GCF of 1188/176, 4360/7193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1188/176, 4360/7193 i.e 4/1265968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1188/176, 4360/7193.
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 1188/176,4360/7193?
Given fractions are 1188/176,4360/7193
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 1188/176,4360/7193, numerators are 1188,4360
Denominators are 176,7193
The GCF of 1188,4360 is 4 .
LCM of 176,7193 is 1265968.
The greatest common factor of 1188/176,4360/7193 = [GCF of 1188,4360]/[LCM of 176,7193]= 4/1265968
Therefore, the GCF of 1188/176,4360/7193 is 4/1265968.
To find the highest common factor of 1188,4360, we have to find the factors of both numbers and list the highest common factor.
The factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188
The factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360
The HCF of 1188,4360 is 4.
Lets's calculate GCF of 1188,4360
| 2 | 1188, 4360 |
| 2 | 594, 2180 |
| 297, 1090 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1188,4360 By Matching Biggest Common Factor Method
Now, list down the factors of 1188
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188
Now, list down the factors of 4360
:1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360
Greatest Common Factor
We found the factors 1188,4360 . The biggest common factor number is the GCF number.
So the greatest common factor 1188,4360 is 4.
Lets's calculate LCM of 176,7193
Given numbers has no common factors except 1. So, there LCM is their product i.e 1265968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1265968
Therefore, the GCF of Fractions 1188/176,4360/7193 is 4/1265968
Least Common Multiple of 176,7193 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 176,7193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,7193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,7193) x common factors =1 x 1 = 1
LCM(176,7193) = ( 176 × 7193 ) / 1
LCM(176,7193) = 1265968 / 1
LCM(176,7193) = 1265968
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FAQs on GCF of Fractions of 1188/176, 4360/7193
1. What is the HCF of 1188,4360?
The HCF of 1188,4360 is 4
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 1188/176, 4360/7193?
Answer: GCF of Numerators as per given numbers 1188/176, 4360/7193 is
GCF of Numerators i.e. for 1188,4360 is 4
LCM of denominators i.e. for 176,7193 is 1265968.
Thus, GCF of Fractions is 4/1265968.Finally, GCF of Fractions for 1188/176, 4360/7193 is 4/1265968.