GCF of 5048/641, 6052/6624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5048/641, 6052/6624 i.e 4/4245984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5048/641, 6052/6624.
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 5048/641,6052/6624?
Given fractions are 5048/641,6052/6624
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 5048/641,6052/6624, numerators are 5048,6052
Denominators are 641,6624
The GCF of 5048,6052 is 4 .
LCM of 641,6624 is 4245984.
The greatest common factor of 5048/641,6052/6624 = [GCF of 5048,6052]/[LCM of 641,6624]= 4/4245984
Therefore, the GCF of 5048/641,6052/6624 is 4/4245984.
To find the highest common factor of 5048,6052, we have to find the factors of both numbers and list the highest common factor.
The factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048
The factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052
The HCF of 5048,6052 is 4.
Lets's calculate GCF of 5048,6052
| 2 | 5048, 6052 |
| 2 | 2524, 3026 |
| 1262, 1513 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5048,6052 By Matching Biggest Common Factor Method
Now, list down the factors of 5048
:1,2,4,8,631,1262,2524,5048
Now, list down the factors of 6052
:1,2,4,17,34,68,89,178,356,1513,3026,6052
Greatest Common Factor
We found the factors 5048,6052 . The biggest common factor number is the GCF number.
So the greatest common factor 5048,6052 is 4.
Lets's calculate LCM of 641,6624
Given numbers has no common factors except 1. So, there LCM is their product i.e 4245984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4245984
Therefore, the GCF of Fractions 5048/641,6052/6624 is 4/4245984
Least Common Multiple of 641,6624 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 641,6624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,6624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,6624) x common factors =1 x 1 = 1
LCM(641,6624) = ( 641 × 6624 ) / 1
LCM(641,6624) = 4245984 / 1
LCM(641,6624) = 4245984
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5048/641, 6052/6624
1. What is the HCF of 5048,6052?
The HCF of 5048,6052 is 4
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 5048/641, 6052/6624?
Answer: GCF of Numerators as per given numbers 5048/641, 6052/6624 is
GCF of Numerators i.e. for 5048,6052 is 4
LCM of denominators i.e. for 641,6624 is 4245984.
Thus, GCF of Fractions is 4/4245984.Finally, GCF of Fractions for 5048/641, 6052/6624 is 4/4245984.