GCF of 437/516, 3978/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 437/516, 3978/909 i.e 1/156348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/516, 3978/909.
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 437/516,3978/909?
Given fractions are 437/516,3978/909
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 437/516,3978/909, numerators are 437,3978
Denominators are 516,909
The GCF of 437,3978 is 1 .
LCM of 516,909 is 156348.
The greatest common factor of 437/516,3978/909 = [GCF of 437,3978]/[LCM of 516,909]= 1/156348
Therefore, the GCF of 437/516,3978/909 is 1/156348.
To find the highest common factor of 437,3978, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
The HCF of 437,3978 is 1.
Lets's calculate GCF of 437,3978
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 437,3978 By Matching Biggest Common Factor Method
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 3978
:1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978
Greatest Common Factor
We found the factors 437,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 437,3978 is 1.
Lets's calculate LCM of 516,909
| 3 | 516, 909 |
| 172, 303 |
∴ So the LCM of the given numbers is 3 x 172 x 303 = 156348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156348
Therefore, the GCF of Fractions 437/516,3978/909 is 1/156348
Least Common Multiple of 516,909 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 516,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,909) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(516,909) x common factors =3 x 1 = 3
LCM(516,909) = ( 516 × 909 ) / 3
LCM(516,909) = 469044 / 3
LCM(516,909) = 156348
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 437/516, 3978/909
1. What is the HCF of 437,3978?
The HCF of 437,3978 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 437/516, 3978/909?
Answer: GCF of Numerators as per given numbers 437/516, 3978/909 is
GCF of Numerators i.e. for 437,3978 is 1
LCM of denominators i.e. for 516,909 is 156348.
Thus, GCF of Fractions is 1/156348.Finally, GCF of Fractions for 437/516, 3978/909 is 1/156348.