GCF of 4817/774, 5084/8732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4817/774, 5084/8732 i.e 1/3379284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4817/774, 5084/8732.
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 4817/774,5084/8732?
Given fractions are 4817/774,5084/8732
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 4817/774,5084/8732, numerators are 4817,5084
Denominators are 774,8732
The GCF of 4817,5084 is 1 .
LCM of 774,8732 is 3379284.
The greatest common factor of 4817/774,5084/8732 = [GCF of 4817,5084]/[LCM of 774,8732]= 1/3379284
Therefore, the GCF of 4817/774,5084/8732 is 1/3379284.
To find the highest common factor of 4817,5084, we have to find the factors of both numbers and list the highest common factor.
The factors of 4817 are 1, 4817
The factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084
The HCF of 4817,5084 is 1.
Lets's calculate GCF of 4817,5084
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4817,5084 By Matching Biggest Common Factor Method
Now, list down the factors of 4817
:1,4817
Now, list down the factors of 5084
:1,2,4,31,41,62,82,124,164,1271,2542,5084
Greatest Common Factor
We found the factors 4817,5084 . The biggest common factor number is the GCF number.
So the greatest common factor 4817,5084 is 1.
Lets's calculate LCM of 774,8732
| 2 | 774, 8732 |
| 387, 4366 |
∴ So the LCM of the given numbers is 2 x 387 x 4366 = 3379284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3379284
Therefore, the GCF of Fractions 4817/774,5084/8732 is 1/3379284
Least Common Multiple of 774,8732 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 774,8732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,8732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,8732) x common factors =2 x 1 = 2
LCM(774,8732) = ( 774 × 8732 ) / 2
LCM(774,8732) = 6758568 / 2
LCM(774,8732) = 3379284
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FAQs on GCF of Fractions of 4817/774, 5084/8732
1. What is the HCF of 4817,5084?
The HCF of 4817,5084 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 4817/774, 5084/8732?
Answer: GCF of Numerators as per given numbers 4817/774, 5084/8732 is
GCF of Numerators i.e. for 4817,5084 is 1
LCM of denominators i.e. for 774,8732 is 3379284.
Thus, GCF of Fractions is 1/3379284.Finally, GCF of Fractions for 4817/774, 5084/8732 is 1/3379284.