GCF of 14/283, 374/552, 736/871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/283, 374/552, 736/871 i.e 2/136064136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/283, 374/552, 736/871.
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 14/283,374/552,736/871?
Given fractions are 14/283,374/552,736/871
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 14/283,374/552,736/871, numerators are 14,374,736
Denominators are 283,552,871
The GCF of 14,374,736 is 2 .
LCM of 283,552,871 is 136064136.
The greatest common factor of 14/283,374/552,736/871 = [GCF of 14,374,736]/[LCM of 283,552,871]= 2/136064136
Therefore, the GCF of 14/283,374/552,736/871 is 2/136064136.
To find the highest common factor of 14,374,736, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The HCF of 14,374,736 is 2.
Lets's calculate GCF of 14,374,736
| 2 | 14, 374, 736 |
| 7, 187, 368 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 14,374,736 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 14,374,736 . The biggest common factor number is the GCF number.
So the greatest common factor 14,374,736 is 2.
Lets's calculate LCM of 283,552,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 136064136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136064136
Therefore, the GCF of Fractions 14/283,374/552,736/871 is 2/136064136
Least Common Multiple of 283,552,871 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 283,552,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,552,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,552,871) x common factors =1 x 1 = 1
LCM(283,552,871) = ( 283 × 552 × 871 ) / 1
LCM(283,552,871) = 136064136 / 1
LCM(283,552,871) = 136064136
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 14/283, 374/552, 736/871
1. What is the HCF of 14,374,736?
The HCF of 14,374,736 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 14/283, 374/552, 736/871?
Answer: GCF of Numerators as per given numbers 14/283, 374/552, 736/871 is
GCF of Numerators i.e. for 14,374,736 is 2
LCM of denominators i.e. for 283,552,871 is 136064136.
Thus, GCF of Fractions is 2/136064136.Finally, GCF of Fractions for 14/283, 374/552, 736/871 is 2/136064136.