GCF of 66/588, 64/698, 182/537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 66/588, 64/698, 182/537 i.e 2/36732948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/588, 64/698, 182/537.
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 66/588,64/698,182/537?
Given fractions are 66/588,64/698,182/537
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 66/588,64/698,182/537, numerators are 66,64,182
Denominators are 588,698,537
The GCF of 66,64,182 is 2 .
LCM of 588,698,537 is 36732948.
The greatest common factor of 66/588,64/698,182/537 = [GCF of 66,64,182]/[LCM of 588,698,537]= 2/36732948
Therefore, the GCF of 66/588,64/698,182/537 is 2/36732948.
To find the highest common factor of 66,64,182, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 66,64,182 is 2.
Lets's calculate GCF of 66,64,182
| 2 | 66, 64, 182 |
| 33, 32, 91 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 66,64,182 By Matching Biggest Common Factor Method
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 66,64,182 . The biggest common factor number is the GCF number.
So the greatest common factor 66,64,182 is 2.
Lets's calculate LCM of 588,698,537
| 2 | 588, 698, 537 |
| 3 | 294, 349, 537 |
| 98, 349, 179 |
∴ So the LCM of the given numbers is 2 x 3 x 98 x 349 x 179 = 36732948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36732948
Therefore, the GCF of Fractions 66/588,64/698,182/537 is 2/36732948
Least Common Multiple of 588,698,537 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 588,698,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,698,537) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(588,698,537) x common factors =1 x 6 = 6
LCM(588,698,537) = ( 588 × 698 × 537 ) / 6
LCM(588,698,537) = 220397688 / 6
LCM(588,698,537) = 36732948
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FAQs on GCF of Fractions of 66/588, 64/698, 182/537
1. What is the HCF of 66,64,182?
The HCF of 66,64,182 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 66/588, 64/698, 182/537?
Answer: GCF of Numerators as per given numbers 66/588, 64/698, 182/537 is
GCF of Numerators i.e. for 66,64,182 is 2
LCM of denominators i.e. for 588,698,537 is 36732948.
Thus, GCF of Fractions is 2/36732948.Finally, GCF of Fractions for 66/588, 64/698, 182/537 is 2/36732948.