GCF of 1917/587, 7779/4919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1917/587, 7779/4919 i.e 3/2887453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1917/587, 7779/4919.
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 1917/587,7779/4919?
Given fractions are 1917/587,7779/4919
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 1917/587,7779/4919, numerators are 1917,7779
Denominators are 587,4919
The GCF of 1917,7779 is 3 .
LCM of 587,4919 is 2887453.
The greatest common factor of 1917/587,7779/4919 = [GCF of 1917,7779]/[LCM of 587,4919]= 3/2887453
Therefore, the GCF of 1917/587,7779/4919 is 3/2887453.
To find the highest common factor of 1917,7779, we have to find the factors of both numbers and list the highest common factor.
The factors of 1917 are 1, 3, 9, 27, 71, 213, 639, 1917
The factors of 7779 are 1, 3, 2593, 7779
The HCF of 1917,7779 is 3.
Lets's calculate GCF of 1917,7779
| 3 | 1917, 7779 |
| 639, 2593 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1917,7779 By Matching Biggest Common Factor Method
Now, list down the factors of 1917
:1,3,9,27,71,213,639,1917
Now, list down the factors of 7779
:1,3,2593,7779
Greatest Common Factor
We found the factors 1917,7779 . The biggest common factor number is the GCF number.
So the greatest common factor 1917,7779 is 3.
Lets's calculate LCM of 587,4919
Given numbers has no common factors except 1. So, there LCM is their product i.e 2887453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2887453
Therefore, the GCF of Fractions 1917/587,7779/4919 is 3/2887453
Least Common Multiple of 587,4919 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 587,4919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,4919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,4919) x common factors =1 x 1 = 1
LCM(587,4919) = ( 587 × 4919 ) / 1
LCM(587,4919) = 2887453 / 1
LCM(587,4919) = 2887453
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FAQs on GCF of Fractions of 1917/587, 7779/4919
1. What is the HCF of 1917,7779?
The HCF of 1917,7779 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 1917/587, 7779/4919?
Answer: GCF of Numerators as per given numbers 1917/587, 7779/4919 is
GCF of Numerators i.e. for 1917,7779 is 3
LCM of denominators i.e. for 587,4919 is 2887453.
Thus, GCF of Fractions is 3/2887453.Finally, GCF of Fractions for 1917/587, 7779/4919 is 3/2887453.