GCF of 4859/468, 3376/5308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4859/468, 3376/5308 i.e 1/621036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4859/468, 3376/5308.
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 4859/468,3376/5308?
Given fractions are 4859/468,3376/5308
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 4859/468,3376/5308, numerators are 4859,3376
Denominators are 468,5308
The GCF of 4859,3376 is 1 .
LCM of 468,5308 is 621036.
The greatest common factor of 4859/468,3376/5308 = [GCF of 4859,3376]/[LCM of 468,5308]= 1/621036
Therefore, the GCF of 4859/468,3376/5308 is 1/621036.
To find the highest common factor of 4859,3376, we have to find the factors of both numbers and list the highest common factor.
The factors of 4859 are 1, 43, 113, 4859
The factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376
The HCF of 4859,3376 is 1.
Lets's calculate GCF of 4859,3376
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4859,3376 By Matching Biggest Common Factor Method
Now, list down the factors of 4859
:1,43,113,4859
Now, list down the factors of 3376
:1,2,4,8,16,211,422,844,1688,3376
Greatest Common Factor
We found the factors 4859,3376 . The biggest common factor number is the GCF number.
So the greatest common factor 4859,3376 is 1.
Lets's calculate LCM of 468,5308
| 2 | 468, 5308 |
| 2 | 234, 2654 |
| 117, 1327 |
∴ So the LCM of the given numbers is 2 x 2 x 117 x 1327 = 621036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621036
Therefore, the GCF of Fractions 4859/468,3376/5308 is 1/621036
Least Common Multiple of 468,5308 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 468,5308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,5308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(468,5308) x common factors =4 x 1 = 4
LCM(468,5308) = ( 468 × 5308 ) / 4
LCM(468,5308) = 2484144 / 4
LCM(468,5308) = 621036
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FAQs on GCF of Fractions of 4859/468, 3376/5308
1. What is the HCF of 4859,3376?
The HCF of 4859,3376 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 4859/468, 3376/5308?
Answer: GCF of Numerators as per given numbers 4859/468, 3376/5308 is
GCF of Numerators i.e. for 4859,3376 is 1
LCM of denominators i.e. for 468,5308 is 621036.
Thus, GCF of Fractions is 1/621036.Finally, GCF of Fractions for 4859/468, 3376/5308 is 1/621036.