GCF of 924/286, 1404/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 924/286, 1404/300 i.e 12/42900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/286, 1404/300.
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 924/286,1404/300?
Given fractions are 924/286,1404/300
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 924/286,1404/300, numerators are 924,1404
Denominators are 286,300
The GCF of 924,1404 is 12 .
LCM of 286,300 is 42900.
The greatest common factor of 924/286,1404/300 = [GCF of 924,1404]/[LCM of 286,300]= 12/42900
Therefore, the GCF of 924/286,1404/300 is 12/42900.
To find the highest common factor of 924,1404, we have to find the factors of both numbers and list the highest common factor.
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404
The HCF of 924,1404 is 12.
Lets's calculate GCF of 924,1404
| 2 | 924, 1404 |
| 2 | 462, 702 |
| 3 | 231, 351 |
| 77, 117 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 924,1404 By Matching Biggest Common Factor Method
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 1404
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Greatest Common Factor
We found the factors 924,1404 . The biggest common factor number is the GCF number.
So the greatest common factor 924,1404 is 12.
Lets's calculate LCM of 286,300
| 2 | 286, 300 |
| 143, 150 |
∴ So the LCM of the given numbers is 2 x 143 x 150 = 42900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/42900
Therefore, the GCF of Fractions 924/286,1404/300 is 12/42900
Least Common Multiple of 286,300 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 286,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,300) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,300) x common factors =2 x 1 = 2
LCM(286,300) = ( 286 × 300 ) / 2
LCM(286,300) = 85800 / 2
LCM(286,300) = 42900
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 924/286, 1404/300
1. What is the HCF of 924,1404?
The HCF of 924,1404 is 12
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 924/286, 1404/300?
Answer: GCF of Numerators as per given numbers 924/286, 1404/300 is
GCF of Numerators i.e. for 924,1404 is 12
LCM of denominators i.e. for 286,300 is 42900.
Thus, GCF of Fractions is 12/42900.Finally, GCF of Fractions for 924/286, 1404/300 is 12/42900.