GCF of 3027/636, 8012/3528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3027/636, 8012/3528 i.e 1/186984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3027/636, 8012/3528.
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 3027/636,8012/3528?
Given fractions are 3027/636,8012/3528
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 3027/636,8012/3528, numerators are 3027,8012
Denominators are 636,3528
The GCF of 3027,8012 is 1 .
LCM of 636,3528 is 186984.
The greatest common factor of 3027/636,8012/3528 = [GCF of 3027,8012]/[LCM of 636,3528]= 1/186984
Therefore, the GCF of 3027/636,8012/3528 is 1/186984.
To find the highest common factor of 3027,8012, we have to find the factors of both numbers and list the highest common factor.
The factors of 3027 are 1, 3, 1009, 3027
The factors of 8012 are 1, 2, 4, 2003, 4006, 8012
The HCF of 3027,8012 is 1.
Lets's calculate GCF of 3027,8012
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3027,8012 By Matching Biggest Common Factor Method
Now, list down the factors of 3027
:1,3,1009,3027
Now, list down the factors of 8012
:1,2,4,2003,4006,8012
Greatest Common Factor
We found the factors 3027,8012 . The biggest common factor number is the GCF number.
So the greatest common factor 3027,8012 is 1.
Lets's calculate LCM of 636,3528
| 2 | 636, 3528 |
| 2 | 318, 1764 |
| 3 | 159, 882 |
| 53, 294 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 294 = 186984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186984
Therefore, the GCF of Fractions 3027/636,8012/3528 is 1/186984
Least Common Multiple of 636,3528 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 636,3528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3528) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3528) x common factors =12 x 1 = 12
LCM(636,3528) = ( 636 × 3528 ) / 12
LCM(636,3528) = 2243808 / 12
LCM(636,3528) = 186984
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3027/636, 8012/3528
1. What is the HCF of 3027,8012?
The HCF of 3027,8012 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 3027/636, 8012/3528?
Answer: GCF of Numerators as per given numbers 3027/636, 8012/3528 is
GCF of Numerators i.e. for 3027,8012 is 1
LCM of denominators i.e. for 636,3528 is 186984.
Thus, GCF of Fractions is 1/186984.Finally, GCF of Fractions for 3027/636, 8012/3528 is 1/186984.