GCF of 5665/966, 4029/1583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5665/966, 4029/1583 i.e 1/1529178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5665/966, 4029/1583.
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 5665/966,4029/1583?
Given fractions are 5665/966,4029/1583
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 5665/966,4029/1583, numerators are 5665,4029
Denominators are 966,1583
The GCF of 5665,4029 is 1 .
LCM of 966,1583 is 1529178.
The greatest common factor of 5665/966,4029/1583 = [GCF of 5665,4029]/[LCM of 966,1583]= 1/1529178
Therefore, the GCF of 5665/966,4029/1583 is 1/1529178.
To find the highest common factor of 5665,4029, we have to find the factors of both numbers and list the highest common factor.
The factors of 5665 are 1, 5, 11, 55, 103, 515, 1133, 5665
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The HCF of 5665,4029 is 1.
Lets's calculate GCF of 5665,4029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5665,4029 By Matching Biggest Common Factor Method
Now, list down the factors of 5665
:1,5,11,55,103,515,1133,5665
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Greatest Common Factor
We found the factors 5665,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 5665,4029 is 1.
Lets's calculate LCM of 966,1583
Given numbers has no common factors except 1. So, there LCM is their product i.e 1529178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529178
Therefore, the GCF of Fractions 5665/966,4029/1583 is 1/1529178
Least Common Multiple of 966,1583 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 966,1583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,1583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,1583) x common factors =1 x 1 = 1
LCM(966,1583) = ( 966 × 1583 ) / 1
LCM(966,1583) = 1529178 / 1
LCM(966,1583) = 1529178
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FAQs on GCF of Fractions of 5665/966, 4029/1583
1. What is the HCF of 5665,4029?
The HCF of 5665,4029 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 5665/966, 4029/1583?
Answer: GCF of Numerators as per given numbers 5665/966, 4029/1583 is
GCF of Numerators i.e. for 5665,4029 is 1
LCM of denominators i.e. for 966,1583 is 1529178.
Thus, GCF of Fractions is 1/1529178.Finally, GCF of Fractions for 5665/966, 4029/1583 is 1/1529178.