GCF of 4446/370, 1258/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4446/370, 1258/438 i.e 2/81030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4446/370, 1258/438.
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 4446/370,1258/438?
Given fractions are 4446/370,1258/438
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 4446/370,1258/438, numerators are 4446,1258
Denominators are 370,438
The GCF of 4446,1258 is 2 .
LCM of 370,438 is 81030.
The greatest common factor of 4446/370,1258/438 = [GCF of 4446,1258]/[LCM of 370,438]= 2/81030
Therefore, the GCF of 4446/370,1258/438 is 2/81030.
To find the highest common factor of 4446,1258, we have to find the factors of both numbers and list the highest common factor.
The factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446
The factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258
The HCF of 4446,1258 is 2.
Lets's calculate GCF of 4446,1258
| 2 | 4446, 1258 |
| 2223, 629 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4446,1258 By Matching Biggest Common Factor Method
Now, list down the factors of 4446
:1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446
Now, list down the factors of 1258
:1,2,17,34,37,74,629,1258
Greatest Common Factor
We found the factors 4446,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 4446,1258 is 2.
Lets's calculate LCM of 370,438
| 2 | 370, 438 |
| 185, 219 |
∴ So the LCM of the given numbers is 2 x 185 x 219 = 81030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81030
Therefore, the GCF of Fractions 4446/370,1258/438 is 2/81030
Least Common Multiple of 370,438 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 370,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,438) x common factors =2 x 1 = 2
LCM(370,438) = ( 370 × 438 ) / 2
LCM(370,438) = 162060 / 2
LCM(370,438) = 81030
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FAQs on GCF of Fractions of 4446/370, 1258/438
1. What is the HCF of 4446,1258?
The HCF of 4446,1258 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 4446/370, 1258/438?
Answer: GCF of Numerators as per given numbers 4446/370, 1258/438 is
GCF of Numerators i.e. for 4446,1258 is 2
LCM of denominators i.e. for 370,438 is 81030.
Thus, GCF of Fractions is 2/81030.Finally, GCF of Fractions for 4446/370, 1258/438 is 2/81030.