GCF of 1018/668, 6228/4568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1018/668, 6228/4568 i.e 2/762856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1018/668, 6228/4568.
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 1018/668,6228/4568?
Given fractions are 1018/668,6228/4568
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 1018/668,6228/4568, numerators are 1018,6228
Denominators are 668,4568
The GCF of 1018,6228 is 2 .
LCM of 668,4568 is 762856.
The greatest common factor of 1018/668,6228/4568 = [GCF of 1018,6228]/[LCM of 668,4568]= 2/762856
Therefore, the GCF of 1018/668,6228/4568 is 2/762856.
To find the highest common factor of 1018,6228, we have to find the factors of both numbers and list the highest common factor.
The factors of 1018 are 1, 2, 509, 1018
The factors of 6228 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228
The HCF of 1018,6228 is 2.
Lets's calculate GCF of 1018,6228
| 2 | 1018, 6228 |
| 509, 3114 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1018,6228 By Matching Biggest Common Factor Method
Now, list down the factors of 1018
:1,2,509,1018
Now, list down the factors of 6228
:1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228
Greatest Common Factor
We found the factors 1018,6228 . The biggest common factor number is the GCF number.
So the greatest common factor 1018,6228 is 2.
Lets's calculate LCM of 668,4568
| 2 | 668, 4568 |
| 2 | 334, 2284 |
| 167, 1142 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 1142 = 762856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/762856
Therefore, the GCF of Fractions 1018/668,6228/4568 is 2/762856
Least Common Multiple of 668,4568 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 668,4568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,4568) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,4568) x common factors =4 x 1 = 4
LCM(668,4568) = ( 668 × 4568 ) / 4
LCM(668,4568) = 3051424 / 4
LCM(668,4568) = 762856
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FAQs on GCF of Fractions of 1018/668, 6228/4568
1. What is the HCF of 1018,6228?
The HCF of 1018,6228 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 1018/668, 6228/4568?
Answer: GCF of Numerators as per given numbers 1018/668, 6228/4568 is
GCF of Numerators i.e. for 1018,6228 is 2
LCM of denominators i.e. for 668,4568 is 762856.
Thus, GCF of Fractions is 2/762856.Finally, GCF of Fractions for 1018/668, 6228/4568 is 2/762856.