GCF of 846/40, 231/41, 213/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 846/40, 231/41, 213/549 i.e 3/900360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/40, 231/41, 213/549.
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 846/40,231/41,213/549?
Given fractions are 846/40,231/41,213/549
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 846/40,231/41,213/549, numerators are 846,231,213
Denominators are 40,41,549
The GCF of 846,231,213 is 3 .
LCM of 40,41,549 is 900360.
The greatest common factor of 846/40,231/41,213/549 = [GCF of 846,231,213]/[LCM of 40,41,549]= 3/900360
Therefore, the GCF of 846/40,231/41,213/549 is 3/900360.
To find the highest common factor of 846,231,213, we have to find the factors of both numbers and list the highest common factor.
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The factors of 213 are 1, 3, 71, 213
The HCF of 846,231,213 is 3.
Lets's calculate GCF of 846,231,213
| 3 | 846, 231, 213 |
| 282, 77, 71 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 846,231,213 By Matching Biggest Common Factor Method
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Now, list down the factors of 213
:1,3,71,213
Greatest Common Factor
We found the factors 846,231,213 . The biggest common factor number is the GCF number.
So the greatest common factor 846,231,213 is 3.
Lets's calculate LCM of 40,41,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 900360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/900360
Therefore, the GCF of Fractions 846/40,231/41,213/549 is 3/900360
Least Common Multiple of 40,41,549 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 40,41,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,41,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,41,549) x common factors =1 x 1 = 1
LCM(40,41,549) = ( 40 × 41 × 549 ) / 1
LCM(40,41,549) = 900360 / 1
LCM(40,41,549) = 900360
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FAQs on GCF of Fractions of 846/40, 231/41, 213/549
1. What is the HCF of 846,231,213?
The HCF of 846,231,213 is 3
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 846/40, 231/41, 213/549?
Answer: GCF of Numerators as per given numbers 846/40, 231/41, 213/549 is
GCF of Numerators i.e. for 846,231,213 is 3
LCM of denominators i.e. for 40,41,549 is 900360.
Thus, GCF of Fractions is 3/900360.Finally, GCF of Fractions for 846/40, 231/41, 213/549 is 3/900360.