GCF of 9947/492, 8745/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9947/492, 8745/178 i.e 1/43788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9947/492, 8745/178.
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 9947/492,8745/178?
Given fractions are 9947/492,8745/178
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 9947/492,8745/178, numerators are 9947,8745
Denominators are 492,178
The GCF of 9947,8745 is 1 .
LCM of 492,178 is 43788.
The greatest common factor of 9947/492,8745/178 = [GCF of 9947,8745]/[LCM of 492,178]= 1/43788
Therefore, the GCF of 9947/492,8745/178 is 1/43788.
To find the highest common factor of 9947,8745, we have to find the factors of both numbers and list the highest common factor.
The factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947
The factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745
The HCF of 9947,8745 is 1.
Lets's calculate GCF of 9947,8745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9947,8745 By Matching Biggest Common Factor Method
Now, list down the factors of 9947
:1,7,29,49,203,343,1421,9947
Now, list down the factors of 8745
:1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Greatest Common Factor
We found the factors 9947,8745 . The biggest common factor number is the GCF number.
So the greatest common factor 9947,8745 is 1.
Lets's calculate LCM of 492,178
| 2 | 492, 178 |
| 246, 89 |
∴ So the LCM of the given numbers is 2 x 246 x 89 = 43788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43788
Therefore, the GCF of Fractions 9947/492,8745/178 is 1/43788
Least Common Multiple of 492,178 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 492,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(492,178) x common factors =2 x 1 = 2
LCM(492,178) = ( 492 × 178 ) / 2
LCM(492,178) = 87576 / 2
LCM(492,178) = 43788
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9947/492, 8745/178
1. What is the HCF of 9947,8745?
The HCF of 9947,8745 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 9947/492, 8745/178?
Answer: GCF of Numerators as per given numbers 9947/492, 8745/178 is
GCF of Numerators i.e. for 9947,8745 is 1
LCM of denominators i.e. for 492,178 is 43788.
Thus, GCF of Fractions is 1/43788.Finally, GCF of Fractions for 9947/492, 8745/178 is 1/43788.