GCF of 681/586, 584/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 681/586, 584/610 i.e 1/178730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 681/586, 584/610.
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 681/586,584/610?
Given fractions are 681/586,584/610
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 681/586,584/610, numerators are 681,584
Denominators are 586,610
The GCF of 681,584 is 1 .
LCM of 586,610 is 178730.
The greatest common factor of 681/586,584/610 = [GCF of 681,584]/[LCM of 586,610]= 1/178730
Therefore, the GCF of 681/586,584/610 is 1/178730.
To find the highest common factor of 681,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 681 are 1, 3, 227, 681
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 681,584 is 1.
Lets's calculate GCF of 681,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 681,584 By Matching Biggest Common Factor Method
Now, list down the factors of 681
:1,3,227,681
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 681,584 . The biggest common factor number is the GCF number.
So the greatest common factor 681,584 is 1.
Lets's calculate LCM of 586,610
| 2 | 586, 610 |
| 293, 305 |
∴ So the LCM of the given numbers is 2 x 293 x 305 = 178730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178730
Therefore, the GCF of Fractions 681/586,584/610 is 1/178730
Least Common Multiple of 586,610 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 586,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,610) x common factors =2 x 1 = 2
LCM(586,610) = ( 586 × 610 ) / 2
LCM(586,610) = 357460 / 2
LCM(586,610) = 178730
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FAQs on GCF of Fractions of 681/586, 584/610
1. What is the HCF of 681,584?
The HCF of 681,584 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 681/586, 584/610?
Answer: GCF of Numerators as per given numbers 681/586, 584/610 is
GCF of Numerators i.e. for 681,584 is 1
LCM of denominators i.e. for 586,610 is 178730.
Thus, GCF of Fractions is 1/178730.Finally, GCF of Fractions for 681/586, 584/610 is 1/178730.