GCF of 4195/190, 9011/3710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4195/190, 9011/3710 i.e 1/70490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4195/190, 9011/3710.
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 4195/190,9011/3710?
Given fractions are 4195/190,9011/3710
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 4195/190,9011/3710, numerators are 4195,9011
Denominators are 190,3710
The GCF of 4195,9011 is 1 .
LCM of 190,3710 is 70490.
The greatest common factor of 4195/190,9011/3710 = [GCF of 4195,9011]/[LCM of 190,3710]= 1/70490
Therefore, the GCF of 4195/190,9011/3710 is 1/70490.
To find the highest common factor of 4195,9011, we have to find the factors of both numbers and list the highest common factor.
The factors of 4195 are 1, 5, 839, 4195
The factors of 9011 are 1, 9011
The HCF of 4195,9011 is 1.
Lets's calculate GCF of 4195,9011
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4195,9011 By Matching Biggest Common Factor Method
Now, list down the factors of 4195
:1,5,839,4195
Now, list down the factors of 9011
:1,9011
Greatest Common Factor
We found the factors 4195,9011 . The biggest common factor number is the GCF number.
So the greatest common factor 4195,9011 is 1.
Lets's calculate LCM of 190,3710
| 2 | 190, 3710 |
| 5 | 95, 1855 |
| 19, 371 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 371 = 70490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70490
Therefore, the GCF of Fractions 4195/190,9011/3710 is 1/70490
Least Common Multiple of 190,3710 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 190,3710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,3710) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(190,3710) x common factors =10 x 1 = 10
LCM(190,3710) = ( 190 × 3710 ) / 10
LCM(190,3710) = 704900 / 10
LCM(190,3710) = 70490
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FAQs on GCF of Fractions of 4195/190, 9011/3710
1. What is the HCF of 4195,9011?
The HCF of 4195,9011 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 4195/190, 9011/3710?
Answer: GCF of Numerators as per given numbers 4195/190, 9011/3710 is
GCF of Numerators i.e. for 4195,9011 is 1
LCM of denominators i.e. for 190,3710 is 70490.
Thus, GCF of Fractions is 1/70490.Finally, GCF of Fractions for 4195/190, 9011/3710 is 1/70490.