GCF of 446/19, 588/42, 265/78
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 446/19, 588/42, 265/78 i.e 1/10374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/19, 588/42, 265/78.
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 446/19,588/42,265/78?
Given fractions are 446/19,588/42,265/78
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 446/19,588/42,265/78, numerators are 446,588,265
Denominators are 19,42,78
The GCF of 446,588,265 is 1 .
LCM of 19,42,78 is 10374.
The greatest common factor of 446/19,588/42,265/78 = [GCF of 446,588,265]/[LCM of 19,42,78]= 1/10374
Therefore, the GCF of 446/19,588/42,265/78 is 1/10374.
To find the highest common factor of 446,588,265, we have to find the factors of both numbers and list the highest common factor.
The factors of 446 are 1, 2, 223, 446
The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
The factors of 265 are 1, 5, 53, 265
The HCF of 446,588,265 is 1.
Lets's calculate GCF of 446,588,265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 446,588,265 By Matching Biggest Common Factor Method
Now, list down the factors of 446
:1,2,223,446
Now, list down the factors of 588
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Now, list down the factors of 265
:1,5,53,265
Greatest Common Factor
We found the factors 446,588,265 . The biggest common factor number is the GCF number.
So the greatest common factor 446,588,265 is 1.
Lets's calculate LCM of 19,42,78
| 2 | 19, 42, 78 |
| 3 | 19, 21, 39 |
| 19, 7, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 13 = 10374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10374
Therefore, the GCF of Fractions 446/19,588/42,265/78 is 1/10374
Least Common Multiple of 19,42,78 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 19,42,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,42,78) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(19,42,78) x common factors =1 x 6 = 6
LCM(19,42,78) = ( 19 × 42 × 78 ) / 6
LCM(19,42,78) = 62244 / 6
LCM(19,42,78) = 10374
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FAQs on GCF of Fractions of 446/19, 588/42, 265/78
1. What is the HCF of 446,588,265?
The HCF of 446,588,265 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 446/19, 588/42, 265/78?
Answer: GCF of Numerators as per given numbers 446/19, 588/42, 265/78 is
GCF of Numerators i.e. for 446,588,265 is 1
LCM of denominators i.e. for 19,42,78 is 10374.
Thus, GCF of Fractions is 1/10374.Finally, GCF of Fractions for 446/19, 588/42, 265/78 is 1/10374.