GCF of 7624/580, 9452/8218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7624/580, 9452/8218 i.e 4/2383220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7624/580, 9452/8218.
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 7624/580,9452/8218?
Given fractions are 7624/580,9452/8218
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 7624/580,9452/8218, numerators are 7624,9452
Denominators are 580,8218
The GCF of 7624,9452 is 4 .
LCM of 580,8218 is 2383220.
The greatest common factor of 7624/580,9452/8218 = [GCF of 7624,9452]/[LCM of 580,8218]= 4/2383220
Therefore, the GCF of 7624/580,9452/8218 is 4/2383220.
To find the highest common factor of 7624,9452, we have to find the factors of both numbers and list the highest common factor.
The factors of 7624 are 1, 2, 4, 8, 953, 1906, 3812, 7624
The factors of 9452 are 1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452
The HCF of 7624,9452 is 4.
Lets's calculate GCF of 7624,9452
| 2 | 7624, 9452 |
| 2 | 3812, 4726 |
| 1906, 2363 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7624,9452 By Matching Biggest Common Factor Method
Now, list down the factors of 7624
:1,2,4,8,953,1906,3812,7624
Now, list down the factors of 9452
:1,2,4,17,34,68,139,278,556,2363,4726,9452
Greatest Common Factor
We found the factors 7624,9452 . The biggest common factor number is the GCF number.
So the greatest common factor 7624,9452 is 4.
Lets's calculate LCM of 580,8218
| 2 | 580, 8218 |
| 290, 4109 |
∴ So the LCM of the given numbers is 2 x 290 x 4109 = 2383220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2383220
Therefore, the GCF of Fractions 7624/580,9452/8218 is 4/2383220
Least Common Multiple of 580,8218 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 580,8218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,8218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(580,8218) x common factors =2 x 1 = 2
LCM(580,8218) = ( 580 × 8218 ) / 2
LCM(580,8218) = 4766440 / 2
LCM(580,8218) = 2383220
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FAQs on GCF of Fractions of 7624/580, 9452/8218
1. What is the HCF of 7624,9452?
The HCF of 7624,9452 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 7624/580, 9452/8218?
Answer: GCF of Numerators as per given numbers 7624/580, 9452/8218 is
GCF of Numerators i.e. for 7624,9452 is 4
LCM of denominators i.e. for 580,8218 is 2383220.
Thus, GCF of Fractions is 4/2383220.Finally, GCF of Fractions for 7624/580, 9452/8218 is 4/2383220.