GCF of 4784/558, 3977/9674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4784/558, 3977/9674 i.e 1/2699046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4784/558, 3977/9674.
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 4784/558,3977/9674?
Given fractions are 4784/558,3977/9674
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 4784/558,3977/9674, numerators are 4784,3977
Denominators are 558,9674
The GCF of 4784,3977 is 1 .
LCM of 558,9674 is 2699046.
The greatest common factor of 4784/558,3977/9674 = [GCF of 4784,3977]/[LCM of 558,9674]= 1/2699046
Therefore, the GCF of 4784/558,3977/9674 is 1/2699046.
To find the highest common factor of 4784,3977, we have to find the factors of both numbers and list the highest common factor.
The factors of 4784 are 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784
The factors of 3977 are 1, 41, 97, 3977
The HCF of 4784,3977 is 1.
Lets's calculate GCF of 4784,3977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4784,3977 By Matching Biggest Common Factor Method
Now, list down the factors of 4784
:1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784
Now, list down the factors of 3977
:1,41,97,3977
Greatest Common Factor
We found the factors 4784,3977 . The biggest common factor number is the GCF number.
So the greatest common factor 4784,3977 is 1.
Lets's calculate LCM of 558,9674
| 2 | 558, 9674 |
| 279, 4837 |
∴ So the LCM of the given numbers is 2 x 279 x 4837 = 2699046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2699046
Therefore, the GCF of Fractions 4784/558,3977/9674 is 1/2699046
Least Common Multiple of 558,9674 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 558,9674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,9674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,9674) x common factors =2 x 1 = 2
LCM(558,9674) = ( 558 × 9674 ) / 2
LCM(558,9674) = 5398092 / 2
LCM(558,9674) = 2699046
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4784/558, 3977/9674
1. What is the HCF of 4784,3977?
The HCF of 4784,3977 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 4784/558, 3977/9674?
Answer: GCF of Numerators as per given numbers 4784/558, 3977/9674 is
GCF of Numerators i.e. for 4784,3977 is 1
LCM of denominators i.e. for 558,9674 is 2699046.
Thus, GCF of Fractions is 1/2699046.Finally, GCF of Fractions for 4784/558, 3977/9674 is 1/2699046.