GCF of 8284/642, 4796/4546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8284/642, 4796/4546 i.e 436/1459266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8284/642, 4796/4546.
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 8284/642,4796/4546?
Given fractions are 8284/642,4796/4546
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 8284/642,4796/4546, numerators are 8284,4796
Denominators are 642,4546
The GCF of 8284,4796 is 436 .
LCM of 642,4546 is 1459266.
The greatest common factor of 8284/642,4796/4546 = [GCF of 8284,4796]/[LCM of 642,4546]= 436/1459266
Therefore, the GCF of 8284/642,4796/4546 is 436/1459266.
To find the highest common factor of 8284,4796, we have to find the factors of both numbers and list the highest common factor.
The factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284
The factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796
The HCF of 8284,4796 is 436.
Lets's calculate GCF of 8284,4796
| 2 | 8284, 4796 |
| 2 | 4142, 2398 |
| 109 | 2071, 1199 |
| 19, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 109 = 436
Greatest Common Factor of 8284,4796 By Matching Biggest Common Factor Method
Now, list down the factors of 8284
:1,2,4,19,38,76,109,218,436,2071,4142,8284
Now, list down the factors of 4796
:1,2,4,11,22,44,109,218,436,1199,2398,4796
Greatest Common Factor
We found the factors 8284,4796 . The biggest common factor number is the GCF number.
So the greatest common factor 8284,4796 is 436.
Lets's calculate LCM of 642,4546
| 2 | 642, 4546 |
| 321, 2273 |
∴ So the LCM of the given numbers is 2 x 321 x 2273 = 1459266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 436/1459266
Therefore, the GCF of Fractions 8284/642,4796/4546 is 436/1459266
Least Common Multiple of 642,4546 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 642,4546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,4546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,4546) x common factors =2 x 1 = 2
LCM(642,4546) = ( 642 × 4546 ) / 2
LCM(642,4546) = 2918532 / 2
LCM(642,4546) = 1459266
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FAQs on GCF of Fractions of 8284/642, 4796/4546
1. What is the HCF of 8284,4796?
The HCF of 8284,4796 is 436
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 8284/642, 4796/4546?
Answer: GCF of Numerators as per given numbers 8284/642, 4796/4546 is
GCF of Numerators i.e. for 8284,4796 is 436
LCM of denominators i.e. for 642,4546 is 1459266.
Thus, GCF of Fractions is 436/1459266.Finally, GCF of Fractions for 8284/642, 4796/4546 is 436/1459266.