GCF of 8784/200, 4225/5314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8784/200, 4225/5314 i.e 1/531400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8784/200, 4225/5314.
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 8784/200,4225/5314?
Given fractions are 8784/200,4225/5314
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 8784/200,4225/5314, numerators are 8784,4225
Denominators are 200,5314
The GCF of 8784,4225 is 1 .
LCM of 200,5314 is 531400.
The greatest common factor of 8784/200,4225/5314 = [GCF of 8784,4225]/[LCM of 200,5314]= 1/531400
Therefore, the GCF of 8784/200,4225/5314 is 1/531400.
To find the highest common factor of 8784,4225, 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 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225
The HCF of 8784,4225 is 1.
Lets's calculate GCF of 8784,4225
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8784,4225 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 4225
:1,5,13,25,65,169,325,845,4225
Greatest Common Factor
We found the factors 8784,4225 . The biggest common factor number is the GCF number.
So the greatest common factor 8784,4225 is 1.
Lets's calculate LCM of 200,5314
| 2 | 200, 5314 |
| 100, 2657 |
∴ So the LCM of the given numbers is 2 x 100 x 2657 = 531400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/531400
Therefore, the GCF of Fractions 8784/200,4225/5314 is 1/531400
Least Common Multiple of 200,5314 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 200,5314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,5314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,5314) x common factors =2 x 1 = 2
LCM(200,5314) = ( 200 × 5314 ) / 2
LCM(200,5314) = 1062800 / 2
LCM(200,5314) = 531400
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FAQs on GCF of Fractions of 8784/200, 4225/5314
1. What is the HCF of 8784,4225?
The HCF of 8784,4225 is 1
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 8784/200, 4225/5314?
Answer: GCF of Numerators as per given numbers 8784/200, 4225/5314 is
GCF of Numerators i.e. for 8784,4225 is 1
LCM of denominators i.e. for 200,5314 is 531400.
Thus, GCF of Fractions is 1/531400.Finally, GCF of Fractions for 8784/200, 4225/5314 is 1/531400.