GCF of 1136/416, 3376/7727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1136/416, 3376/7727 i.e 16/3214432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1136/416, 3376/7727.
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 1136/416,3376/7727?
Given fractions are 1136/416,3376/7727
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 1136/416,3376/7727, numerators are 1136,3376
Denominators are 416,7727
The GCF of 1136,3376 is 16 .
LCM of 416,7727 is 3214432.
The greatest common factor of 1136/416,3376/7727 = [GCF of 1136,3376]/[LCM of 416,7727]= 16/3214432
Therefore, the GCF of 1136/416,3376/7727 is 16/3214432.
To find the highest common factor of 1136,3376, we have to find the factors of both numbers and list the highest common factor.
The factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136
The factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376
The HCF of 1136,3376 is 16.
Lets's calculate GCF of 1136,3376
| 2 | 1136, 3376 |
| 2 | 568, 1688 |
| 2 | 284, 844 |
| 2 | 142, 422 |
| 71, 211 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1136,3376 By Matching Biggest Common Factor Method
Now, list down the factors of 1136
:1,2,4,8,16,71,142,284,568,1136
Now, list down the factors of 3376
:1,2,4,8,16,211,422,844,1688,3376
Greatest Common Factor
We found the factors 1136,3376 . The biggest common factor number is the GCF number.
So the greatest common factor 1136,3376 is 16.
Lets's calculate LCM of 416,7727
Given numbers has no common factors except 1. So, there LCM is their product i.e 3214432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3214432
Therefore, the GCF of Fractions 1136/416,3376/7727 is 16/3214432
Least Common Multiple of 416,7727 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 416,7727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,7727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,7727) x common factors =1 x 1 = 1
LCM(416,7727) = ( 416 × 7727 ) / 1
LCM(416,7727) = 3214432 / 1
LCM(416,7727) = 3214432
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1136/416, 3376/7727
1. What is the HCF of 1136,3376?
The HCF of 1136,3376 is 16
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 1136/416, 3376/7727?
Answer: GCF of Numerators as per given numbers 1136/416, 3376/7727 is
GCF of Numerators i.e. for 1136,3376 is 16
LCM of denominators i.e. for 416,7727 is 3214432.
Thus, GCF of Fractions is 16/3214432.Finally, GCF of Fractions for 1136/416, 3376/7727 is 16/3214432.