GCF of 3018/453, 4280/8556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3018/453, 4280/8556 i.e 2/1291956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3018/453, 4280/8556.
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 3018/453,4280/8556?
Given fractions are 3018/453,4280/8556
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 3018/453,4280/8556, numerators are 3018,4280
Denominators are 453,8556
The GCF of 3018,4280 is 2 .
LCM of 453,8556 is 1291956.
The greatest common factor of 3018/453,4280/8556 = [GCF of 3018,4280]/[LCM of 453,8556]= 2/1291956
Therefore, the GCF of 3018/453,4280/8556 is 2/1291956.
To find the highest common factor of 3018,4280, we have to find the factors of both numbers and list the highest common factor.
The factors of 3018 are 1, 2, 3, 6, 503, 1006, 1509, 3018
The factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280
The HCF of 3018,4280 is 2.
Lets's calculate GCF of 3018,4280
| 2 | 3018, 4280 |
| 1509, 2140 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3018,4280 By Matching Biggest Common Factor Method
Now, list down the factors of 3018
:1,2,3,6,503,1006,1509,3018
Now, list down the factors of 4280
:1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280
Greatest Common Factor
We found the factors 3018,4280 . The biggest common factor number is the GCF number.
So the greatest common factor 3018,4280 is 2.
Lets's calculate LCM of 453,8556
| 3 | 453, 8556 |
| 151, 2852 |
∴ So the LCM of the given numbers is 3 x 151 x 2852 = 1291956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1291956
Therefore, the GCF of Fractions 3018/453,4280/8556 is 2/1291956
Least Common Multiple of 453,8556 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 453,8556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,8556) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(453,8556) x common factors =3 x 1 = 3
LCM(453,8556) = ( 453 × 8556 ) / 3
LCM(453,8556) = 3875868 / 3
LCM(453,8556) = 1291956
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FAQs on GCF of Fractions of 3018/453, 4280/8556
1. What is the HCF of 3018,4280?
The HCF of 3018,4280 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 3018/453, 4280/8556?
Answer: GCF of Numerators as per given numbers 3018/453, 4280/8556 is
GCF of Numerators i.e. for 3018,4280 is 2
LCM of denominators i.e. for 453,8556 is 1291956.
Thus, GCF of Fractions is 2/1291956.Finally, GCF of Fractions for 3018/453, 4280/8556 is 2/1291956.