GCF of 5999/709, 2912/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5999/709, 2912/122 i.e 7/86498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5999/709, 2912/122.
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 5999/709,2912/122?
Given fractions are 5999/709,2912/122
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 5999/709,2912/122, numerators are 5999,2912
Denominators are 709,122
The GCF of 5999,2912 is 7 .
LCM of 709,122 is 86498.
The greatest common factor of 5999/709,2912/122 = [GCF of 5999,2912]/[LCM of 709,122]= 7/86498
Therefore, the GCF of 5999/709,2912/122 is 7/86498.
To find the highest common factor of 5999,2912, we have to find the factors of both numbers and list the highest common factor.
The factors of 5999 are 1, 7, 857, 5999
The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912
The HCF of 5999,2912 is 7.
Lets's calculate GCF of 5999,2912
| 7 | 5999, 2912 |
| 857, 416 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5999,2912 By Matching Biggest Common Factor Method
Now, list down the factors of 5999
:1,7,857,5999
Now, list down the factors of 2912
:1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912
Greatest Common Factor
We found the factors 5999,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 5999,2912 is 7.
Lets's calculate LCM of 709,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 86498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/86498
Therefore, the GCF of Fractions 5999/709,2912/122 is 7/86498
Least Common Multiple of 709,122 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 709,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,122) x common factors =1 x 1 = 1
LCM(709,122) = ( 709 × 122 ) / 1
LCM(709,122) = 86498 / 1
LCM(709,122) = 86498
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5999/709, 2912/122
1. What is the HCF of 5999,2912?
The HCF of 5999,2912 is 7
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 5999/709, 2912/122?
Answer: GCF of Numerators as per given numbers 5999/709, 2912/122 is
GCF of Numerators i.e. for 5999,2912 is 7
LCM of denominators i.e. for 709,122 is 86498.
Thus, GCF of Fractions is 7/86498.Finally, GCF of Fractions for 5999/709, 2912/122 is 7/86498.