GCF of 8784/802, 2024/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8784/802, 2024/960 i.e 8/384960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8784/802, 2024/960.
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 8784/802,2024/960?
Given fractions are 8784/802,2024/960
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 8784/802,2024/960, numerators are 8784,2024
Denominators are 802,960
The GCF of 8784,2024 is 8 .
LCM of 802,960 is 384960.
The greatest common factor of 8784/802,2024/960 = [GCF of 8784,2024]/[LCM of 802,960]= 8/384960
Therefore, the GCF of 8784/802,2024/960 is 8/384960.
To find the highest common factor of 8784,2024, we have to find the factors of both numbers and list the highest common factor.
The factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784
The factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
The HCF of 8784,2024 is 8.
Lets's calculate GCF of 8784,2024
| 2 | 8784, 2024 |
| 2 | 4392, 1012 |
| 2 | 2196, 506 |
| 1098, 253 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8784,2024 By Matching Biggest Common Factor Method
Now, list down the factors of 8784
:1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784
Now, list down the factors of 2024
:1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Greatest Common Factor
We found the factors 8784,2024 . The biggest common factor number is the GCF number.
So the greatest common factor 8784,2024 is 8.
Lets's calculate LCM of 802,960
| 2 | 802, 960 |
| 401, 480 |
∴ So the LCM of the given numbers is 2 x 401 x 480 = 384960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/384960
Therefore, the GCF of Fractions 8784/802,2024/960 is 8/384960
Least Common Multiple of 802,960 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 802,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,960) x common factors =2 x 1 = 2
LCM(802,960) = ( 802 × 960 ) / 2
LCM(802,960) = 769920 / 2
LCM(802,960) = 384960
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FAQs on GCF of Fractions of 8784/802, 2024/960
1. What is the HCF of 8784,2024?
The HCF of 8784,2024 is 8
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 8784/802, 2024/960?
Answer: GCF of Numerators as per given numbers 8784/802, 2024/960 is
GCF of Numerators i.e. for 8784,2024 is 8
LCM of denominators i.e. for 802,960 is 384960.
Thus, GCF of Fractions is 8/384960.Finally, GCF of Fractions for 8784/802, 2024/960 is 8/384960.