GCF of 5025/618, 1103/2472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5025/618, 1103/2472 i.e 1/2472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5025/618, 1103/2472.
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 5025/618,1103/2472?
Given fractions are 5025/618,1103/2472
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 5025/618,1103/2472, numerators are 5025,1103
Denominators are 618,2472
The GCF of 5025,1103 is 1 .
LCM of 618,2472 is 2472.
The greatest common factor of 5025/618,1103/2472 = [GCF of 5025,1103]/[LCM of 618,2472]= 1/2472
Therefore, the GCF of 5025/618,1103/2472 is 1/2472.
To find the highest common factor of 5025,1103, we have to find the factors of both numbers and list the highest common factor.
The factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025
The factors of 1103 are 1, 1103
The HCF of 5025,1103 is 1.
Lets's calculate GCF of 5025,1103
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5025,1103 By Matching Biggest Common Factor Method
Now, list down the factors of 5025
:1,3,5,15,25,67,75,201,335,1005,1675,5025
Now, list down the factors of 1103
:1,1103
Greatest Common Factor
We found the factors 5025,1103 . The biggest common factor number is the GCF number.
So the greatest common factor 5025,1103 is 1.
Lets's calculate LCM of 618,2472
| 2 | 618, 2472 |
| 3 | 309, 1236 |
| 103 | 103, 412 |
| 1, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 1 x 4 = 2472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2472
Therefore, the GCF of Fractions 5025/618,1103/2472 is 1/2472
Least Common Multiple of 618,2472 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 618,2472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,2472) = 618
common factors(in case of two or more numbers have common factors) = 1
GCF(618,2472) x common factors =618 x 1 = 618
LCM(618,2472) = ( 618 × 2472 ) / 618
LCM(618,2472) = 1527696 / 618
LCM(618,2472) = 2472
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FAQs on GCF of Fractions of 5025/618, 1103/2472
1. What is the HCF of 5025,1103?
The HCF of 5025,1103 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 5025/618, 1103/2472?
Answer: GCF of Numerators as per given numbers 5025/618, 1103/2472 is
GCF of Numerators i.e. for 5025,1103 is 1
LCM of denominators i.e. for 618,2472 is 2472.
Thus, GCF of Fractions is 1/2472.Finally, GCF of Fractions for 5025/618, 1103/2472 is 1/2472.