GCF of 1986/865, 4569/878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1986/865, 4569/878 i.e 3/759470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1986/865, 4569/878.
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 1986/865,4569/878?
Given fractions are 1986/865,4569/878
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 1986/865,4569/878, numerators are 1986,4569
Denominators are 865,878
The GCF of 1986,4569 is 3 .
LCM of 865,878 is 759470.
The greatest common factor of 1986/865,4569/878 = [GCF of 1986,4569]/[LCM of 865,878]= 3/759470
Therefore, the GCF of 1986/865,4569/878 is 3/759470.
To find the highest common factor of 1986,4569, we have to find the factors of both numbers and list the highest common factor.
The factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986
The factors of 4569 are 1, 3, 1523, 4569
The HCF of 1986,4569 is 3.
Lets's calculate GCF of 1986,4569
| 3 | 1986, 4569 |
| 662, 1523 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1986,4569 By Matching Biggest Common Factor Method
Now, list down the factors of 1986
:1,2,3,6,331,662,993,1986
Now, list down the factors of 4569
:1,3,1523,4569
Greatest Common Factor
We found the factors 1986,4569 . The biggest common factor number is the GCF number.
So the greatest common factor 1986,4569 is 3.
Lets's calculate LCM of 865,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 759470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/759470
Therefore, the GCF of Fractions 1986/865,4569/878 is 3/759470
Least Common Multiple of 865,878 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 865,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,878) x common factors =1 x 1 = 1
LCM(865,878) = ( 865 × 878 ) / 1
LCM(865,878) = 759470 / 1
LCM(865,878) = 759470
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FAQs on GCF of Fractions of 1986/865, 4569/878
1. What is the HCF of 1986,4569?
The HCF of 1986,4569 is 3
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 1986/865, 4569/878?
Answer: GCF of Numerators as per given numbers 1986/865, 4569/878 is
GCF of Numerators i.e. for 1986,4569 is 3
LCM of denominators i.e. for 865,878 is 759470.
Thus, GCF of Fractions is 3/759470.Finally, GCF of Fractions for 1986/865, 4569/878 is 3/759470.