GCF of 8728/636, 1230/451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8728/636, 1230/451 i.e 2/286836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8728/636, 1230/451.
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 8728/636,1230/451?
Given fractions are 8728/636,1230/451
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 8728/636,1230/451, numerators are 8728,1230
Denominators are 636,451
The GCF of 8728,1230 is 2 .
LCM of 636,451 is 286836.
The greatest common factor of 8728/636,1230/451 = [GCF of 8728,1230]/[LCM of 636,451]= 2/286836
Therefore, the GCF of 8728/636,1230/451 is 2/286836.
To find the highest common factor of 8728,1230, we have to find the factors of both numbers and list the highest common factor.
The factors of 8728 are 1, 2, 4, 8, 1091, 2182, 4364, 8728
The factors of 1230 are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230
The HCF of 8728,1230 is 2.
Lets's calculate GCF of 8728,1230
| 2 | 8728, 1230 |
| 4364, 615 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8728,1230 By Matching Biggest Common Factor Method
Now, list down the factors of 8728
:1,2,4,8,1091,2182,4364,8728
Now, list down the factors of 1230
:1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230
Greatest Common Factor
We found the factors 8728,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 8728,1230 is 2.
Lets's calculate LCM of 636,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 286836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/286836
Therefore, the GCF of Fractions 8728/636,1230/451 is 2/286836
Least Common Multiple of 636,451 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 636,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(636,451) x common factors =1 x 1 = 1
LCM(636,451) = ( 636 × 451 ) / 1
LCM(636,451) = 286836 / 1
LCM(636,451) = 286836
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FAQs on GCF of Fractions of 8728/636, 1230/451
1. What is the HCF of 8728,1230?
The HCF of 8728,1230 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 8728/636, 1230/451?
Answer: GCF of Numerators as per given numbers 8728/636, 1230/451 is
GCF of Numerators i.e. for 8728,1230 is 2
LCM of denominators i.e. for 636,451 is 286836.
Thus, GCF of Fractions is 2/286836.Finally, GCF of Fractions for 8728/636, 1230/451 is 2/286836.