GCF of 62/34, 72/34, 644/133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/34, 72/34, 644/133 i.e 2/4522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/34, 72/34, 644/133.
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 62/34,72/34,644/133?
Given fractions are 62/34,72/34,644/133
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 62/34,72/34,644/133, numerators are 62,72,644
Denominators are 34,34,133
The GCF of 62,72,644 is 2 .
LCM of 34,34,133 is 4522.
The greatest common factor of 62/34,72/34,644/133 = [GCF of 62,72,644]/[LCM of 34,34,133]= 2/4522
Therefore, the GCF of 62/34,72/34,644/133 is 2/4522.
To find the highest common factor of 62,72,644, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The HCF of 62,72,644 is 2.
Lets's calculate GCF of 62,72,644
| 2 | 62, 72, 644 |
| 31, 36, 322 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 62,72,644 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 644
:1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 62,72,644 . The biggest common factor number is the GCF number.
So the greatest common factor 62,72,644 is 2.
Lets's calculate LCM of 34,34,133
| 2 | 34, 34, 133 |
| 17 | 17, 17, 133 |
| 1, 1, 133 |
∴ So the LCM of the given numbers is 2 x 17 x 1 x 1 x 133 = 4522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4522
Therefore, the GCF of Fractions 62/34,72/34,644/133 is 2/4522
Least Common Multiple of 34,34,133 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 34,34,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,34,133) = 1
common factors(in case of two or more numbers have common factors) = 34
GCF(34,34,133) x common factors =1 x 34 = 34
LCM(34,34,133) = ( 34 × 34 × 133 ) / 34
LCM(34,34,133) = 153748 / 34
LCM(34,34,133) = 4522
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FAQs on GCF of Fractions of 62/34, 72/34, 644/133
1. What is the HCF of 62,72,644?
The HCF of 62,72,644 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 62/34, 72/34, 644/133?
Answer: GCF of Numerators as per given numbers 62/34, 72/34, 644/133 is
GCF of Numerators i.e. for 62,72,644 is 2
LCM of denominators i.e. for 34,34,133 is 4522.
Thus, GCF of Fractions is 2/4522.Finally, GCF of Fractions for 62/34, 72/34, 644/133 is 2/4522.