GCF of 4835/278, 5663/8276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4835/278, 5663/8276 i.e 1/1150364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4835/278, 5663/8276.
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 4835/278,5663/8276?
Given fractions are 4835/278,5663/8276
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 4835/278,5663/8276, numerators are 4835,5663
Denominators are 278,8276
The GCF of 4835,5663 is 1 .
LCM of 278,8276 is 1150364.
The greatest common factor of 4835/278,5663/8276 = [GCF of 4835,5663]/[LCM of 278,8276]= 1/1150364
Therefore, the GCF of 4835/278,5663/8276 is 1/1150364.
To find the highest common factor of 4835,5663, we have to find the factors of both numbers and list the highest common factor.
The factors of 4835 are 1, 5, 967, 4835
The factors of 5663 are 1, 7, 809, 5663
The HCF of 4835,5663 is 1.
Lets's calculate GCF of 4835,5663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4835,5663 By Matching Biggest Common Factor Method
Now, list down the factors of 4835
:1,5,967,4835
Now, list down the factors of 5663
:1,7,809,5663
Greatest Common Factor
We found the factors 4835,5663 . The biggest common factor number is the GCF number.
So the greatest common factor 4835,5663 is 1.
Lets's calculate LCM of 278,8276
| 2 | 278, 8276 |
| 139, 4138 |
∴ So the LCM of the given numbers is 2 x 139 x 4138 = 1150364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1150364
Therefore, the GCF of Fractions 4835/278,5663/8276 is 1/1150364
Least Common Multiple of 278,8276 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 278,8276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,8276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,8276) x common factors =2 x 1 = 2
LCM(278,8276) = ( 278 × 8276 ) / 2
LCM(278,8276) = 2300728 / 2
LCM(278,8276) = 1150364
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4835/278, 5663/8276
1. What is the HCF of 4835,5663?
The HCF of 4835,5663 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 4835/278, 5663/8276?
Answer: GCF of Numerators as per given numbers 4835/278, 5663/8276 is
GCF of Numerators i.e. for 4835,5663 is 1
LCM of denominators i.e. for 278,8276 is 1150364.
Thus, GCF of Fractions is 1/1150364.Finally, GCF of Fractions for 4835/278, 5663/8276 is 1/1150364.