GCF of 2018/784, 6110/3692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2018/784, 6110/3692 i.e 2/723632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2018/784, 6110/3692.
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 2018/784,6110/3692?
Given fractions are 2018/784,6110/3692
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 2018/784,6110/3692, numerators are 2018,6110
Denominators are 784,3692
The GCF of 2018,6110 is 2 .
LCM of 784,3692 is 723632.
The greatest common factor of 2018/784,6110/3692 = [GCF of 2018,6110]/[LCM of 784,3692]= 2/723632
Therefore, the GCF of 2018/784,6110/3692 is 2/723632.
To find the highest common factor of 2018,6110, we have to find the factors of both numbers and list the highest common factor.
The factors of 2018 are 1, 2, 1009, 2018
The factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110
The HCF of 2018,6110 is 2.
Lets's calculate GCF of 2018,6110
| 2 | 2018, 6110 |
| 1009, 3055 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2018,6110 By Matching Biggest Common Factor Method
Now, list down the factors of 2018
:1,2,1009,2018
Now, list down the factors of 6110
:1,2,5,10,13,26,47,65,94,130,235,470,611,1222,3055,6110
Greatest Common Factor
We found the factors 2018,6110 . The biggest common factor number is the GCF number.
So the greatest common factor 2018,6110 is 2.
Lets's calculate LCM of 784,3692
| 2 | 784, 3692 |
| 2 | 392, 1846 |
| 196, 923 |
∴ So the LCM of the given numbers is 2 x 2 x 196 x 923 = 723632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/723632
Therefore, the GCF of Fractions 2018/784,6110/3692 is 2/723632
Least Common Multiple of 784,3692 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 784,3692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,3692) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(784,3692) x common factors =4 x 1 = 4
LCM(784,3692) = ( 784 × 3692 ) / 4
LCM(784,3692) = 2894528 / 4
LCM(784,3692) = 723632
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FAQs on GCF of Fractions of 2018/784, 6110/3692
1. What is the HCF of 2018,6110?
The HCF of 2018,6110 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 2018/784, 6110/3692?
Answer: GCF of Numerators as per given numbers 2018/784, 6110/3692 is
GCF of Numerators i.e. for 2018,6110 is 2
LCM of denominators i.e. for 784,3692 is 723632.
Thus, GCF of Fractions is 2/723632.Finally, GCF of Fractions for 2018/784, 6110/3692 is 2/723632.