GCF of 8187/218, 7240/1120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8187/218, 7240/1120 i.e 1/122080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8187/218, 7240/1120.
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 8187/218,7240/1120?
Given fractions are 8187/218,7240/1120
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 8187/218,7240/1120, numerators are 8187,7240
Denominators are 218,1120
The GCF of 8187,7240 is 1 .
LCM of 218,1120 is 122080.
The greatest common factor of 8187/218,7240/1120 = [GCF of 8187,7240]/[LCM of 218,1120]= 1/122080
Therefore, the GCF of 8187/218,7240/1120 is 1/122080.
To find the highest common factor of 8187,7240, we have to find the factors of both numbers and list the highest common factor.
The factors of 8187 are 1, 3, 2729, 8187
The factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240
The HCF of 8187,7240 is 1.
Lets's calculate GCF of 8187,7240
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8187,7240 By Matching Biggest Common Factor Method
Now, list down the factors of 8187
:1,3,2729,8187
Now, list down the factors of 7240
:1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240
Greatest Common Factor
We found the factors 8187,7240 . The biggest common factor number is the GCF number.
So the greatest common factor 8187,7240 is 1.
Lets's calculate LCM of 218,1120
| 2 | 218, 1120 |
| 109, 560 |
∴ So the LCM of the given numbers is 2 x 109 x 560 = 122080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122080
Therefore, the GCF of Fractions 8187/218,7240/1120 is 1/122080
Least Common Multiple of 218,1120 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 218,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,1120) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,1120) x common factors =2 x 1 = 2
LCM(218,1120) = ( 218 × 1120 ) / 2
LCM(218,1120) = 244160 / 2
LCM(218,1120) = 122080
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FAQs on GCF of Fractions of 8187/218, 7240/1120
1. What is the HCF of 8187,7240?
The HCF of 8187,7240 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 8187/218, 7240/1120?
Answer: GCF of Numerators as per given numbers 8187/218, 7240/1120 is
GCF of Numerators i.e. for 8187,7240 is 1
LCM of denominators i.e. for 218,1120 is 122080.
Thus, GCF of Fractions is 1/122080.Finally, GCF of Fractions for 8187/218, 7240/1120 is 1/122080.