GCF of 9770/184, 5574/632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9770/184, 5574/632 i.e 2/14536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9770/184, 5574/632.
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 9770/184,5574/632?
Given fractions are 9770/184,5574/632
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 9770/184,5574/632, numerators are 9770,5574
Denominators are 184,632
The GCF of 9770,5574 is 2 .
LCM of 184,632 is 14536.
The greatest common factor of 9770/184,5574/632 = [GCF of 9770,5574]/[LCM of 184,632]= 2/14536
Therefore, the GCF of 9770/184,5574/632 is 2/14536.
To find the highest common factor of 9770,5574, we have to find the factors of both numbers and list the highest common factor.
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574
The HCF of 9770,5574 is 2.
Lets's calculate GCF of 9770,5574
| 2 | 9770, 5574 |
| 4885, 2787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9770,5574 By Matching Biggest Common Factor Method
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Now, list down the factors of 5574
:1,2,3,6,929,1858,2787,5574
Greatest Common Factor
We found the factors 9770,5574 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,5574 is 2.
Lets's calculate LCM of 184,632
| 2 | 184, 632 |
| 2 | 92, 316 |
| 2 | 46, 158 |
| 23, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 79 = 14536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14536
Therefore, the GCF of Fractions 9770/184,5574/632 is 2/14536
Least Common Multiple of 184,632 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 184,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,632) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(184,632) x common factors =8 x 1 = 8
LCM(184,632) = ( 184 × 632 ) / 8
LCM(184,632) = 116288 / 8
LCM(184,632) = 14536
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9770/184, 5574/632
1. What is the HCF of 9770,5574?
The HCF of 9770,5574 is 2
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 9770/184, 5574/632?
Answer: GCF of Numerators as per given numbers 9770/184, 5574/632 is
GCF of Numerators i.e. for 9770,5574 is 2
LCM of denominators i.e. for 184,632 is 14536.
Thus, GCF of Fractions is 2/14536.Finally, GCF of Fractions for 9770/184, 5574/632 is 2/14536.