GCF of 82/946, 32/276, 518/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/946, 32/276, 518/419 i.e 2/54699612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/946, 32/276, 518/419.
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 82/946,32/276,518/419?
Given fractions are 82/946,32/276,518/419
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 82/946,32/276,518/419, numerators are 82,32,518
Denominators are 946,276,419
The GCF of 82,32,518 is 2 .
LCM of 946,276,419 is 54699612.
The greatest common factor of 82/946,32/276,518/419 = [GCF of 82,32,518]/[LCM of 946,276,419]= 2/54699612
Therefore, the GCF of 82/946,32/276,518/419 is 2/54699612.
To find the highest common factor of 82,32,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 82,32,518 is 2.
Lets's calculate GCF of 82,32,518
| 2 | 82, 32, 518 |
| 41, 16, 259 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 82,32,518 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 82,32,518 . The biggest common factor number is the GCF number.
So the greatest common factor 82,32,518 is 2.
Lets's calculate LCM of 946,276,419
| 2 | 946, 276, 419 |
| 473, 138, 419 |
∴ So the LCM of the given numbers is 2 x 473 x 138 x 419 = 54699612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54699612
Therefore, the GCF of Fractions 82/946,32/276,518/419 is 2/54699612
Least Common Multiple of 946,276,419 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 946,276,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,276,419) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(946,276,419) x common factors =1 x 2 = 2
LCM(946,276,419) = ( 946 × 276 × 419 ) / 2
LCM(946,276,419) = 109399224 / 2
LCM(946,276,419) = 54699612
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FAQs on GCF of Fractions of 82/946, 32/276, 518/419
1. What is the HCF of 82,32,518?
The HCF of 82,32,518 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 82/946, 32/276, 518/419?
Answer: GCF of Numerators as per given numbers 82/946, 32/276, 518/419 is
GCF of Numerators i.e. for 82,32,518 is 2
LCM of denominators i.e. for 946,276,419 is 54699612.
Thus, GCF of Fractions is 2/54699612.Finally, GCF of Fractions for 82/946, 32/276, 518/419 is 2/54699612.