GCF of 7505/652, 4728/9648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7505/652, 4728/9648 i.e 1/1572624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7505/652, 4728/9648.
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 7505/652,4728/9648?
Given fractions are 7505/652,4728/9648
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 7505/652,4728/9648, numerators are 7505,4728
Denominators are 652,9648
The GCF of 7505,4728 is 1 .
LCM of 652,9648 is 1572624.
The greatest common factor of 7505/652,4728/9648 = [GCF of 7505,4728]/[LCM of 652,9648]= 1/1572624
Therefore, the GCF of 7505/652,4728/9648 is 1/1572624.
To find the highest common factor of 7505,4728, we have to find the factors of both numbers and list the highest common factor.
The factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505
The factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728
The HCF of 7505,4728 is 1.
Lets's calculate GCF of 7505,4728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7505,4728 By Matching Biggest Common Factor Method
Now, list down the factors of 7505
:1,5,19,79,95,395,1501,7505
Now, list down the factors of 4728
:1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Greatest Common Factor
We found the factors 7505,4728 . The biggest common factor number is the GCF number.
So the greatest common factor 7505,4728 is 1.
Lets's calculate LCM of 652,9648
| 2 | 652, 9648 |
| 2 | 326, 4824 |
| 163, 2412 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 2412 = 1572624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1572624
Therefore, the GCF of Fractions 7505/652,4728/9648 is 1/1572624
Least Common Multiple of 652,9648 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 652,9648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,9648) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,9648) x common factors =4 x 1 = 4
LCM(652,9648) = ( 652 × 9648 ) / 4
LCM(652,9648) = 6290496 / 4
LCM(652,9648) = 1572624
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FAQs on GCF of Fractions of 7505/652, 4728/9648
1. What is the HCF of 7505,4728?
The HCF of 7505,4728 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 7505/652, 4728/9648?
Answer: GCF of Numerators as per given numbers 7505/652, 4728/9648 is
GCF of Numerators i.e. for 7505,4728 is 1
LCM of denominators i.e. for 652,9648 is 1572624.
Thus, GCF of Fractions is 1/1572624.Finally, GCF of Fractions for 7505/652, 4728/9648 is 1/1572624.