GCF of 5889/584, 7705/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5889/584, 7705/995 i.e 1/581080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5889/584, 7705/995.
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 5889/584,7705/995?
Given fractions are 5889/584,7705/995
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 5889/584,7705/995, numerators are 5889,7705
Denominators are 584,995
The GCF of 5889,7705 is 1 .
LCM of 584,995 is 581080.
The greatest common factor of 5889/584,7705/995 = [GCF of 5889,7705]/[LCM of 584,995]= 1/581080
Therefore, the GCF of 5889/584,7705/995 is 1/581080.
To find the highest common factor of 5889,7705, we have to find the factors of both numbers and list the highest common factor.
The factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889
The factors of 7705 are 1, 5, 23, 67, 115, 335, 1541, 7705
The HCF of 5889,7705 is 1.
Lets's calculate GCF of 5889,7705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5889,7705 By Matching Biggest Common Factor Method
Now, list down the factors of 5889
:1,3,13,39,151,453,1963,5889
Now, list down the factors of 7705
:1,5,23,67,115,335,1541,7705
Greatest Common Factor
We found the factors 5889,7705 . The biggest common factor number is the GCF number.
So the greatest common factor 5889,7705 is 1.
Lets's calculate LCM of 584,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 581080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/581080
Therefore, the GCF of Fractions 5889/584,7705/995 is 1/581080
Least Common Multiple of 584,995 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 584,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,995) x common factors =1 x 1 = 1
LCM(584,995) = ( 584 × 995 ) / 1
LCM(584,995) = 581080 / 1
LCM(584,995) = 581080
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FAQs on GCF of Fractions of 5889/584, 7705/995
1. What is the HCF of 5889,7705?
The HCF of 5889,7705 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 5889/584, 7705/995?
Answer: GCF of Numerators as per given numbers 5889/584, 7705/995 is
GCF of Numerators i.e. for 5889,7705 is 1
LCM of denominators i.e. for 584,995 is 581080.
Thus, GCF of Fractions is 1/581080.Finally, GCF of Fractions for 5889/584, 7705/995 is 1/581080.