GCF of 116/848, 414/743, 946/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 116/848, 414/743, 946/419 i.e 2/263996816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 116/848, 414/743, 946/419.
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 116/848,414/743,946/419?
Given fractions are 116/848,414/743,946/419
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 116/848,414/743,946/419, numerators are 116,414,946
Denominators are 848,743,419
The GCF of 116,414,946 is 2 .
LCM of 848,743,419 is 263996816.
The greatest common factor of 116/848,414/743,946/419 = [GCF of 116,414,946]/[LCM of 848,743,419]= 2/263996816
Therefore, the GCF of 116/848,414/743,946/419 is 2/263996816.
To find the highest common factor of 116,414,946, we have to find the factors of both numbers and list the highest common factor.
The factors of 116 are 1, 2, 4, 29, 58, 116
The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The HCF of 116,414,946 is 2.
Lets's calculate GCF of 116,414,946
| 2 | 116, 414, 946 |
| 58, 207, 473 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 116,414,946 By Matching Biggest Common Factor Method
Now, list down the factors of 116
:1,2,4,29,58,116
Now, list down the factors of 414
:1,2,3,6,9,18,23,46,69,138,207,414
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 116,414,946 . The biggest common factor number is the GCF number.
So the greatest common factor 116,414,946 is 2.
Lets's calculate LCM of 848,743,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 263996816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263996816
Therefore, the GCF of Fractions 116/848,414/743,946/419 is 2/263996816
Least Common Multiple of 848,743,419 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 848,743,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,743,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,743,419) x common factors =1 x 1 = 1
LCM(848,743,419) = ( 848 × 743 × 419 ) / 1
LCM(848,743,419) = 263996816 / 1
LCM(848,743,419) = 263996816
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 116/848, 414/743, 946/419
1. What is the HCF of 116,414,946?
The HCF of 116,414,946 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 116/848, 414/743, 946/419?
Answer: GCF of Numerators as per given numbers 116/848, 414/743, 946/419 is
GCF of Numerators i.e. for 116,414,946 is 2
LCM of denominators i.e. for 848,743,419 is 263996816.
Thus, GCF of Fractions is 2/263996816.Finally, GCF of Fractions for 116/848, 414/743, 946/419 is 2/263996816.