GCF of 590/656, 9681/1658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 590/656, 9681/1658 i.e 1/543824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/656, 9681/1658.
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 590/656,9681/1658?
Given fractions are 590/656,9681/1658
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 590/656,9681/1658, numerators are 590,9681
Denominators are 656,1658
The GCF of 590,9681 is 1 .
LCM of 656,1658 is 543824.
The greatest common factor of 590/656,9681/1658 = [GCF of 590,9681]/[LCM of 656,1658]= 1/543824
Therefore, the GCF of 590/656,9681/1658 is 1/543824.
To find the highest common factor of 590,9681, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681
The HCF of 590,9681 is 1.
Lets's calculate GCF of 590,9681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 590,9681 By Matching Biggest Common Factor Method
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 9681
:1,3,7,21,461,1383,3227,9681
Greatest Common Factor
We found the factors 590,9681 . The biggest common factor number is the GCF number.
So the greatest common factor 590,9681 is 1.
Lets's calculate LCM of 656,1658
| 2 | 656, 1658 |
| 328, 829 |
∴ So the LCM of the given numbers is 2 x 328 x 829 = 543824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543824
Therefore, the GCF of Fractions 590/656,9681/1658 is 1/543824
Least Common Multiple of 656,1658 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 656,1658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,1658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(656,1658) x common factors =2 x 1 = 2
LCM(656,1658) = ( 656 × 1658 ) / 2
LCM(656,1658) = 1087648 / 2
LCM(656,1658) = 543824
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FAQs on GCF of Fractions of 590/656, 9681/1658
1. What is the HCF of 590,9681?
The HCF of 590,9681 is 1
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 590/656, 9681/1658?
Answer: GCF of Numerators as per given numbers 590/656, 9681/1658 is
GCF of Numerators i.e. for 590,9681 is 1
LCM of denominators i.e. for 656,1658 is 543824.
Thus, GCF of Fractions is 1/543824.Finally, GCF of Fractions for 590/656, 9681/1658 is 1/543824.