GCF of 1665/370, 2231/193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1665/370, 2231/193 i.e 1/71410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1665/370, 2231/193.
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 1665/370,2231/193?
Given fractions are 1665/370,2231/193
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 1665/370,2231/193, numerators are 1665,2231
Denominators are 370,193
The GCF of 1665,2231 is 1 .
LCM of 370,193 is 71410.
The greatest common factor of 1665/370,2231/193 = [GCF of 1665,2231]/[LCM of 370,193]= 1/71410
Therefore, the GCF of 1665/370,2231/193 is 1/71410.
To find the highest common factor of 1665,2231, we have to find the factors of both numbers and list the highest common factor.
The factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665
The factors of 2231 are 1, 23, 97, 2231
The HCF of 1665,2231 is 1.
Lets's calculate GCF of 1665,2231
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1665,2231 By Matching Biggest Common Factor Method
Now, list down the factors of 1665
:1,3,5,9,15,37,45,111,185,333,555,1665
Now, list down the factors of 2231
:1,23,97,2231
Greatest Common Factor
We found the factors 1665,2231 . The biggest common factor number is the GCF number.
So the greatest common factor 1665,2231 is 1.
Lets's calculate LCM of 370,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 71410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71410
Therefore, the GCF of Fractions 1665/370,2231/193 is 1/71410
Least Common Multiple of 370,193 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 370,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,193) x common factors =1 x 1 = 1
LCM(370,193) = ( 370 × 193 ) / 1
LCM(370,193) = 71410 / 1
LCM(370,193) = 71410
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FAQs on GCF of Fractions of 1665/370, 2231/193
1. What is the HCF of 1665,2231?
The HCF of 1665,2231 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 1665/370, 2231/193?
Answer: GCF of Numerators as per given numbers 1665/370, 2231/193 is
GCF of Numerators i.e. for 1665,2231 is 1
LCM of denominators i.e. for 370,193 is 71410.
Thus, GCF of Fractions is 1/71410.Finally, GCF of Fractions for 1665/370, 2231/193 is 1/71410.