GCF of 1187/720, 8940/1656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1187/720, 8940/1656 i.e 1/16560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1187/720, 8940/1656.
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 1187/720,8940/1656?
Given fractions are 1187/720,8940/1656
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 1187/720,8940/1656, numerators are 1187,8940
Denominators are 720,1656
The GCF of 1187,8940 is 1 .
LCM of 720,1656 is 16560.
The greatest common factor of 1187/720,8940/1656 = [GCF of 1187,8940]/[LCM of 720,1656]= 1/16560
Therefore, the GCF of 1187/720,8940/1656 is 1/16560.
To find the highest common factor of 1187,8940, we have to find the factors of both numbers and list the highest common factor.
The factors of 1187 are 1, 1187
The factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940
The HCF of 1187,8940 is 1.
Lets's calculate GCF of 1187,8940
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1187,8940 By Matching Biggest Common Factor Method
Now, list down the factors of 1187
:1,1187
Now, list down the factors of 8940
:1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Greatest Common Factor
We found the factors 1187,8940 . The biggest common factor number is the GCF number.
So the greatest common factor 1187,8940 is 1.
Lets's calculate LCM of 720,1656
| 2 | 720, 1656 |
| 2 | 360, 828 |
| 2 | 180, 414 |
| 3 | 90, 207 |
| 3 | 30, 69 |
| 10, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 10 x 23 = 16560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16560
Therefore, the GCF of Fractions 1187/720,8940/1656 is 1/16560
Least Common Multiple of 720,1656 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 720,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,1656) = 72
common factors(in case of two or more numbers have common factors) = 1
GCF(720,1656) x common factors =72 x 1 = 72
LCM(720,1656) = ( 720 × 1656 ) / 72
LCM(720,1656) = 1192320 / 72
LCM(720,1656) = 16560
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FAQs on GCF of Fractions of 1187/720, 8940/1656
1. What is the HCF of 1187,8940?
The HCF of 1187,8940 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 1187/720, 8940/1656?
Answer: GCF of Numerators as per given numbers 1187/720, 8940/1656 is
GCF of Numerators i.e. for 1187,8940 is 1
LCM of denominators i.e. for 720,1656 is 16560.
Thus, GCF of Fractions is 1/16560.Finally, GCF of Fractions for 1187/720, 8940/1656 is 1/16560.