GCF of 4885/842, 8283/8616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4885/842, 8283/8616 i.e 1/3627336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4885/842, 8283/8616.
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 4885/842,8283/8616?
Given fractions are 4885/842,8283/8616
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 4885/842,8283/8616, numerators are 4885,8283
Denominators are 842,8616
The GCF of 4885,8283 is 1 .
LCM of 842,8616 is 3627336.
The greatest common factor of 4885/842,8283/8616 = [GCF of 4885,8283]/[LCM of 842,8616]= 1/3627336
Therefore, the GCF of 4885/842,8283/8616 is 1/3627336.
To find the highest common factor of 4885,8283, we have to find the factors of both numbers and list the highest common factor.
The factors of 4885 are 1, 5, 977, 4885
The factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283
The HCF of 4885,8283 is 1.
Lets's calculate GCF of 4885,8283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4885,8283 By Matching Biggest Common Factor Method
Now, list down the factors of 4885
:1,5,977,4885
Now, list down the factors of 8283
:1,3,11,33,251,753,2761,8283
Greatest Common Factor
We found the factors 4885,8283 . The biggest common factor number is the GCF number.
So the greatest common factor 4885,8283 is 1.
Lets's calculate LCM of 842,8616
| 2 | 842, 8616 |
| 421, 4308 |
∴ So the LCM of the given numbers is 2 x 421 x 4308 = 3627336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3627336
Therefore, the GCF of Fractions 4885/842,8283/8616 is 1/3627336
Least Common Multiple of 842,8616 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 842,8616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,8616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,8616) x common factors =2 x 1 = 2
LCM(842,8616) = ( 842 × 8616 ) / 2
LCM(842,8616) = 7254672 / 2
LCM(842,8616) = 3627336
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FAQs on GCF of Fractions of 4885/842, 8283/8616
1. What is the HCF of 4885,8283?
The HCF of 4885,8283 is 1
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 4885/842, 8283/8616?
Answer: GCF of Numerators as per given numbers 4885/842, 8283/8616 is
GCF of Numerators i.e. for 4885,8283 is 1
LCM of denominators i.e. for 842,8616 is 3627336.
Thus, GCF of Fractions is 1/3627336.Finally, GCF of Fractions for 4885/842, 8283/8616 is 1/3627336.