GCF of 5989/440, 8434/662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5989/440, 8434/662 i.e 1/145640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5989/440, 8434/662.
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 5989/440,8434/662?
Given fractions are 5989/440,8434/662
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 5989/440,8434/662, numerators are 5989,8434
Denominators are 440,662
The GCF of 5989,8434 is 1 .
LCM of 440,662 is 145640.
The greatest common factor of 5989/440,8434/662 = [GCF of 5989,8434]/[LCM of 440,662]= 1/145640
Therefore, the GCF of 5989/440,8434/662 is 1/145640.
To find the highest common factor of 5989,8434, 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 8434 are 1, 2, 4217, 8434
The HCF of 5989,8434 is 1.
Lets's calculate GCF of 5989,8434
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5989,8434 By Matching Biggest Common Factor Method
Now, list down the factors of 5989
:1,53,113,5989
Now, list down the factors of 8434
:1,2,4217,8434
Greatest Common Factor
We found the factors 5989,8434 . The biggest common factor number is the GCF number.
So the greatest common factor 5989,8434 is 1.
Lets's calculate LCM of 440,662
| 2 | 440, 662 |
| 220, 331 |
∴ So the LCM of the given numbers is 2 x 220 x 331 = 145640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145640
Therefore, the GCF of Fractions 5989/440,8434/662 is 1/145640
Least Common Multiple of 440,662 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 440,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(440,662) x common factors =2 x 1 = 2
LCM(440,662) = ( 440 × 662 ) / 2
LCM(440,662) = 291280 / 2
LCM(440,662) = 145640
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FAQs on GCF of Fractions of 5989/440, 8434/662
1. What is the HCF of 5989,8434?
The HCF of 5989,8434 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 5989/440, 8434/662?
Answer: GCF of Numerators as per given numbers 5989/440, 8434/662 is
GCF of Numerators i.e. for 5989,8434 is 1
LCM of denominators i.e. for 440,662 is 145640.
Thus, GCF of Fractions is 1/145640.Finally, GCF of Fractions for 5989/440, 8434/662 is 1/145640.