GCF of 4782/822, 4258/9536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4782/822, 4258/9536 i.e 2/3919296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4782/822, 4258/9536.
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 4782/822,4258/9536?
Given fractions are 4782/822,4258/9536
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 4782/822,4258/9536, numerators are 4782,4258
Denominators are 822,9536
The GCF of 4782,4258 is 2 .
LCM of 822,9536 is 3919296.
The greatest common factor of 4782/822,4258/9536 = [GCF of 4782,4258]/[LCM of 822,9536]= 2/3919296
Therefore, the GCF of 4782/822,4258/9536 is 2/3919296.
To find the highest common factor of 4782,4258, we have to find the factors of both numbers and list the highest common factor.
The factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782
The factors of 4258 are 1, 2, 2129, 4258
The HCF of 4782,4258 is 2.
Lets's calculate GCF of 4782,4258
| 2 | 4782, 4258 |
| 2391, 2129 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4782,4258 By Matching Biggest Common Factor Method
Now, list down the factors of 4782
:1,2,3,6,797,1594,2391,4782
Now, list down the factors of 4258
:1,2,2129,4258
Greatest Common Factor
We found the factors 4782,4258 . The biggest common factor number is the GCF number.
So the greatest common factor 4782,4258 is 2.
Lets's calculate LCM of 822,9536
| 2 | 822, 9536 |
| 411, 4768 |
∴ So the LCM of the given numbers is 2 x 411 x 4768 = 3919296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3919296
Therefore, the GCF of Fractions 4782/822,4258/9536 is 2/3919296
Least Common Multiple of 822,9536 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 822,9536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,9536) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,9536) x common factors =2 x 1 = 2
LCM(822,9536) = ( 822 × 9536 ) / 2
LCM(822,9536) = 7838592 / 2
LCM(822,9536) = 3919296
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FAQs on GCF of Fractions of 4782/822, 4258/9536
1. What is the HCF of 4782,4258?
The HCF of 4782,4258 is 2
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 4782/822, 4258/9536?
Answer: GCF of Numerators as per given numbers 4782/822, 4258/9536 is
GCF of Numerators i.e. for 4782,4258 is 2
LCM of denominators i.e. for 822,9536 is 3919296.
Thus, GCF of Fractions is 2/3919296.Finally, GCF of Fractions for 4782/822, 4258/9536 is 2/3919296.