GCF of 5985/427, 1399/8021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5985/427, 1399/8021 i.e 1/3424967 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5985/427, 1399/8021.
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 5985/427,1399/8021?
Given fractions are 5985/427,1399/8021
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 5985/427,1399/8021, numerators are 5985,1399
Denominators are 427,8021
The GCF of 5985,1399 is 1 .
LCM of 427,8021 is 3424967.
The greatest common factor of 5985/427,1399/8021 = [GCF of 5985,1399]/[LCM of 427,8021]= 1/3424967
Therefore, the GCF of 5985/427,1399/8021 is 1/3424967.
To find the highest common factor of 5985,1399, we have to find the factors of both numbers and list the highest common factor.
The factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985
The factors of 1399 are 1, 1399
The HCF of 5985,1399 is 1.
Lets's calculate GCF of 5985,1399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5985,1399 By Matching Biggest Common Factor Method
Now, list down the factors of 5985
:1,3,5,7,9,15,19,21,35,45,57,63,95,105,133,171,285,315,399,665,855,1197,1995,5985
Now, list down the factors of 1399
:1,1399
Greatest Common Factor
We found the factors 5985,1399 . The biggest common factor number is the GCF number.
So the greatest common factor 5985,1399 is 1.
Lets's calculate LCM of 427,8021
Given numbers has no common factors except 1. So, there LCM is their product i.e 3424967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3424967
Therefore, the GCF of Fractions 5985/427,1399/8021 is 1/3424967
Least Common Multiple of 427,8021 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 427,8021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,8021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,8021) x common factors =1 x 1 = 1
LCM(427,8021) = ( 427 × 8021 ) / 1
LCM(427,8021) = 3424967 / 1
LCM(427,8021) = 3424967
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FAQs on GCF of Fractions of 5985/427, 1399/8021
1. What is the HCF of 5985,1399?
The HCF of 5985,1399 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 5985/427, 1399/8021?
Answer: GCF of Numerators as per given numbers 5985/427, 1399/8021 is
GCF of Numerators i.e. for 5985,1399 is 1
LCM of denominators i.e. for 427,8021 is 3424967.
Thus, GCF of Fractions is 1/3424967.Finally, GCF of Fractions for 5985/427, 1399/8021 is 1/3424967.