GCF of 15/997, 418/596, 140/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 15/997, 418/596, 140/449 i.e 1/266801188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/997, 418/596, 140/449.
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 15/997,418/596,140/449?
Given fractions are 15/997,418/596,140/449
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 15/997,418/596,140/449, numerators are 15,418,140
Denominators are 997,596,449
The GCF of 15,418,140 is 1 .
LCM of 997,596,449 is 266801188.
The greatest common factor of 15/997,418/596,140/449 = [GCF of 15,418,140]/[LCM of 997,596,449]= 1/266801188
Therefore, the GCF of 15/997,418/596,140/449 is 1/266801188.
To find the highest common factor of 15,418,140, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The HCF of 15,418,140 is 1.
Lets's calculate GCF of 15,418,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 15,418,140 By Matching Biggest Common Factor Method
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 15,418,140 . The biggest common factor number is the GCF number.
So the greatest common factor 15,418,140 is 1.
Lets's calculate LCM of 997,596,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 266801188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266801188
Therefore, the GCF of Fractions 15/997,418/596,140/449 is 1/266801188
Least Common Multiple of 997,596,449 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 997,596,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,596,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,596,449) x common factors =1 x 1 = 1
LCM(997,596,449) = ( 997 × 596 × 449 ) / 1
LCM(997,596,449) = 266801188 / 1
LCM(997,596,449) = 266801188
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FAQs on GCF of Fractions of 15/997, 418/596, 140/449
1. What is the HCF of 15,418,140?
The HCF of 15,418,140 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 15/997, 418/596, 140/449?
Answer: GCF of Numerators as per given numbers 15/997, 418/596, 140/449 is
GCF of Numerators i.e. for 15,418,140 is 1
LCM of denominators i.e. for 997,596,449 is 266801188.
Thus, GCF of Fractions is 1/266801188.Finally, GCF of Fractions for 15/997, 418/596, 140/449 is 1/266801188.