GCF of 152/944, 7404/9300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 152/944, 7404/9300 i.e 4/2194800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/944, 7404/9300.
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 152/944,7404/9300?
Given fractions are 152/944,7404/9300
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 152/944,7404/9300, numerators are 152,7404
Denominators are 944,9300
The GCF of 152,7404 is 4 .
LCM of 944,9300 is 2194800.
The greatest common factor of 152/944,7404/9300 = [GCF of 152,7404]/[LCM of 944,9300]= 4/2194800
Therefore, the GCF of 152/944,7404/9300 is 4/2194800.
To find the highest common factor of 152,7404, we have to find the factors of both numbers and list the highest common factor.
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404
The HCF of 152,7404 is 4.
Lets's calculate GCF of 152,7404
| 2 | 152, 7404 |
| 2 | 76, 3702 |
| 38, 1851 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 152,7404 By Matching Biggest Common Factor Method
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Now, list down the factors of 7404
:1,2,3,4,6,12,617,1234,1851,2468,3702,7404
Greatest Common Factor
We found the factors 152,7404 . The biggest common factor number is the GCF number.
So the greatest common factor 152,7404 is 4.
Lets's calculate LCM of 944,9300
| 2 | 944, 9300 |
| 2 | 472, 4650 |
| 236, 2325 |
∴ So the LCM of the given numbers is 2 x 2 x 236 x 2325 = 2194800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2194800
Therefore, the GCF of Fractions 152/944,7404/9300 is 4/2194800
Least Common Multiple of 944,9300 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 944,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,9300) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(944,9300) x common factors =4 x 1 = 4
LCM(944,9300) = ( 944 × 9300 ) / 4
LCM(944,9300) = 8779200 / 4
LCM(944,9300) = 2194800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 152/944, 7404/9300
1. What is the HCF of 152,7404?
The HCF of 152,7404 is 4
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 152/944, 7404/9300?
Answer: GCF of Numerators as per given numbers 152/944, 7404/9300 is
GCF of Numerators i.e. for 152,7404 is 4
LCM of denominators i.e. for 944,9300 is 2194800.
Thus, GCF of Fractions is 4/2194800.Finally, GCF of Fractions for 152/944, 7404/9300 is 4/2194800.