GCF of 8784/203, 8950/8179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8784/203, 8950/8179 i.e 2/1660337 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8784/203, 8950/8179.
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 8784/203,8950/8179?
Given fractions are 8784/203,8950/8179
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 8784/203,8950/8179, numerators are 8784,8950
Denominators are 203,8179
The GCF of 8784,8950 is 2 .
LCM of 203,8179 is 1660337.
The greatest common factor of 8784/203,8950/8179 = [GCF of 8784,8950]/[LCM of 203,8179]= 2/1660337
Therefore, the GCF of 8784/203,8950/8179 is 2/1660337.
To find the highest common factor of 8784,8950, 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 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950
The HCF of 8784,8950 is 2.
Lets's calculate GCF of 8784,8950
| 2 | 8784, 8950 |
| 4392, 4475 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8784,8950 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 8950
:1,2,5,10,25,50,179,358,895,1790,4475,8950
Greatest Common Factor
We found the factors 8784,8950 . The biggest common factor number is the GCF number.
So the greatest common factor 8784,8950 is 2.
Lets's calculate LCM of 203,8179
Given numbers has no common factors except 1. So, there LCM is their product i.e 1660337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1660337
Therefore, the GCF of Fractions 8784/203,8950/8179 is 2/1660337
Least Common Multiple of 203,8179 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 203,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,8179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,8179) x common factors =1 x 1 = 1
LCM(203,8179) = ( 203 × 8179 ) / 1
LCM(203,8179) = 1660337 / 1
LCM(203,8179) = 1660337
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FAQs on GCF of Fractions of 8784/203, 8950/8179
1. What is the HCF of 8784,8950?
The HCF of 8784,8950 is 2
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 8784/203, 8950/8179?
Answer: GCF of Numerators as per given numbers 8784/203, 8950/8179 is
GCF of Numerators i.e. for 8784,8950 is 2
LCM of denominators i.e. for 203,8179 is 1660337.
Thus, GCF of Fractions is 2/1660337.Finally, GCF of Fractions for 8784/203, 8950/8179 is 2/1660337.