GCF of 9641/214, 5549/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9641/214, 5549/660 i.e 31/70620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9641/214, 5549/660.
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 9641/214,5549/660?
Given fractions are 9641/214,5549/660
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 9641/214,5549/660, numerators are 9641,5549
Denominators are 214,660
The GCF of 9641,5549 is 31 .
LCM of 214,660 is 70620.
The greatest common factor of 9641/214,5549/660 = [GCF of 9641,5549]/[LCM of 214,660]= 31/70620
Therefore, the GCF of 9641/214,5549/660 is 31/70620.
To find the highest common factor of 9641,5549, we have to find the factors of both numbers and list the highest common factor.
The factors of 9641 are 1, 31, 311, 9641
The factors of 5549 are 1, 31, 179, 5549
The HCF of 9641,5549 is 31.
Lets's calculate GCF of 9641,5549
| 31 | 9641, 5549 |
| 311, 179 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 9641,5549 By Matching Biggest Common Factor Method
Now, list down the factors of 9641
:1,31,311,9641
Now, list down the factors of 5549
:1,31,179,5549
Greatest Common Factor
We found the factors 9641,5549 . The biggest common factor number is the GCF number.
So the greatest common factor 9641,5549 is 31.
Lets's calculate LCM of 214,660
| 2 | 214, 660 |
| 107, 330 |
∴ So the LCM of the given numbers is 2 x 107 x 330 = 70620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/70620
Therefore, the GCF of Fractions 9641/214,5549/660 is 31/70620
Least Common Multiple of 214,660 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 214,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,660) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,660) x common factors =2 x 1 = 2
LCM(214,660) = ( 214 × 660 ) / 2
LCM(214,660) = 141240 / 2
LCM(214,660) = 70620
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FAQs on GCF of Fractions of 9641/214, 5549/660
1. What is the HCF of 9641,5549?
The HCF of 9641,5549 is 31
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 9641/214, 5549/660?
Answer: GCF of Numerators as per given numbers 9641/214, 5549/660 is
GCF of Numerators i.e. for 9641,5549 is 31
LCM of denominators i.e. for 214,660 is 70620.
Thus, GCF of Fractions is 31/70620.Finally, GCF of Fractions for 9641/214, 5549/660 is 31/70620.