GCF of 319/614, 982/368, 430/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 319/614, 982/368, 430/405 i.e 1/45755280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 319/614, 982/368, 430/405.
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 319/614,982/368,430/405?
Given fractions are 319/614,982/368,430/405
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 319/614,982/368,430/405, numerators are 319,982,430
Denominators are 614,368,405
The GCF of 319,982,430 is 1 .
LCM of 614,368,405 is 45755280.
The greatest common factor of 319/614,982/368,430/405 = [GCF of 319,982,430]/[LCM of 614,368,405]= 1/45755280
Therefore, the GCF of 319/614,982/368,430/405 is 1/45755280.
To find the highest common factor of 319,982,430, we have to find the factors of both numbers and list the highest common factor.
The factors of 319 are 1, 11, 29, 319
The factors of 982 are 1, 2, 491, 982
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 319,982,430 is 1.
Lets's calculate GCF of 319,982,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 319,982,430 By Matching Biggest Common Factor Method
Now, list down the factors of 319
:1,11,29,319
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 319,982,430 . The biggest common factor number is the GCF number.
So the greatest common factor 319,982,430 is 1.
Lets's calculate LCM of 614,368,405
| 2 | 614, 368, 405 |
| 307, 184, 405 |
∴ So the LCM of the given numbers is 2 x 307 x 184 x 405 = 45755280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45755280
Therefore, the GCF of Fractions 319/614,982/368,430/405 is 1/45755280
Least Common Multiple of 614,368,405 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 614,368,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,368,405) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(614,368,405) x common factors =1 x 2 = 2
LCM(614,368,405) = ( 614 × 368 × 405 ) / 2
LCM(614,368,405) = 91510560 / 2
LCM(614,368,405) = 45755280
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FAQs on GCF of Fractions of 319/614, 982/368, 430/405
1. What is the HCF of 319,982,430?
The HCF of 319,982,430 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 319/614, 982/368, 430/405?
Answer: GCF of Numerators as per given numbers 319/614, 982/368, 430/405 is
GCF of Numerators i.e. for 319,982,430 is 1
LCM of denominators i.e. for 614,368,405 is 45755280.
Thus, GCF of Fractions is 1/45755280.Finally, GCF of Fractions for 319/614, 982/368, 430/405 is 1/45755280.