GCF of 5832/105, 8922/1556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5832/105, 8922/1556 i.e 6/163380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5832/105, 8922/1556.
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 5832/105,8922/1556?
Given fractions are 5832/105,8922/1556
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 5832/105,8922/1556, numerators are 5832,8922
Denominators are 105,1556
The GCF of 5832,8922 is 6 .
LCM of 105,1556 is 163380.
The greatest common factor of 5832/105,8922/1556 = [GCF of 5832,8922]/[LCM of 105,1556]= 6/163380
Therefore, the GCF of 5832/105,8922/1556 is 6/163380.
To find the highest common factor of 5832,8922, we have to find the factors of both numbers and list the highest common factor.
The factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832
The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The HCF of 5832,8922 is 6.
Lets's calculate GCF of 5832,8922
| 2 | 5832, 8922 |
| 3 | 2916, 4461 |
| 972, 1487 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5832,8922 By Matching Biggest Common Factor Method
Now, list down the factors of 5832
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832
Now, list down the factors of 8922
:1,2,3,6,1487,2974,4461,8922
Greatest Common Factor
We found the factors 5832,8922 . The biggest common factor number is the GCF number.
So the greatest common factor 5832,8922 is 6.
Lets's calculate LCM of 105,1556
Given numbers has no common factors except 1. So, there LCM is their product i.e 163380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/163380
Therefore, the GCF of Fractions 5832/105,8922/1556 is 6/163380
Least Common Multiple of 105,1556 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 105,1556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,1556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,1556) x common factors =1 x 1 = 1
LCM(105,1556) = ( 105 × 1556 ) / 1
LCM(105,1556) = 163380 / 1
LCM(105,1556) = 163380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5832/105, 8922/1556
1. What is the HCF of 5832,8922?
The HCF of 5832,8922 is 6
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 5832/105, 8922/1556?
Answer: GCF of Numerators as per given numbers 5832/105, 8922/1556 is
GCF of Numerators i.e. for 5832,8922 is 6
LCM of denominators i.e. for 105,1556 is 163380.
Thus, GCF of Fractions is 6/163380.Finally, GCF of Fractions for 5832/105, 8922/1556 is 6/163380.