCF of 600,254 is 2 .

LCM of 66,706 is 23298.

The greatest common factor of 600/66,254/706 = [GCF of 600,254]/[LCM of 66,706]= 2/23298

Therefore, the GCF of 600/66,254/706 is 2/23298.

Greatest Common Factor of 600,254

To find the highest common factor of 600,254, we have to find the factors of both numbers and list the highest common factor.

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 factors of 254 are 1, 2, 127, 254

The HCF of 600,254 is 2.

Lets's calculate GCF of 600,254

Greatest Common Factor (GCF) of 600,254 By Common Division

2 600, 254
300, 127

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

Greatest Common Factor of 600,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,254 By Matching Biggest Common Factor Method

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

Now, list down the factors of 254

:

1,2,127,254

Greatest Common Factor

We found the factors 600,254 . The biggest common factor number is the GCF number.
So the greatest common factor 600,254 is 2.

Lets's calculate LCM of 66,706

Lowest Common Multiple of 66,706 using Common Division

2 66, 706
33, 353

∴ So the LCM of the given numbers is 2 x 33 x 353 = 23298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23298

Therefore, the GCF of Fractions 600/66,254/706 is 2/23298

Least Common Multiple of 66,706 with GCF Formula

Least Common Multiple of 66,706 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 66,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,706) = 2

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

GCF(66,706) x common factors =2 x 1 = 2

LCM(66,706) = ( 66 × 706 ) / 2

LCM(66,706) = 46596 / 2

LCM(66,706) = 23298


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 600/66, 254/706

1. What is the HCF of 600,254?

The HCF of 600,254 is 2

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 600/66, 254/706?

Answer: GCF of Numerators as per given numbers 600/66, 254/706 is

GCF of Numerators i.e. for 600,254 is 2

LCM of denominators i.e. for 66,706 is 23298.

Thus, GCF of Fractions is 2/23298.Finally, GCF of Fractions for 600/66, 254/706 is 2/23298.