GCF of 5989/314, 4104/4337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5989/314, 4104/4337 i.e 1/1361818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5989/314, 4104/4337.
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 5989/314,4104/4337?
Given fractions are 5989/314,4104/4337
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 5989/314,4104/4337, numerators are 5989,4104
Denominators are 314,4337
The GCF of 5989,4104 is 1 .
LCM of 314,4337 is 1361818.
The greatest common factor of 5989/314,4104/4337 = [GCF of 5989,4104]/[LCM of 314,4337]= 1/1361818
Therefore, the GCF of 5989/314,4104/4337 is 1/1361818.
To find the highest common factor of 5989,4104, we have to find the factors of both numbers and list the highest common factor.
The factors of 5989 are 1, 53, 113, 5989
The factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104
The HCF of 5989,4104 is 1.
Lets's calculate GCF of 5989,4104
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5989,4104 By Matching Biggest Common Factor Method
Now, list down the factors of 5989
:1,53,113,5989
Now, list down the factors of 4104
:1,2,3,4,6,8,9,12,18,19,24,27,36,38,54,57,72,76,108,114,152,171,216,228,342,456,513,684,1026,1368,2052,4104
Greatest Common Factor
We found the factors 5989,4104 . The biggest common factor number is the GCF number.
So the greatest common factor 5989,4104 is 1.
Lets's calculate LCM of 314,4337
Given numbers has no common factors except 1. So, there LCM is their product i.e 1361818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361818
Therefore, the GCF of Fractions 5989/314,4104/4337 is 1/1361818
Least Common Multiple of 314,4337 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 314,4337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,4337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,4337) x common factors =1 x 1 = 1
LCM(314,4337) = ( 314 × 4337 ) / 1
LCM(314,4337) = 1361818 / 1
LCM(314,4337) = 1361818
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FAQs on GCF of Fractions of 5989/314, 4104/4337
1. What is the HCF of 5989,4104?
The HCF of 5989,4104 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 5989/314, 4104/4337?
Answer: GCF of Numerators as per given numbers 5989/314, 4104/4337 is
GCF of Numerators i.e. for 5989,4104 is 1
LCM of denominators i.e. for 314,4337 is 1361818.
Thus, GCF of Fractions is 1/1361818.Finally, GCF of Fractions for 5989/314, 4104/4337 is 1/1361818.