GCF of 9520/861, 1739/6457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9520/861, 1739/6457 i.e 1/5559477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9520/861, 1739/6457.
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 9520/861,1739/6457?
Given fractions are 9520/861,1739/6457
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 9520/861,1739/6457, numerators are 9520,1739
Denominators are 861,6457
The GCF of 9520,1739 is 1 .
LCM of 861,6457 is 5559477.
The greatest common factor of 9520/861,1739/6457 = [GCF of 9520,1739]/[LCM of 861,6457]= 1/5559477
Therefore, the GCF of 9520/861,1739/6457 is 1/5559477.
To find the highest common factor of 9520,1739, we have to find the factors of both numbers and list the highest common factor.
The factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520
The factors of 1739 are 1, 37, 47, 1739
The HCF of 9520,1739 is 1.
Lets's calculate GCF of 9520,1739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9520,1739 By Matching Biggest Common Factor Method
Now, list down the factors of 9520
:1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520
Now, list down the factors of 1739
:1,37,47,1739
Greatest Common Factor
We found the factors 9520,1739 . The biggest common factor number is the GCF number.
So the greatest common factor 9520,1739 is 1.
Lets's calculate LCM of 861,6457
Given numbers has no common factors except 1. So, there LCM is their product i.e 5559477
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5559477
Therefore, the GCF of Fractions 9520/861,1739/6457 is 1/5559477
Least Common Multiple of 861,6457 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 861,6457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,6457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,6457) x common factors =1 x 1 = 1
LCM(861,6457) = ( 861 × 6457 ) / 1
LCM(861,6457) = 5559477 / 1
LCM(861,6457) = 5559477
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FAQs on GCF of Fractions of 9520/861, 1739/6457
1. What is the HCF of 9520,1739?
The HCF of 9520,1739 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 9520/861, 1739/6457?
Answer: GCF of Numerators as per given numbers 9520/861, 1739/6457 is
GCF of Numerators i.e. for 9520,1739 is 1
LCM of denominators i.e. for 861,6457 is 5559477.
Thus, GCF of Fractions is 1/5559477.Finally, GCF of Fractions for 9520/861, 1739/6457 is 1/5559477.