GCF of 1586/315, 3512/334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1586/315, 3512/334 i.e 2/105210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1586/315, 3512/334.
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 1586/315,3512/334?
Given fractions are 1586/315,3512/334
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 1586/315,3512/334, numerators are 1586,3512
Denominators are 315,334
The GCF of 1586,3512 is 2 .
LCM of 315,334 is 105210.
The greatest common factor of 1586/315,3512/334 = [GCF of 1586,3512]/[LCM of 315,334]= 2/105210
Therefore, the GCF of 1586/315,3512/334 is 2/105210.
To find the highest common factor of 1586,3512, we have to find the factors of both numbers and list the highest common factor.
The factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586
The factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512
The HCF of 1586,3512 is 2.
Lets's calculate GCF of 1586,3512
| 2 | 1586, 3512 |
| 793, 1756 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1586,3512 By Matching Biggest Common Factor Method
Now, list down the factors of 1586
:1,2,13,26,61,122,793,1586
Now, list down the factors of 3512
:1,2,4,8,439,878,1756,3512
Greatest Common Factor
We found the factors 1586,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 1586,3512 is 2.
Lets's calculate LCM of 315,334
Given numbers has no common factors except 1. So, there LCM is their product i.e 105210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105210
Therefore, the GCF of Fractions 1586/315,3512/334 is 2/105210
Least Common Multiple of 315,334 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 315,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,334) x common factors =1 x 1 = 1
LCM(315,334) = ( 315 × 334 ) / 1
LCM(315,334) = 105210 / 1
LCM(315,334) = 105210
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FAQs on GCF of Fractions of 1586/315, 3512/334
1. What is the HCF of 1586,3512?
The HCF of 1586,3512 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 1586/315, 3512/334?
Answer: GCF of Numerators as per given numbers 1586/315, 3512/334 is
GCF of Numerators i.e. for 1586,3512 is 2
LCM of denominators i.e. for 315,334 is 105210.
Thus, GCF of Fractions is 2/105210.Finally, GCF of Fractions for 1586/315, 3512/334 is 2/105210.