GCF of 4110/842, 3692/1022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4110/842, 3692/1022 i.e 2/430262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4110/842, 3692/1022.
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 4110/842,3692/1022?
Given fractions are 4110/842,3692/1022
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 4110/842,3692/1022, numerators are 4110,3692
Denominators are 842,1022
The GCF of 4110,3692 is 2 .
LCM of 842,1022 is 430262.
The greatest common factor of 4110/842,3692/1022 = [GCF of 4110,3692]/[LCM of 842,1022]= 2/430262
Therefore, the GCF of 4110/842,3692/1022 is 2/430262.
To find the highest common factor of 4110,3692, we have to find the factors of both numbers and list the highest common factor.
The factors of 4110 are 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110
The factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692
The HCF of 4110,3692 is 2.
Lets's calculate GCF of 4110,3692
| 2 | 4110, 3692 |
| 2055, 1846 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4110,3692 By Matching Biggest Common Factor Method
Now, list down the factors of 4110
:1,2,3,5,6,10,15,30,137,274,411,685,822,1370,2055,4110
Now, list down the factors of 3692
:1,2,4,13,26,52,71,142,284,923,1846,3692
Greatest Common Factor
We found the factors 4110,3692 . The biggest common factor number is the GCF number.
So the greatest common factor 4110,3692 is 2.
Lets's calculate LCM of 842,1022
| 2 | 842, 1022 |
| 421, 511 |
∴ So the LCM of the given numbers is 2 x 421 x 511 = 430262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/430262
Therefore, the GCF of Fractions 4110/842,3692/1022 is 2/430262
Least Common Multiple of 842,1022 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 842,1022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,1022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,1022) x common factors =2 x 1 = 2
LCM(842,1022) = ( 842 × 1022 ) / 2
LCM(842,1022) = 860524 / 2
LCM(842,1022) = 430262
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FAQs on GCF of Fractions of 4110/842, 3692/1022
1. What is the HCF of 4110,3692?
The HCF of 4110,3692 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 4110/842, 3692/1022?
Answer: GCF of Numerators as per given numbers 4110/842, 3692/1022 is
GCF of Numerators i.e. for 4110,3692 is 2
LCM of denominators i.e. for 842,1022 is 430262.
Thus, GCF of Fractions is 2/430262.Finally, GCF of Fractions for 4110/842, 3692/1022 is 2/430262.