GCF of 9634/516, 4771/1149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9634/516, 4771/1149 i.e 1/197628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9634/516, 4771/1149.
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 9634/516,4771/1149?
Given fractions are 9634/516,4771/1149
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 9634/516,4771/1149, numerators are 9634,4771
Denominators are 516,1149
The GCF of 9634,4771 is 1 .
LCM of 516,1149 is 197628.
The greatest common factor of 9634/516,4771/1149 = [GCF of 9634,4771]/[LCM of 516,1149]= 1/197628
Therefore, the GCF of 9634/516,4771/1149 is 1/197628.
To find the highest common factor of 9634,4771, we have to find the factors of both numbers and list the highest common factor.
The factors of 9634 are 1, 2, 4817, 9634
The factors of 4771 are 1, 13, 367, 4771
The HCF of 9634,4771 is 1.
Lets's calculate GCF of 9634,4771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9634,4771 By Matching Biggest Common Factor Method
Now, list down the factors of 9634
:1,2,4817,9634
Now, list down the factors of 4771
:1,13,367,4771
Greatest Common Factor
We found the factors 9634,4771 . The biggest common factor number is the GCF number.
So the greatest common factor 9634,4771 is 1.
Lets's calculate LCM of 516,1149
| 3 | 516, 1149 |
| 172, 383 |
∴ So the LCM of the given numbers is 3 x 172 x 383 = 197628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197628
Therefore, the GCF of Fractions 9634/516,4771/1149 is 1/197628
Least Common Multiple of 516,1149 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 516,1149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,1149) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(516,1149) x common factors =3 x 1 = 3
LCM(516,1149) = ( 516 × 1149 ) / 3
LCM(516,1149) = 592884 / 3
LCM(516,1149) = 197628
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FAQs on GCF of Fractions of 9634/516, 4771/1149
1. What is the HCF of 9634,4771?
The HCF of 9634,4771 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 9634/516, 4771/1149?
Answer: GCF of Numerators as per given numbers 9634/516, 4771/1149 is
GCF of Numerators i.e. for 9634,4771 is 1
LCM of denominators i.e. for 516,1149 is 197628.
Thus, GCF of Fractions is 1/197628.Finally, GCF of Fractions for 9634/516, 4771/1149 is 1/197628.