GCF of 4882/131, 5472/4619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4882/131, 5472/4619 i.e 2/605089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4882/131, 5472/4619.
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 4882/131,5472/4619?
Given fractions are 4882/131,5472/4619
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 4882/131,5472/4619, numerators are 4882,5472
Denominators are 131,4619
The GCF of 4882,5472 is 2 .
LCM of 131,4619 is 605089.
The greatest common factor of 4882/131,5472/4619 = [GCF of 4882,5472]/[LCM of 131,4619]= 2/605089
Therefore, the GCF of 4882/131,5472/4619 is 2/605089.
To find the highest common factor of 4882,5472, we have to find the factors of both numbers and list the highest common factor.
The factors of 4882 are 1, 2, 2441, 4882
The factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472
The HCF of 4882,5472 is 2.
Lets's calculate GCF of 4882,5472
| 2 | 4882, 5472 |
| 2441, 2736 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4882,5472 By Matching Biggest Common Factor Method
Now, list down the factors of 4882
:1,2,2441,4882
Now, list down the factors of 5472
:1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472
Greatest Common Factor
We found the factors 4882,5472 . The biggest common factor number is the GCF number.
So the greatest common factor 4882,5472 is 2.
Lets's calculate LCM of 131,4619
Given numbers has no common factors except 1. So, there LCM is their product i.e 605089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/605089
Therefore, the GCF of Fractions 4882/131,5472/4619 is 2/605089
Least Common Multiple of 131,4619 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 131,4619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,4619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,4619) x common factors =1 x 1 = 1
LCM(131,4619) = ( 131 × 4619 ) / 1
LCM(131,4619) = 605089 / 1
LCM(131,4619) = 605089
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4882/131, 5472/4619
1. What is the HCF of 4882,5472?
The HCF of 4882,5472 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 4882/131, 5472/4619?
Answer: GCF of Numerators as per given numbers 4882/131, 5472/4619 is
GCF of Numerators i.e. for 4882,5472 is 2
LCM of denominators i.e. for 131,4619 is 605089.
Thus, GCF of Fractions is 2/605089.Finally, GCF of Fractions for 4882/131, 5472/4619 is 2/605089.