GCF of 9590/259, 7282/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9590/259, 7282/523 i.e 2/135457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9590/259, 7282/523.
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 9590/259,7282/523?
Given fractions are 9590/259,7282/523
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 9590/259,7282/523, numerators are 9590,7282
Denominators are 259,523
The GCF of 9590,7282 is 2 .
LCM of 259,523 is 135457.
The greatest common factor of 9590/259,7282/523 = [GCF of 9590,7282]/[LCM of 259,523]= 2/135457
Therefore, the GCF of 9590/259,7282/523 is 2/135457.
To find the highest common factor of 9590,7282, we have to find the factors of both numbers and list the highest common factor.
The factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590
The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282
The HCF of 9590,7282 is 2.
Lets's calculate GCF of 9590,7282
| 2 | 9590, 7282 |
| 4795, 3641 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9590,7282 By Matching Biggest Common Factor Method
Now, list down the factors of 9590
:1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Now, list down the factors of 7282
:1,2,11,22,331,662,3641,7282
Greatest Common Factor
We found the factors 9590,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 9590,7282 is 2.
Lets's calculate LCM of 259,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 135457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/135457
Therefore, the GCF of Fractions 9590/259,7282/523 is 2/135457
Least Common Multiple of 259,523 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 259,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,523) x common factors =1 x 1 = 1
LCM(259,523) = ( 259 × 523 ) / 1
LCM(259,523) = 135457 / 1
LCM(259,523) = 135457
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FAQs on GCF of Fractions of 9590/259, 7282/523
1. What is the HCF of 9590,7282?
The HCF of 9590,7282 is 2
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 9590/259, 7282/523?
Answer: GCF of Numerators as per given numbers 9590/259, 7282/523 is
GCF of Numerators i.e. for 9590,7282 is 2
LCM of denominators i.e. for 259,523 is 135457.
Thus, GCF of Fractions is 2/135457.Finally, GCF of Fractions for 9590/259, 7282/523 is 2/135457.