GCF of 4502/256, 5016/394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4502/256, 5016/394 i.e 2/50432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4502/256, 5016/394.
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 4502/256,5016/394?
Given fractions are 4502/256,5016/394
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 4502/256,5016/394, numerators are 4502,5016
Denominators are 256,394
The GCF of 4502,5016 is 2 .
LCM of 256,394 is 50432.
The greatest common factor of 4502/256,5016/394 = [GCF of 4502,5016]/[LCM of 256,394]= 2/50432
Therefore, the GCF of 4502/256,5016/394 is 2/50432.
To find the highest common factor of 4502,5016, we have to find the factors of both numbers and list the highest common factor.
The factors of 4502 are 1, 2, 2251, 4502
The factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016
The HCF of 4502,5016 is 2.
Lets's calculate GCF of 4502,5016
| 2 | 4502, 5016 |
| 2251, 2508 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4502,5016 By Matching Biggest Common Factor Method
Now, list down the factors of 4502
:1,2,2251,4502
Now, list down the factors of 5016
:1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016
Greatest Common Factor
We found the factors 4502,5016 . The biggest common factor number is the GCF number.
So the greatest common factor 4502,5016 is 2.
Lets's calculate LCM of 256,394
| 2 | 256, 394 |
| 128, 197 |
∴ So the LCM of the given numbers is 2 x 128 x 197 = 50432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50432
Therefore, the GCF of Fractions 4502/256,5016/394 is 2/50432
Least Common Multiple of 256,394 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 256,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,394) x common factors =2 x 1 = 2
LCM(256,394) = ( 256 × 394 ) / 2
LCM(256,394) = 100864 / 2
LCM(256,394) = 50432
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FAQs on GCF of Fractions of 4502/256, 5016/394
1. What is the HCF of 4502,5016?
The HCF of 4502,5016 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 4502/256, 5016/394?
Answer: GCF of Numerators as per given numbers 4502/256, 5016/394 is
GCF of Numerators i.e. for 4502,5016 is 2
LCM of denominators i.e. for 256,394 is 50432.
Thus, GCF of Fractions is 2/50432.Finally, GCF of Fractions for 4502/256, 5016/394 is 2/50432.