GCF of 470/248, 809/421, 644/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 470/248, 809/421, 644/377 i.e 1/39361816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/248, 809/421, 644/377.
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 470/248,809/421,644/377?
Given fractions are 470/248,809/421,644/377
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 470/248,809/421,644/377, numerators are 470,809,644
Denominators are 248,421,377
The GCF of 470,809,644 is 1 .
LCM of 248,421,377 is 39361816.
The greatest common factor of 470/248,809/421,644/377 = [GCF of 470,809,644]/[LCM of 248,421,377]= 1/39361816
Therefore, the GCF of 470/248,809/421,644/377 is 1/39361816.
To find the highest common factor of 470,809,644, we have to find the factors of both numbers and list the highest common factor.
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The factors of 809 are 1, 809
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The HCF of 470,809,644 is 1.
Lets's calculate GCF of 470,809,644
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 470,809,644 By Matching Biggest Common Factor Method
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Now, list down the factors of 809
:1,809
Now, list down the factors of 644
:1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 470,809,644 . The biggest common factor number is the GCF number.
So the greatest common factor 470,809,644 is 1.
Lets's calculate LCM of 248,421,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 39361816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39361816
Therefore, the GCF of Fractions 470/248,809/421,644/377 is 1/39361816
Least Common Multiple of 248,421,377 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 248,421,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,421,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,421,377) x common factors =1 x 1 = 1
LCM(248,421,377) = ( 248 × 421 × 377 ) / 1
LCM(248,421,377) = 39361816 / 1
LCM(248,421,377) = 39361816
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FAQs on GCF of Fractions of 470/248, 809/421, 644/377
1. What is the HCF of 470,809,644?
The HCF of 470,809,644 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 470/248, 809/421, 644/377?
Answer: GCF of Numerators as per given numbers 470/248, 809/421, 644/377 is
GCF of Numerators i.e. for 470,809,644 is 1
LCM of denominators i.e. for 248,421,377 is 39361816.
Thus, GCF of Fractions is 1/39361816.Finally, GCF of Fractions for 470/248, 809/421, 644/377 is 1/39361816.