GCF of 2934/489, 3658/790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2934/489, 3658/790 i.e 2/386310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2934/489, 3658/790.
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 2934/489,3658/790?
Given fractions are 2934/489,3658/790
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 2934/489,3658/790, numerators are 2934,3658
Denominators are 489,790
The GCF of 2934,3658 is 2 .
LCM of 489,790 is 386310.
The greatest common factor of 2934/489,3658/790 = [GCF of 2934,3658]/[LCM of 489,790]= 2/386310
Therefore, the GCF of 2934/489,3658/790 is 2/386310.
To find the highest common factor of 2934,3658, we have to find the factors of both numbers and list the highest common factor.
The factors of 2934 are 1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934
The factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658
The HCF of 2934,3658 is 2.
Lets's calculate GCF of 2934,3658
| 2 | 2934, 3658 |
| 1467, 1829 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2934,3658 By Matching Biggest Common Factor Method
Now, list down the factors of 2934
:1,2,3,6,9,18,163,326,489,978,1467,2934
Now, list down the factors of 3658
:1,2,31,59,62,118,1829,3658
Greatest Common Factor
We found the factors 2934,3658 . The biggest common factor number is the GCF number.
So the greatest common factor 2934,3658 is 2.
Lets's calculate LCM of 489,790
Given numbers has no common factors except 1. So, there LCM is their product i.e 386310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/386310
Therefore, the GCF of Fractions 2934/489,3658/790 is 2/386310
Least Common Multiple of 489,790 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 489,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,790) x common factors =1 x 1 = 1
LCM(489,790) = ( 489 × 790 ) / 1
LCM(489,790) = 386310 / 1
LCM(489,790) = 386310
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FAQs on GCF of Fractions of 2934/489, 3658/790
1. What is the HCF of 2934,3658?
The HCF of 2934,3658 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 2934/489, 3658/790?
Answer: GCF of Numerators as per given numbers 2934/489, 3658/790 is
GCF of Numerators i.e. for 2934,3658 is 2
LCM of denominators i.e. for 489,790 is 386310.
Thus, GCF of Fractions is 2/386310.Finally, GCF of Fractions for 2934/489, 3658/790 is 2/386310.