GCF of 62/19, 44/944, 423/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/19, 44/944, 423/672 i.e 1/753312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/19, 44/944, 423/672.
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 62/19,44/944,423/672?
Given fractions are 62/19,44/944,423/672
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 62/19,44/944,423/672, numerators are 62,44,423
Denominators are 19,944,672
The GCF of 62,44,423 is 1 .
LCM of 19,944,672 is 753312.
The greatest common factor of 62/19,44/944,423/672 = [GCF of 62,44,423]/[LCM of 19,944,672]= 1/753312
Therefore, the GCF of 62/19,44/944,423/672 is 1/753312.
To find the highest common factor of 62,44,423, 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 44 are 1, 2, 4, 11, 22, 44
The factors of 423 are 1, 3, 9, 47, 141, 423
The HCF of 62,44,423 is 1.
Lets's calculate GCF of 62,44,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,44,423 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 423
:1,3,9,47,141,423
Greatest Common Factor
We found the factors 62,44,423 . The biggest common factor number is the GCF number.
So the greatest common factor 62,44,423 is 1.
Lets's calculate LCM of 19,944,672
| 2 | 19, 944, 672 |
| 2 | 19, 472, 336 |
| 2 | 19, 236, 168 |
| 2 | 19, 118, 84 |
| 19, 59, 42 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 59 x 42 = 753312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753312
Therefore, the GCF of Fractions 62/19,44/944,423/672 is 1/753312
Least Common Multiple of 19,944,672 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 19,944,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,944,672) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(19,944,672) x common factors =1 x 16 = 16
LCM(19,944,672) = ( 19 × 944 × 672 ) / 16
LCM(19,944,672) = 12052992 / 16
LCM(19,944,672) = 753312
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 62/19, 44/944, 423/672
1. What is the HCF of 62,44,423?
The HCF of 62,44,423 is 1
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 62/19, 44/944, 423/672?
Answer: GCF of Numerators as per given numbers 62/19, 44/944, 423/672 is
GCF of Numerators i.e. for 62,44,423 is 1
LCM of denominators i.e. for 19,944,672 is 753312.
Thus, GCF of Fractions is 1/753312.Finally, GCF of Fractions for 62/19, 44/944, 423/672 is 1/753312.