GCF of 696/723, 9024/306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 696/723, 9024/306 i.e 24/73746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 696/723, 9024/306.
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 696/723,9024/306?
Given fractions are 696/723,9024/306
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 696/723,9024/306, numerators are 696,9024
Denominators are 723,306
The GCF of 696,9024 is 24 .
LCM of 723,306 is 73746.
The greatest common factor of 696/723,9024/306 = [GCF of 696,9024]/[LCM of 723,306]= 24/73746
Therefore, the GCF of 696/723,9024/306 is 24/73746.
To find the highest common factor of 696,9024, we have to find the factors of both numbers and list the highest common factor.
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024
The HCF of 696,9024 is 24.
Lets's calculate GCF of 696,9024
| 2 | 696, 9024 |
| 2 | 348, 4512 |
| 2 | 174, 2256 |
| 3 | 87, 1128 |
| 29, 376 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 696,9024 By Matching Biggest Common Factor Method
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Now, list down the factors of 9024
:1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024
Greatest Common Factor
We found the factors 696,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 696,9024 is 24.
Lets's calculate LCM of 723,306
| 3 | 723, 306 |
| 241, 102 |
∴ So the LCM of the given numbers is 3 x 241 x 102 = 73746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/73746
Therefore, the GCF of Fractions 696/723,9024/306 is 24/73746
Least Common Multiple of 723,306 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 723,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,306) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,306) x common factors =3 x 1 = 3
LCM(723,306) = ( 723 × 306 ) / 3
LCM(723,306) = 221238 / 3
LCM(723,306) = 73746
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FAQs on GCF of Fractions of 696/723, 9024/306
1. What is the HCF of 696,9024?
The HCF of 696,9024 is 24
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 696/723, 9024/306?
Answer: GCF of Numerators as per given numbers 696/723, 9024/306 is
GCF of Numerators i.e. for 696,9024 is 24
LCM of denominators i.e. for 723,306 is 73746.
Thus, GCF of Fractions is 24/73746.Finally, GCF of Fractions for 696/723, 9024/306 is 24/73746.