GCF of 7/33, 96/55, 69/900, 285/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7/33, 96/55, 69/900, 285/719 i.e 1/7118100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/33, 96/55, 69/900, 285/719.
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 7/33,96/55,69/900,285/719?
Given fractions are 7/33,96/55,69/900,285/719
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 7/33,96/55,69/900,285/719, numerators are 7,96,69,285
Denominators are 33,55,900,719
The GCF of 7,96,69,285 is 1 .
LCM of 33,55,900,719 is 7118100.
The greatest common factor of 7/33,96/55,69/900,285/719 = [GCF of 7,96,69,285]/[LCM of 33,55,900,719]= 1/7118100
Therefore, the GCF of 7/33,96/55,69/900,285/719 is 1/7118100.
To find the highest common factor of 7,96,69,285, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 69 are 1, 3, 23, 69
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The HCF of 7,96,69,285 is 1.
Lets's calculate GCF of 7,96,69,285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7,96,69,285 By Matching Biggest Common Factor Method
Now, list down the factors of 7
:1,7
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 7,96,69,285 . The biggest common factor number is the GCF number.
So the greatest common factor 7,96,69,285 is 1.
Lets's calculate LCM of 33,55,900,719
| 3 | 33, 55, 900, 719 |
| 5 | 11, 55, 300, 719 |
| 11 | 11, 11, 60, 719 |
| 1, 1, 60, 719 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 1 x 60 x 719 = 7118100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7118100
Therefore, the GCF of Fractions 7/33,96/55,69/900,285/719 is 1/7118100
Least Common Multiple of 33,55,900,719 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 33,55,900,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,55,900,719) = 1
common factors(in case of two or more numbers have common factors) = 165
GCF(33,55,900,719) x common factors =1 x 165 = 165
LCM(33,55,900,719) = ( 33 × 55 × 900 × 719 ) / 165
LCM(33,55,900,719) = 1174486500 / 165
LCM(33,55,900,719) = 7118100
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7/33, 96/55, 69/900, 285/719
1. What is the HCF of 7,96,69,285?
The HCF of 7,96,69,285 is 1
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 7/33, 96/55, 69/900, 285/719?
Answer: GCF of Numerators as per given numbers 7/33, 96/55, 69/900, 285/719 is
GCF of Numerators i.e. for 7,96,69,285 is 1
LCM of denominators i.e. for 33,55,900,719 is 7118100.
Thus, GCF of Fractions is 1/7118100.Finally, GCF of Fractions for 7/33, 96/55, 69/900, 285/719 is 1/7118100.