GCF of 9665/526, 5357/246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9665/526, 5357/246 i.e 1/64698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9665/526, 5357/246.
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 9665/526,5357/246?
Given fractions are 9665/526,5357/246
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 9665/526,5357/246, numerators are 9665,5357
Denominators are 526,246
The GCF of 9665,5357 is 1 .
LCM of 526,246 is 64698.
The greatest common factor of 9665/526,5357/246 = [GCF of 9665,5357]/[LCM of 526,246]= 1/64698
Therefore, the GCF of 9665/526,5357/246 is 1/64698.
To find the highest common factor of 9665,5357, we have to find the factors of both numbers and list the highest common factor.
The factors of 9665 are 1, 5, 1933, 9665
The factors of 5357 are 1, 11, 487, 5357
The HCF of 9665,5357 is 1.
Lets's calculate GCF of 9665,5357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9665,5357 By Matching Biggest Common Factor Method
Now, list down the factors of 9665
:1,5,1933,9665
Now, list down the factors of 5357
:1,11,487,5357
Greatest Common Factor
We found the factors 9665,5357 . The biggest common factor number is the GCF number.
So the greatest common factor 9665,5357 is 1.
Lets's calculate LCM of 526,246
| 2 | 526, 246 |
| 263, 123 |
∴ So the LCM of the given numbers is 2 x 263 x 123 = 64698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64698
Therefore, the GCF of Fractions 9665/526,5357/246 is 1/64698
Least Common Multiple of 526,246 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 526,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,246) x common factors =2 x 1 = 2
LCM(526,246) = ( 526 × 246 ) / 2
LCM(526,246) = 129396 / 2
LCM(526,246) = 64698
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FAQs on GCF of Fractions of 9665/526, 5357/246
1. What is the HCF of 9665,5357?
The HCF of 9665,5357 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 9665/526, 5357/246?
Answer: GCF of Numerators as per given numbers 9665/526, 5357/246 is
GCF of Numerators i.e. for 9665,5357 is 1
LCM of denominators i.e. for 526,246 is 64698.
Thus, GCF of Fractions is 1/64698.Finally, GCF of Fractions for 9665/526, 5357/246 is 1/64698.