GCF of 7596/560, 8229/5481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7596/560, 8229/5481 i.e 633/438480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7596/560, 8229/5481.
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 7596/560,8229/5481?
Given fractions are 7596/560,8229/5481
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 7596/560,8229/5481, numerators are 7596,8229
Denominators are 560,5481
The GCF of 7596,8229 is 633 .
LCM of 560,5481 is 438480.
The greatest common factor of 7596/560,8229/5481 = [GCF of 7596,8229]/[LCM of 560,5481]= 633/438480
Therefore, the GCF of 7596/560,8229/5481 is 633/438480.
To find the highest common factor of 7596,8229, we have to find the factors of both numbers and list the highest common factor.
The factors of 7596 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596
The factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229
The HCF of 7596,8229 is 633.
Lets's calculate GCF of 7596,8229
| 3 | 7596, 8229 |
| 211 | 2532, 2743 |
| 12, 13 |
∴ So the GCF of the given numbers is 3 x 211 = 633
Greatest Common Factor of 7596,8229 By Matching Biggest Common Factor Method
Now, list down the factors of 7596
:1,2,3,4,6,9,12,18,36,211,422,633,844,1266,1899,2532,3798,7596
Now, list down the factors of 8229
:1,3,13,39,211,633,2743,8229
Greatest Common Factor
We found the factors 7596,8229 . The biggest common factor number is the GCF number.
So the greatest common factor 7596,8229 is 633.
Lets's calculate LCM of 560,5481
| 7 | 560, 5481 |
| 80, 783 |
∴ So the LCM of the given numbers is 7 x 80 x 783 = 438480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 633/438480
Therefore, the GCF of Fractions 7596/560,8229/5481 is 633/438480
Least Common Multiple of 560,5481 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 560,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,5481) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(560,5481) x common factors =7 x 1 = 7
LCM(560,5481) = ( 560 × 5481 ) / 7
LCM(560,5481) = 3069360 / 7
LCM(560,5481) = 438480
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FAQs on GCF of Fractions of 7596/560, 8229/5481
1. What is the HCF of 7596,8229?
The HCF of 7596,8229 is 633
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 7596/560, 8229/5481?
Answer: GCF of Numerators as per given numbers 7596/560, 8229/5481 is
GCF of Numerators i.e. for 7596,8229 is 633
LCM of denominators i.e. for 560,5481 is 438480.
Thus, GCF of Fractions is 633/438480.Finally, GCF of Fractions for 7596/560, 8229/5481 is 633/438480.