GCF of 4436/115, 1634/4192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4436/115, 1634/4192 i.e 2/482080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4436/115, 1634/4192.
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 4436/115,1634/4192?
Given fractions are 4436/115,1634/4192
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 4436/115,1634/4192, numerators are 4436,1634
Denominators are 115,4192
The GCF of 4436,1634 is 2 .
LCM of 115,4192 is 482080.
The greatest common factor of 4436/115,1634/4192 = [GCF of 4436,1634]/[LCM of 115,4192]= 2/482080
Therefore, the GCF of 4436/115,1634/4192 is 2/482080.
To find the highest common factor of 4436,1634, we have to find the factors of both numbers and list the highest common factor.
The factors of 4436 are 1, 2, 4, 1109, 2218, 4436
The factors of 1634 are 1, 2, 19, 38, 43, 86, 817, 1634
The HCF of 4436,1634 is 2.
Lets's calculate GCF of 4436,1634
| 2 | 4436, 1634 |
| 2218, 817 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4436,1634 By Matching Biggest Common Factor Method
Now, list down the factors of 4436
:1,2,4,1109,2218,4436
Now, list down the factors of 1634
:1,2,19,38,43,86,817,1634
Greatest Common Factor
We found the factors 4436,1634 . The biggest common factor number is the GCF number.
So the greatest common factor 4436,1634 is 2.
Lets's calculate LCM of 115,4192
Given numbers has no common factors except 1. So, there LCM is their product i.e 482080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/482080
Therefore, the GCF of Fractions 4436/115,1634/4192 is 2/482080
Least Common Multiple of 115,4192 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 115,4192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,4192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,4192) x common factors =1 x 1 = 1
LCM(115,4192) = ( 115 × 4192 ) / 1
LCM(115,4192) = 482080 / 1
LCM(115,4192) = 482080
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FAQs on GCF of Fractions of 4436/115, 1634/4192
1. What is the HCF of 4436,1634?
The HCF of 4436,1634 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 4436/115, 1634/4192?
Answer: GCF of Numerators as per given numbers 4436/115, 1634/4192 is
GCF of Numerators i.e. for 4436,1634 is 2
LCM of denominators i.e. for 115,4192 is 482080.
Thus, GCF of Fractions is 2/482080.Finally, GCF of Fractions for 4436/115, 1634/4192 is 2/482080.