GCF of 9637/953, 4715/5864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9637/953, 4715/5864 i.e 23/5588392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9637/953, 4715/5864.
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 9637/953,4715/5864?
Given fractions are 9637/953,4715/5864
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 9637/953,4715/5864, numerators are 9637,4715
Denominators are 953,5864
The GCF of 9637,4715 is 23 .
LCM of 953,5864 is 5588392.
The greatest common factor of 9637/953,4715/5864 = [GCF of 9637,4715]/[LCM of 953,5864]= 23/5588392
Therefore, the GCF of 9637/953,4715/5864 is 23/5588392.
To find the highest common factor of 9637,4715, we have to find the factors of both numbers and list the highest common factor.
The factors of 9637 are 1, 23, 419, 9637
The factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715
The HCF of 9637,4715 is 23.
Lets's calculate GCF of 9637,4715
| 23 | 9637, 4715 |
| 419, 205 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9637,4715 By Matching Biggest Common Factor Method
Now, list down the factors of 9637
:1,23,419,9637
Now, list down the factors of 4715
:1,5,23,41,115,205,943,4715
Greatest Common Factor
We found the factors 9637,4715 . The biggest common factor number is the GCF number.
So the greatest common factor 9637,4715 is 23.
Lets's calculate LCM of 953,5864
Given numbers has no common factors except 1. So, there LCM is their product i.e 5588392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/5588392
Therefore, the GCF of Fractions 9637/953,4715/5864 is 23/5588392
Least Common Multiple of 953,5864 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 953,5864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,5864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,5864) x common factors =1 x 1 = 1
LCM(953,5864) = ( 953 × 5864 ) / 1
LCM(953,5864) = 5588392 / 1
LCM(953,5864) = 5588392
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FAQs on GCF of Fractions of 9637/953, 4715/5864
1. What is the HCF of 9637,4715?
The HCF of 9637,4715 is 23
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 9637/953, 4715/5864?
Answer: GCF of Numerators as per given numbers 9637/953, 4715/5864 is
GCF of Numerators i.e. for 9637,4715 is 23
LCM of denominators i.e. for 953,5864 is 5588392.
Thus, GCF of Fractions is 23/5588392.Finally, GCF of Fractions for 9637/953, 4715/5864 is 23/5588392.