GCF of 4787/256, 9237/586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4787/256, 9237/586 i.e 1/75008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4787/256, 9237/586.
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 4787/256,9237/586?
Given fractions are 4787/256,9237/586
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 4787/256,9237/586, numerators are 4787,9237
Denominators are 256,586
The GCF of 4787,9237 is 1 .
LCM of 256,586 is 75008.
The greatest common factor of 4787/256,9237/586 = [GCF of 4787,9237]/[LCM of 256,586]= 1/75008
Therefore, the GCF of 4787/256,9237/586 is 1/75008.
To find the highest common factor of 4787,9237, we have to find the factors of both numbers and list the highest common factor.
The factors of 4787 are 1, 4787
The factors of 9237 are 1, 3, 3079, 9237
The HCF of 4787,9237 is 1.
Lets's calculate GCF of 4787,9237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4787,9237 By Matching Biggest Common Factor Method
Now, list down the factors of 4787
:1,4787
Now, list down the factors of 9237
:1,3,3079,9237
Greatest Common Factor
We found the factors 4787,9237 . The biggest common factor number is the GCF number.
So the greatest common factor 4787,9237 is 1.
Lets's calculate LCM of 256,586
| 2 | 256, 586 |
| 128, 293 |
∴ So the LCM of the given numbers is 2 x 128 x 293 = 75008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75008
Therefore, the GCF of Fractions 4787/256,9237/586 is 1/75008
Least Common Multiple of 256,586 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 256,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,586) x common factors =2 x 1 = 2
LCM(256,586) = ( 256 × 586 ) / 2
LCM(256,586) = 150016 / 2
LCM(256,586) = 75008
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FAQs on GCF of Fractions of 4787/256, 9237/586
1. What is the HCF of 4787,9237?
The HCF of 4787,9237 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 4787/256, 9237/586?
Answer: GCF of Numerators as per given numbers 4787/256, 9237/586 is
GCF of Numerators i.e. for 4787,9237 is 1
LCM of denominators i.e. for 256,586 is 75008.
Thus, GCF of Fractions is 1/75008.Finally, GCF of Fractions for 4787/256, 9237/586 is 1/75008.