GCF of 8989/578, 5081/6190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8989/578, 5081/6190 i.e 1/1788910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8989/578, 5081/6190.
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 8989/578,5081/6190?
Given fractions are 8989/578,5081/6190
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 8989/578,5081/6190, numerators are 8989,5081
Denominators are 578,6190
The GCF of 8989,5081 is 1 .
LCM of 578,6190 is 1788910.
The greatest common factor of 8989/578,5081/6190 = [GCF of 8989,5081]/[LCM of 578,6190]= 1/1788910
Therefore, the GCF of 8989/578,5081/6190 is 1/1788910.
To find the highest common factor of 8989,5081, we have to find the factors of both numbers and list the highest common factor.
The factors of 8989 are 1, 89, 101, 8989
The factors of 5081 are 1, 5081
The HCF of 8989,5081 is 1.
Lets's calculate GCF of 8989,5081
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8989,5081 By Matching Biggest Common Factor Method
Now, list down the factors of 8989
:1,89,101,8989
Now, list down the factors of 5081
:1,5081
Greatest Common Factor
We found the factors 8989,5081 . The biggest common factor number is the GCF number.
So the greatest common factor 8989,5081 is 1.
Lets's calculate LCM of 578,6190
| 2 | 578, 6190 |
| 289, 3095 |
∴ So the LCM of the given numbers is 2 x 289 x 3095 = 1788910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788910
Therefore, the GCF of Fractions 8989/578,5081/6190 is 1/1788910
Least Common Multiple of 578,6190 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 578,6190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,6190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,6190) x common factors =2 x 1 = 2
LCM(578,6190) = ( 578 × 6190 ) / 2
LCM(578,6190) = 3577820 / 2
LCM(578,6190) = 1788910
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FAQs on GCF of Fractions of 8989/578, 5081/6190
1. What is the HCF of 8989,5081?
The HCF of 8989,5081 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 8989/578, 5081/6190?
Answer: GCF of Numerators as per given numbers 8989/578, 5081/6190 is
GCF of Numerators i.e. for 8989,5081 is 1
LCM of denominators i.e. for 578,6190 is 1788910.
Thus, GCF of Fractions is 1/1788910.Finally, GCF of Fractions for 8989/578, 5081/6190 is 1/1788910.