GCF of 3658/146, 1026/3506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3658/146, 1026/3506 i.e 2/255938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3658/146, 1026/3506.
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 3658/146,1026/3506?
Given fractions are 3658/146,1026/3506
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 3658/146,1026/3506, numerators are 3658,1026
Denominators are 146,3506
The GCF of 3658,1026 is 2 .
LCM of 146,3506 is 255938.
The greatest common factor of 3658/146,1026/3506 = [GCF of 3658,1026]/[LCM of 146,3506]= 2/255938
Therefore, the GCF of 3658/146,1026/3506 is 2/255938.
To find the highest common factor of 3658,1026, we have to find the factors of both numbers and list the highest common factor.
The factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658
The factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026
The HCF of 3658,1026 is 2.
Lets's calculate GCF of 3658,1026
| 2 | 3658, 1026 |
| 1829, 513 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3658,1026 By Matching Biggest Common Factor Method
Now, list down the factors of 3658
:1,2,31,59,62,118,1829,3658
Now, list down the factors of 1026
:1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026
Greatest Common Factor
We found the factors 3658,1026 . The biggest common factor number is the GCF number.
So the greatest common factor 3658,1026 is 2.
Lets's calculate LCM of 146,3506
| 2 | 146, 3506 |
| 73, 1753 |
∴ So the LCM of the given numbers is 2 x 73 x 1753 = 255938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255938
Therefore, the GCF of Fractions 3658/146,1026/3506 is 2/255938
Least Common Multiple of 146,3506 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 146,3506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,3506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,3506) x common factors =2 x 1 = 2
LCM(146,3506) = ( 146 × 3506 ) / 2
LCM(146,3506) = 511876 / 2
LCM(146,3506) = 255938
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FAQs on GCF of Fractions of 3658/146, 1026/3506
1. What is the HCF of 3658,1026?
The HCF of 3658,1026 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 3658/146, 1026/3506?
Answer: GCF of Numerators as per given numbers 3658/146, 1026/3506 is
GCF of Numerators i.e. for 3658,1026 is 2
LCM of denominators i.e. for 146,3506 is 255938.
Thus, GCF of Fractions is 2/255938.Finally, GCF of Fractions for 3658/146, 1026/3506 is 2/255938.