GCF of 1161/980, 8947/2023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1161/980, 8947/2023 i.e 1/283220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1161/980, 8947/2023.
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 1161/980,8947/2023?
Given fractions are 1161/980,8947/2023
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 1161/980,8947/2023, numerators are 1161,8947
Denominators are 980,2023
The GCF of 1161,8947 is 1 .
LCM of 980,2023 is 283220.
The greatest common factor of 1161/980,8947/2023 = [GCF of 1161,8947]/[LCM of 980,2023]= 1/283220
Therefore, the GCF of 1161/980,8947/2023 is 1/283220.
To find the highest common factor of 1161,8947, we have to find the factors of both numbers and list the highest common factor.
The factors of 1161 are 1, 3, 9, 27, 43, 129, 387, 1161
The factors of 8947 are 1, 23, 389, 8947
The HCF of 1161,8947 is 1.
Lets's calculate GCF of 1161,8947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1161,8947 By Matching Biggest Common Factor Method
Now, list down the factors of 1161
:1,3,9,27,43,129,387,1161
Now, list down the factors of 8947
:1,23,389,8947
Greatest Common Factor
We found the factors 1161,8947 . The biggest common factor number is the GCF number.
So the greatest common factor 1161,8947 is 1.
Lets's calculate LCM of 980,2023
| 7 | 980, 2023 |
| 140, 289 |
∴ So the LCM of the given numbers is 7 x 140 x 289 = 283220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283220
Therefore, the GCF of Fractions 1161/980,8947/2023 is 1/283220
Least Common Multiple of 980,2023 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 980,2023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,2023) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(980,2023) x common factors =7 x 1 = 7
LCM(980,2023) = ( 980 × 2023 ) / 7
LCM(980,2023) = 1982540 / 7
LCM(980,2023) = 283220
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FAQs on GCF of Fractions of 1161/980, 8947/2023
1. What is the HCF of 1161,8947?
The HCF of 1161,8947 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 1161/980, 8947/2023?
Answer: GCF of Numerators as per given numbers 1161/980, 8947/2023 is
GCF of Numerators i.e. for 1161,8947 is 1
LCM of denominators i.e. for 980,2023 is 283220.
Thus, GCF of Fractions is 1/283220.Finally, GCF of Fractions for 1161/980, 8947/2023 is 1/283220.