GCF of 4430/312, 1085/3619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4430/312, 1085/3619 i.e 5/1129128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4430/312, 1085/3619.
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 4430/312,1085/3619?
Given fractions are 4430/312,1085/3619
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 4430/312,1085/3619, numerators are 4430,1085
Denominators are 312,3619
The GCF of 4430,1085 is 5 .
LCM of 312,3619 is 1129128.
The greatest common factor of 4430/312,1085/3619 = [GCF of 4430,1085]/[LCM of 312,3619]= 5/1129128
Therefore, the GCF of 4430/312,1085/3619 is 5/1129128.
To find the highest common factor of 4430,1085, we have to find the factors of both numbers and list the highest common factor.
The factors of 4430 are 1, 2, 5, 10, 443, 886, 2215, 4430
The factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085
The HCF of 4430,1085 is 5.
Lets's calculate GCF of 4430,1085
| 5 | 4430, 1085 |
| 886, 217 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4430,1085 By Matching Biggest Common Factor Method
Now, list down the factors of 4430
:1,2,5,10,443,886,2215,4430
Now, list down the factors of 1085
:1,5,7,31,35,155,217,1085
Greatest Common Factor
We found the factors 4430,1085 . The biggest common factor number is the GCF number.
So the greatest common factor 4430,1085 is 5.
Lets's calculate LCM of 312,3619
Given numbers has no common factors except 1. So, there LCM is their product i.e 1129128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1129128
Therefore, the GCF of Fractions 4430/312,1085/3619 is 5/1129128
Least Common Multiple of 312,3619 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 312,3619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,3619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,3619) x common factors =1 x 1 = 1
LCM(312,3619) = ( 312 × 3619 ) / 1
LCM(312,3619) = 1129128 / 1
LCM(312,3619) = 1129128
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FAQs on GCF of Fractions of 4430/312, 1085/3619
1. What is the HCF of 4430,1085?
The HCF of 4430,1085 is 5
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 4430/312, 1085/3619?
Answer: GCF of Numerators as per given numbers 4430/312, 1085/3619 is
GCF of Numerators i.e. for 4430,1085 is 5
LCM of denominators i.e. for 312,3619 is 1129128.
Thus, GCF of Fractions is 5/1129128.Finally, GCF of Fractions for 4430/312, 1085/3619 is 5/1129128.