GCF of 9517/892, 3736/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9517/892, 3736/594 i.e 1/264924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9517/892, 3736/594.
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 9517/892,3736/594?
Given fractions are 9517/892,3736/594
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 9517/892,3736/594, numerators are 9517,3736
Denominators are 892,594
The GCF of 9517,3736 is 1 .
LCM of 892,594 is 264924.
The greatest common factor of 9517/892,3736/594 = [GCF of 9517,3736]/[LCM of 892,594]= 1/264924
Therefore, the GCF of 9517/892,3736/594 is 1/264924.
To find the highest common factor of 9517,3736, we have to find the factors of both numbers and list the highest common factor.
The factors of 9517 are 1, 31, 307, 9517
The factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736
The HCF of 9517,3736 is 1.
Lets's calculate GCF of 9517,3736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9517,3736 By Matching Biggest Common Factor Method
Now, list down the factors of 9517
:1,31,307,9517
Now, list down the factors of 3736
:1,2,4,8,467,934,1868,3736
Greatest Common Factor
We found the factors 9517,3736 . The biggest common factor number is the GCF number.
So the greatest common factor 9517,3736 is 1.
Lets's calculate LCM of 892,594
| 2 | 892, 594 |
| 446, 297 |
∴ So the LCM of the given numbers is 2 x 446 x 297 = 264924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264924
Therefore, the GCF of Fractions 9517/892,3736/594 is 1/264924
Least Common Multiple of 892,594 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 892,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,594) x common factors =2 x 1 = 2
LCM(892,594) = ( 892 × 594 ) / 2
LCM(892,594) = 529848 / 2
LCM(892,594) = 264924
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FAQs on GCF of Fractions of 9517/892, 3736/594
1. What is the HCF of 9517,3736?
The HCF of 9517,3736 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 9517/892, 3736/594?
Answer: GCF of Numerators as per given numbers 9517/892, 3736/594 is
GCF of Numerators i.e. for 9517,3736 is 1
LCM of denominators i.e. for 892,594 is 264924.
Thus, GCF of Fractions is 1/264924.Finally, GCF of Fractions for 9517/892, 3736/594 is 1/264924.