GCF of 155/918, 1720/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 155/918, 1720/233 i.e 5/213894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/918, 1720/233.
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 155/918,1720/233?
Given fractions are 155/918,1720/233
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 155/918,1720/233, numerators are 155,1720
Denominators are 918,233
The GCF of 155,1720 is 5 .
LCM of 918,233 is 213894.
The greatest common factor of 155/918,1720/233 = [GCF of 155,1720]/[LCM of 918,233]= 5/213894
Therefore, the GCF of 155/918,1720/233 is 5/213894.
To find the highest common factor of 155,1720, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720
The HCF of 155,1720 is 5.
Lets's calculate GCF of 155,1720
| 5 | 155, 1720 |
| 31, 344 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 155,1720 By Matching Biggest Common Factor Method
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 1720
:1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720
Greatest Common Factor
We found the factors 155,1720 . The biggest common factor number is the GCF number.
So the greatest common factor 155,1720 is 5.
Lets's calculate LCM of 918,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 213894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/213894
Therefore, the GCF of Fractions 155/918,1720/233 is 5/213894
Least Common Multiple of 918,233 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 918,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(918,233) x common factors =1 x 1 = 1
LCM(918,233) = ( 918 × 233 ) / 1
LCM(918,233) = 213894 / 1
LCM(918,233) = 213894
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FAQs on GCF of Fractions of 155/918, 1720/233
1. What is the HCF of 155,1720?
The HCF of 155,1720 is 5
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 155/918, 1720/233?
Answer: GCF of Numerators as per given numbers 155/918, 1720/233 is
GCF of Numerators i.e. for 155,1720 is 5
LCM of denominators i.e. for 918,233 is 213894.
Thus, GCF of Fractions is 5/213894.Finally, GCF of Fractions for 155/918, 1720/233 is 5/213894.