GCF of 190/924, 885/481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 190/924, 885/481 i.e 5/444444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/924, 885/481.
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 190/924,885/481?
Given fractions are 190/924,885/481
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 190/924,885/481, numerators are 190,885
Denominators are 924,481
The GCF of 190,885 is 5 .
LCM of 924,481 is 444444.
The greatest common factor of 190/924,885/481 = [GCF of 190,885]/[LCM of 924,481]= 5/444444
Therefore, the GCF of 190/924,885/481 is 5/444444.
To find the highest common factor of 190,885, we have to find the factors of both numbers and list the highest common factor.
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885
The HCF of 190,885 is 5.
Lets's calculate GCF of 190,885
| 5 | 190, 885 |
| 38, 177 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 190,885 By Matching Biggest Common Factor Method
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Now, list down the factors of 885
:1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 190,885 . The biggest common factor number is the GCF number.
So the greatest common factor 190,885 is 5.
Lets's calculate LCM of 924,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 444444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/444444
Therefore, the GCF of Fractions 190/924,885/481 is 5/444444
Least Common Multiple of 924,481 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 924,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,481) x common factors =1 x 1 = 1
LCM(924,481) = ( 924 × 481 ) / 1
LCM(924,481) = 444444 / 1
LCM(924,481) = 444444
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FAQs on GCF of Fractions of 190/924, 885/481
1. What is the HCF of 190,885?
The HCF of 190,885 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 190/924, 885/481?
Answer: GCF of Numerators as per given numbers 190/924, 885/481 is
GCF of Numerators i.e. for 190,885 is 5
LCM of denominators i.e. for 924,481 is 444444.
Thus, GCF of Fractions is 5/444444.Finally, GCF of Fractions for 190/924, 885/481 is 5/444444.