GCF of 4615/996, 8236/1284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4615/996, 8236/1284 i.e 71/106572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4615/996, 8236/1284.
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 4615/996,8236/1284?
Given fractions are 4615/996,8236/1284
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 4615/996,8236/1284, numerators are 4615,8236
Denominators are 996,1284
The GCF of 4615,8236 is 71 .
LCM of 996,1284 is 106572.
The greatest common factor of 4615/996,8236/1284 = [GCF of 4615,8236]/[LCM of 996,1284]= 71/106572
Therefore, the GCF of 4615/996,8236/1284 is 71/106572.
To find the highest common factor of 4615,8236, we have to find the factors of both numbers and list the highest common factor.
The factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615
The factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236
The HCF of 4615,8236 is 71.
Lets's calculate GCF of 4615,8236
| 71 | 4615, 8236 |
| 65, 116 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 4615,8236 By Matching Biggest Common Factor Method
Now, list down the factors of 4615
:1,5,13,65,71,355,923,4615
Now, list down the factors of 8236
:1,2,4,29,58,71,116,142,284,2059,4118,8236
Greatest Common Factor
We found the factors 4615,8236 . The biggest common factor number is the GCF number.
So the greatest common factor 4615,8236 is 71.
Lets's calculate LCM of 996,1284
| 2 | 996, 1284 |
| 2 | 498, 642 |
| 3 | 249, 321 |
| 83, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 107 = 106572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/106572
Therefore, the GCF of Fractions 4615/996,8236/1284 is 71/106572
Least Common Multiple of 996,1284 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 996,1284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,1284) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(996,1284) x common factors =12 x 1 = 12
LCM(996,1284) = ( 996 × 1284 ) / 12
LCM(996,1284) = 1278864 / 12
LCM(996,1284) = 106572
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FAQs on GCF of Fractions of 4615/996, 8236/1284
1. What is the HCF of 4615,8236?
The HCF of 4615,8236 is 71
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 4615/996, 8236/1284?
Answer: GCF of Numerators as per given numbers 4615/996, 8236/1284 is
GCF of Numerators i.e. for 4615,8236 is 71
LCM of denominators i.e. for 996,1284 is 106572.
Thus, GCF of Fractions is 71/106572.Finally, GCF of Fractions for 4615/996, 8236/1284 is 71/106572.