GCF of 4027/636, 7357/720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4027/636, 7357/720 i.e 1/38160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4027/636, 7357/720.
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 4027/636,7357/720?
Given fractions are 4027/636,7357/720
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 4027/636,7357/720, numerators are 4027,7357
Denominators are 636,720
The GCF of 4027,7357 is 1 .
LCM of 636,720 is 38160.
The greatest common factor of 4027/636,7357/720 = [GCF of 4027,7357]/[LCM of 636,720]= 1/38160
Therefore, the GCF of 4027/636,7357/720 is 1/38160.
To find the highest common factor of 4027,7357, we have to find the factors of both numbers and list the highest common factor.
The factors of 4027 are 1, 4027
The factors of 7357 are 1, 7, 1051, 7357
The HCF of 4027,7357 is 1.
Lets's calculate GCF of 4027,7357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4027,7357 By Matching Biggest Common Factor Method
Now, list down the factors of 4027
:1,4027
Now, list down the factors of 7357
:1,7,1051,7357
Greatest Common Factor
We found the factors 4027,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 4027,7357 is 1.
Lets's calculate LCM of 636,720
| 2 | 636, 720 |
| 2 | 318, 360 |
| 3 | 159, 180 |
| 53, 60 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 60 = 38160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38160
Therefore, the GCF of Fractions 4027/636,7357/720 is 1/38160
Least Common Multiple of 636,720 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 636,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,720) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(636,720) x common factors =12 x 1 = 12
LCM(636,720) = ( 636 × 720 ) / 12
LCM(636,720) = 457920 / 12
LCM(636,720) = 38160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4027/636, 7357/720
1. What is the HCF of 4027,7357?
The HCF of 4027,7357 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 4027/636, 7357/720?
Answer: GCF of Numerators as per given numbers 4027/636, 7357/720 is
GCF of Numerators i.e. for 4027,7357 is 1
LCM of denominators i.e. for 636,720 is 38160.
Thus, GCF of Fractions is 1/38160.Finally, GCF of Fractions for 4027/636, 7357/720 is 1/38160.