GCF of 1863/577, 1978/3727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1863/577, 1978/3727 i.e 23/2150479 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1863/577, 1978/3727.
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 1863/577,1978/3727?
Given fractions are 1863/577,1978/3727
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 1863/577,1978/3727, numerators are 1863,1978
Denominators are 577,3727
The GCF of 1863,1978 is 23 .
LCM of 577,3727 is 2150479.
The greatest common factor of 1863/577,1978/3727 = [GCF of 1863,1978]/[LCM of 577,3727]= 23/2150479
Therefore, the GCF of 1863/577,1978/3727 is 23/2150479.
To find the highest common factor of 1863,1978, we have to find the factors of both numbers and list the highest common factor.
The factors of 1863 are 1, 3, 9, 23, 27, 69, 81, 207, 621, 1863
The factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978
The HCF of 1863,1978 is 23.
Lets's calculate GCF of 1863,1978
| 23 | 1863, 1978 |
| 81, 86 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 1863,1978 By Matching Biggest Common Factor Method
Now, list down the factors of 1863
:1,3,9,23,27,69,81,207,621,1863
Now, list down the factors of 1978
:1,2,23,43,46,86,989,1978
Greatest Common Factor
We found the factors 1863,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 1863,1978 is 23.
Lets's calculate LCM of 577,3727
Given numbers has no common factors except 1. So, there LCM is their product i.e 2150479
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2150479
Therefore, the GCF of Fractions 1863/577,1978/3727 is 23/2150479
Least Common Multiple of 577,3727 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 577,3727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,3727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,3727) x common factors =1 x 1 = 1
LCM(577,3727) = ( 577 × 3727 ) / 1
LCM(577,3727) = 2150479 / 1
LCM(577,3727) = 2150479
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FAQs on GCF of Fractions of 1863/577, 1978/3727
1. What is the HCF of 1863,1978?
The HCF of 1863,1978 is 23
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 1863/577, 1978/3727?
Answer: GCF of Numerators as per given numbers 1863/577, 1978/3727 is
GCF of Numerators i.e. for 1863,1978 is 23
LCM of denominators i.e. for 577,3727 is 2150479.
Thus, GCF of Fractions is 23/2150479.Finally, GCF of Fractions for 1863/577, 1978/3727 is 23/2150479.