GCF of 89/75, 45/92, 193/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 89/75, 45/92, 193/409 i.e 1/2822100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/75, 45/92, 193/409.
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 89/75,45/92,193/409?
Given fractions are 89/75,45/92,193/409
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 89/75,45/92,193/409, numerators are 89,45,193
Denominators are 75,92,409
The GCF of 89,45,193 is 1 .
LCM of 75,92,409 is 2822100.
The greatest common factor of 89/75,45/92,193/409 = [GCF of 89,45,193]/[LCM of 75,92,409]= 1/2822100
Therefore, the GCF of 89/75,45/92,193/409 is 1/2822100.
To find the highest common factor of 89,45,193, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 193 are 1, 193
The HCF of 89,45,193 is 1.
Lets's calculate GCF of 89,45,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 89,45,193 By Matching Biggest Common Factor Method
Now, list down the factors of 89
:1,89
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 193
:1,193
Greatest Common Factor
We found the factors 89,45,193 . The biggest common factor number is the GCF number.
So the greatest common factor 89,45,193 is 1.
Lets's calculate LCM of 75,92,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 2822100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2822100
Therefore, the GCF of Fractions 89/75,45/92,193/409 is 1/2822100
Least Common Multiple of 75,92,409 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 75,92,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,92,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,92,409) x common factors =1 x 1 = 1
LCM(75,92,409) = ( 75 × 92 × 409 ) / 1
LCM(75,92,409) = 2822100 / 1
LCM(75,92,409) = 2822100
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FAQs on GCF of Fractions of 89/75, 45/92, 193/409
1. What is the HCF of 89,45,193?
The HCF of 89,45,193 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 89/75, 45/92, 193/409?
Answer: GCF of Numerators as per given numbers 89/75, 45/92, 193/409 is
GCF of Numerators i.e. for 89,45,193 is 1
LCM of denominators i.e. for 75,92,409 is 2822100.
Thus, GCF of Fractions is 1/2822100.Finally, GCF of Fractions for 89/75, 45/92, 193/409 is 1/2822100.