GCF of 8680/414, 3946/1642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8680/414, 3946/1642 i.e 2/339894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8680/414, 3946/1642.
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 8680/414,3946/1642?
Given fractions are 8680/414,3946/1642
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 8680/414,3946/1642, numerators are 8680,3946
Denominators are 414,1642
The GCF of 8680,3946 is 2 .
LCM of 414,1642 is 339894.
The greatest common factor of 8680/414,3946/1642 = [GCF of 8680,3946]/[LCM of 414,1642]= 2/339894
Therefore, the GCF of 8680/414,3946/1642 is 2/339894.
To find the highest common factor of 8680,3946, we have to find the factors of both numbers and list the highest common factor.
The factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680
The factors of 3946 are 1, 2, 1973, 3946
The HCF of 8680,3946 is 2.
Lets's calculate GCF of 8680,3946
| 2 | 8680, 3946 |
| 4340, 1973 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8680,3946 By Matching Biggest Common Factor Method
Now, list down the factors of 8680
:1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680
Now, list down the factors of 3946
:1,2,1973,3946
Greatest Common Factor
We found the factors 8680,3946 . The biggest common factor number is the GCF number.
So the greatest common factor 8680,3946 is 2.
Lets's calculate LCM of 414,1642
| 2 | 414, 1642 |
| 207, 821 |
∴ So the LCM of the given numbers is 2 x 207 x 821 = 339894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339894
Therefore, the GCF of Fractions 8680/414,3946/1642 is 2/339894
Least Common Multiple of 414,1642 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 414,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,1642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,1642) x common factors =2 x 1 = 2
LCM(414,1642) = ( 414 × 1642 ) / 2
LCM(414,1642) = 679788 / 2
LCM(414,1642) = 339894
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FAQs on GCF of Fractions of 8680/414, 3946/1642
1. What is the HCF of 8680,3946?
The HCF of 8680,3946 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 8680/414, 3946/1642?
Answer: GCF of Numerators as per given numbers 8680/414, 3946/1642 is
GCF of Numerators i.e. for 8680,3946 is 2
LCM of denominators i.e. for 414,1642 is 339894.
Thus, GCF of Fractions is 2/339894.Finally, GCF of Fractions for 8680/414, 3946/1642 is 2/339894.