GCF of 1372/732, 4811/4717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1372/732, 4811/4717 i.e 1/3452844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1372/732, 4811/4717.
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 1372/732,4811/4717?
Given fractions are 1372/732,4811/4717
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 1372/732,4811/4717, numerators are 1372,4811
Denominators are 732,4717
The GCF of 1372,4811 is 1 .
LCM of 732,4717 is 3452844.
The greatest common factor of 1372/732,4811/4717 = [GCF of 1372,4811]/[LCM of 732,4717]= 1/3452844
Therefore, the GCF of 1372/732,4811/4717 is 1/3452844.
To find the highest common factor of 1372,4811, we have to find the factors of both numbers and list the highest common factor.
The factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372
The factors of 4811 are 1, 17, 283, 4811
The HCF of 1372,4811 is 1.
Lets's calculate GCF of 1372,4811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1372,4811 By Matching Biggest Common Factor Method
Now, list down the factors of 1372
:1,2,4,7,14,28,49,98,196,343,686,1372
Now, list down the factors of 4811
:1,17,283,4811
Greatest Common Factor
We found the factors 1372,4811 . The biggest common factor number is the GCF number.
So the greatest common factor 1372,4811 is 1.
Lets's calculate LCM of 732,4717
Given numbers has no common factors except 1. So, there LCM is their product i.e 3452844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3452844
Therefore, the GCF of Fractions 1372/732,4811/4717 is 1/3452844
Least Common Multiple of 732,4717 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 732,4717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,4717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,4717) x common factors =1 x 1 = 1
LCM(732,4717) = ( 732 × 4717 ) / 1
LCM(732,4717) = 3452844 / 1
LCM(732,4717) = 3452844
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FAQs on GCF of Fractions of 1372/732, 4811/4717
1. What is the HCF of 1372,4811?
The HCF of 1372,4811 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 1372/732, 4811/4717?
Answer: GCF of Numerators as per given numbers 1372/732, 4811/4717 is
GCF of Numerators i.e. for 1372,4811 is 1
LCM of denominators i.e. for 732,4717 is 3452844.
Thus, GCF of Fractions is 1/3452844.Finally, GCF of Fractions for 1372/732, 4811/4717 is 1/3452844.