GCF of 841/984, 580/826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 841/984, 580/826 i.e 29/406392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 841/984, 580/826.
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 841/984,580/826?
Given fractions are 841/984,580/826
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 841/984,580/826, numerators are 841,580
Denominators are 984,826
The GCF of 841,580 is 29 .
LCM of 984,826 is 406392.
The greatest common factor of 841/984,580/826 = [GCF of 841,580]/[LCM of 984,826]= 29/406392
Therefore, the GCF of 841/984,580/826 is 29/406392.
To find the highest common factor of 841,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 841 are 1, 29, 841
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 841,580 is 29.
Lets's calculate GCF of 841,580
| 29 | 841, 580 |
| 29, 20 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 841,580 By Matching Biggest Common Factor Method
Now, list down the factors of 841
:1,29,841
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 841,580 . The biggest common factor number is the GCF number.
So the greatest common factor 841,580 is 29.
Lets's calculate LCM of 984,826
| 2 | 984, 826 |
| 492, 413 |
∴ So the LCM of the given numbers is 2 x 492 x 413 = 406392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/406392
Therefore, the GCF of Fractions 841/984,580/826 is 29/406392
Least Common Multiple of 984,826 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 984,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(984,826) x common factors =2 x 1 = 2
LCM(984,826) = ( 984 × 826 ) / 2
LCM(984,826) = 812784 / 2
LCM(984,826) = 406392
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FAQs on GCF of Fractions of 841/984, 580/826
1. What is the HCF of 841,580?
The HCF of 841,580 is 29
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 841/984, 580/826?
Answer: GCF of Numerators as per given numbers 841/984, 580/826 is
GCF of Numerators i.e. for 841,580 is 29
LCM of denominators i.e. for 984,826 is 406392.
Thus, GCF of Fractions is 29/406392.Finally, GCF of Fractions for 841/984, 580/826 is 29/406392.