GCF of 5113/948, 3212/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5113/948, 3212/815 i.e 1/772620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5113/948, 3212/815.
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 5113/948,3212/815?
Given fractions are 5113/948,3212/815
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 5113/948,3212/815, numerators are 5113,3212
Denominators are 948,815
The GCF of 5113,3212 is 1 .
LCM of 948,815 is 772620.
The greatest common factor of 5113/948,3212/815 = [GCF of 5113,3212]/[LCM of 948,815]= 1/772620
Therefore, the GCF of 5113/948,3212/815 is 1/772620.
To find the highest common factor of 5113,3212, we have to find the factors of both numbers and list the highest common factor.
The factors of 5113 are 1, 5113
The factors of 3212 are 1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212
The HCF of 5113,3212 is 1.
Lets's calculate GCF of 5113,3212
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5113,3212 By Matching Biggest Common Factor Method
Now, list down the factors of 5113
:1,5113
Now, list down the factors of 3212
:1,2,4,11,22,44,73,146,292,803,1606,3212
Greatest Common Factor
We found the factors 5113,3212 . The biggest common factor number is the GCF number.
So the greatest common factor 5113,3212 is 1.
Lets's calculate LCM of 948,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 772620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/772620
Therefore, the GCF of Fractions 5113/948,3212/815 is 1/772620
Least Common Multiple of 948,815 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 948,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(948,815) x common factors =1 x 1 = 1
LCM(948,815) = ( 948 × 815 ) / 1
LCM(948,815) = 772620 / 1
LCM(948,815) = 772620
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FAQs on GCF of Fractions of 5113/948, 3212/815
1. What is the HCF of 5113,3212?
The HCF of 5113,3212 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 5113/948, 3212/815?
Answer: GCF of Numerators as per given numbers 5113/948, 3212/815 is
GCF of Numerators i.e. for 5113,3212 is 1
LCM of denominators i.e. for 948,815 is 772620.
Thus, GCF of Fractions is 1/772620.Finally, GCF of Fractions for 5113/948, 3212/815 is 1/772620.