GCF of 470/377, 8851/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 470/377, 8851/815 i.e 1/307255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/377, 8851/815.
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 470/377,8851/815?
Given fractions are 470/377,8851/815
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 470/377,8851/815, numerators are 470,8851
Denominators are 377,815
The GCF of 470,8851 is 1 .
LCM of 377,815 is 307255.
The greatest common factor of 470/377,8851/815 = [GCF of 470,8851]/[LCM of 377,815]= 1/307255
Therefore, the GCF of 470/377,8851/815 is 1/307255.
To find the highest common factor of 470,8851, 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 8851 are 1, 53, 167, 8851
The HCF of 470,8851 is 1.
Lets's calculate GCF of 470,8851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 470,8851 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 8851
:1,53,167,8851
Greatest Common Factor
We found the factors 470,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 470,8851 is 1.
Lets's calculate LCM of 377,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 307255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307255
Therefore, the GCF of Fractions 470/377,8851/815 is 1/307255
Least Common Multiple of 377,815 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 377,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,815) x common factors =1 x 1 = 1
LCM(377,815) = ( 377 × 815 ) / 1
LCM(377,815) = 307255 / 1
LCM(377,815) = 307255
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FAQs on GCF of Fractions of 470/377, 8851/815
1. What is the HCF of 470,8851?
The HCF of 470,8851 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 470/377, 8851/815?
Answer: GCF of Numerators as per given numbers 470/377, 8851/815 is
GCF of Numerators i.e. for 470,8851 is 1
LCM of denominators i.e. for 377,815 is 307255.
Thus, GCF of Fractions is 1/307255.Finally, GCF of Fractions for 470/377, 8851/815 is 1/307255.