GCF of 8938/219, 2912/5284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8938/219, 2912/5284 i.e 2/1157196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8938/219, 2912/5284.
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 8938/219,2912/5284?
Given fractions are 8938/219,2912/5284
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 8938/219,2912/5284, numerators are 8938,2912
Denominators are 219,5284
The GCF of 8938,2912 is 2 .
LCM of 219,5284 is 1157196.
The greatest common factor of 8938/219,2912/5284 = [GCF of 8938,2912]/[LCM of 219,5284]= 2/1157196
Therefore, the GCF of 8938/219,2912/5284 is 2/1157196.
To find the highest common factor of 8938,2912, we have to find the factors of both numbers and list the highest common factor.
The factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938
The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912
The HCF of 8938,2912 is 2.
Lets's calculate GCF of 8938,2912
| 2 | 8938, 2912 |
| 4469, 1456 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8938,2912 By Matching Biggest Common Factor Method
Now, list down the factors of 8938
:1,2,41,82,109,218,4469,8938
Now, list down the factors of 2912
:1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912
Greatest Common Factor
We found the factors 8938,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 8938,2912 is 2.
Lets's calculate LCM of 219,5284
Given numbers has no common factors except 1. So, there LCM is their product i.e 1157196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1157196
Therefore, the GCF of Fractions 8938/219,2912/5284 is 2/1157196
Least Common Multiple of 219,5284 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 219,5284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,5284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,5284) x common factors =1 x 1 = 1
LCM(219,5284) = ( 219 × 5284 ) / 1
LCM(219,5284) = 1157196 / 1
LCM(219,5284) = 1157196
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FAQs on GCF of Fractions of 8938/219, 2912/5284
1. What is the HCF of 8938,2912?
The HCF of 8938,2912 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 8938/219, 2912/5284?
Answer: GCF of Numerators as per given numbers 8938/219, 2912/5284 is
GCF of Numerators i.e. for 8938,2912 is 2
LCM of denominators i.e. for 219,5284 is 1157196.
Thus, GCF of Fractions is 2/1157196.Finally, GCF of Fractions for 8938/219, 2912/5284 is 2/1157196.