GCF of 867/44, 399/1346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/44, 399/1346 i.e 3/29612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/44, 399/1346.
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 867/44,399/1346?
Given fractions are 867/44,399/1346
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 867/44,399/1346, numerators are 867,399
Denominators are 44,1346
The GCF of 867,399 is 3 .
LCM of 44,1346 is 29612.
The greatest common factor of 867/44,399/1346 = [GCF of 867,399]/[LCM of 44,1346]= 3/29612
Therefore, the GCF of 867/44,399/1346 is 3/29612.
To find the highest common factor of 867,399, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399
The HCF of 867,399 is 3.
Lets's calculate GCF of 867,399
| 3 | 867, 399 |
| 289, 133 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 867,399 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 867,399 . The biggest common factor number is the GCF number.
So the greatest common factor 867,399 is 3.
Lets's calculate LCM of 44,1346
| 2 | 44, 1346 |
| 22, 673 |
∴ So the LCM of the given numbers is 2 x 22 x 673 = 29612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29612
Therefore, the GCF of Fractions 867/44,399/1346 is 3/29612
Least Common Multiple of 44,1346 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 44,1346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,1346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,1346) x common factors =2 x 1 = 2
LCM(44,1346) = ( 44 × 1346 ) / 2
LCM(44,1346) = 59224 / 2
LCM(44,1346) = 29612
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FAQs on GCF of Fractions of 867/44, 399/1346
1. What is the HCF of 867,399?
The HCF of 867,399 is 3
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 867/44, 399/1346?
Answer: GCF of Numerators as per given numbers 867/44, 399/1346 is
GCF of Numerators i.e. for 867,399 is 3
LCM of denominators i.e. for 44,1346 is 29612.
Thus, GCF of Fractions is 3/29612.Finally, GCF of Fractions for 867/44, 399/1346 is 3/29612.