GCF of 4787/636, 4147/6274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4787/636, 4147/6274 i.e 1/1995132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4787/636, 4147/6274.
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 4787/636,4147/6274?
Given fractions are 4787/636,4147/6274
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 4787/636,4147/6274, numerators are 4787,4147
Denominators are 636,6274
The GCF of 4787,4147 is 1 .
LCM of 636,6274 is 1995132.
The greatest common factor of 4787/636,4147/6274 = [GCF of 4787,4147]/[LCM of 636,6274]= 1/1995132
Therefore, the GCF of 4787/636,4147/6274 is 1/1995132.
To find the highest common factor of 4787,4147, 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 4147 are 1, 11, 13, 29, 143, 319, 377, 4147
The HCF of 4787,4147 is 1.
Lets's calculate GCF of 4787,4147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4787,4147 By Matching Biggest Common Factor Method
Now, list down the factors of 4787
:1,4787
Now, list down the factors of 4147
:1,11,13,29,143,319,377,4147
Greatest Common Factor
We found the factors 4787,4147 . The biggest common factor number is the GCF number.
So the greatest common factor 4787,4147 is 1.
Lets's calculate LCM of 636,6274
| 2 | 636, 6274 |
| 318, 3137 |
∴ So the LCM of the given numbers is 2 x 318 x 3137 = 1995132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1995132
Therefore, the GCF of Fractions 4787/636,4147/6274 is 1/1995132
Least Common Multiple of 636,6274 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 636,6274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,6274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(636,6274) x common factors =2 x 1 = 2
LCM(636,6274) = ( 636 × 6274 ) / 2
LCM(636,6274) = 3990264 / 2
LCM(636,6274) = 1995132
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4787/636, 4147/6274
1. What is the HCF of 4787,4147?
The HCF of 4787,4147 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 4787/636, 4147/6274?
Answer: GCF of Numerators as per given numbers 4787/636, 4147/6274 is
GCF of Numerators i.e. for 4787,4147 is 1
LCM of denominators i.e. for 636,6274 is 1995132.
Thus, GCF of Fractions is 1/1995132.Finally, GCF of Fractions for 4787/636, 4147/6274 is 1/1995132.