GCF of 2784/478, 8472/1817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2784/478, 8472/1817 i.e 24/868526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2784/478, 8472/1817.
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 2784/478,8472/1817?
Given fractions are 2784/478,8472/1817
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 2784/478,8472/1817, numerators are 2784,8472
Denominators are 478,1817
The GCF of 2784,8472 is 24 .
LCM of 478,1817 is 868526.
The greatest common factor of 2784/478,8472/1817 = [GCF of 2784,8472]/[LCM of 478,1817]= 24/868526
Therefore, the GCF of 2784/478,8472/1817 is 24/868526.
To find the highest common factor of 2784,8472, we have to find the factors of both numbers and list the highest common factor.
The factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784
The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The HCF of 2784,8472 is 24.
Lets's calculate GCF of 2784,8472
| 2 | 2784, 8472 |
| 2 | 1392, 4236 |
| 2 | 696, 2118 |
| 3 | 348, 1059 |
| 116, 353 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 2784,8472 By Matching Biggest Common Factor Method
Now, list down the factors of 2784
:1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Greatest Common Factor
We found the factors 2784,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 2784,8472 is 24.
Lets's calculate LCM of 478,1817
Given numbers has no common factors except 1. So, there LCM is their product i.e 868526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/868526
Therefore, the GCF of Fractions 2784/478,8472/1817 is 24/868526
Least Common Multiple of 478,1817 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 478,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,1817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,1817) x common factors =1 x 1 = 1
LCM(478,1817) = ( 478 × 1817 ) / 1
LCM(478,1817) = 868526 / 1
LCM(478,1817) = 868526
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FAQs on GCF of Fractions of 2784/478, 8472/1817
1. What is the HCF of 2784,8472?
The HCF of 2784,8472 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 2784/478, 8472/1817?
Answer: GCF of Numerators as per given numbers 2784/478, 8472/1817 is
GCF of Numerators i.e. for 2784,8472 is 24
LCM of denominators i.e. for 478,1817 is 868526.
Thus, GCF of Fractions is 24/868526.Finally, GCF of Fractions for 2784/478, 8472/1817 is 24/868526.