GCF of 3747/467, 8758/5353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3747/467, 8758/5353 i.e 1/2499851 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3747/467, 8758/5353.
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 3747/467,8758/5353?
Given fractions are 3747/467,8758/5353
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 3747/467,8758/5353, numerators are 3747,8758
Denominators are 467,5353
The GCF of 3747,8758 is 1 .
LCM of 467,5353 is 2499851.
The greatest common factor of 3747/467,8758/5353 = [GCF of 3747,8758]/[LCM of 467,5353]= 1/2499851
Therefore, the GCF of 3747/467,8758/5353 is 1/2499851.
To find the highest common factor of 3747,8758, we have to find the factors of both numbers and list the highest common factor.
The factors of 3747 are 1, 3, 1249, 3747
The factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758
The HCF of 3747,8758 is 1.
Lets's calculate GCF of 3747,8758
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3747,8758 By Matching Biggest Common Factor Method
Now, list down the factors of 3747
:1,3,1249,3747
Now, list down the factors of 8758
:1,2,29,58,151,302,4379,8758
Greatest Common Factor
We found the factors 3747,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 3747,8758 is 1.
Lets's calculate LCM of 467,5353
Given numbers has no common factors except 1. So, there LCM is their product i.e 2499851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2499851
Therefore, the GCF of Fractions 3747/467,8758/5353 is 1/2499851
Least Common Multiple of 467,5353 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 467,5353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,5353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,5353) x common factors =1 x 1 = 1
LCM(467,5353) = ( 467 × 5353 ) / 1
LCM(467,5353) = 2499851 / 1
LCM(467,5353) = 2499851
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FAQs on GCF of Fractions of 3747/467, 8758/5353
1. What is the HCF of 3747,8758?
The HCF of 3747,8758 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 3747/467, 8758/5353?
Answer: GCF of Numerators as per given numbers 3747/467, 8758/5353 is
GCF of Numerators i.e. for 3747,8758 is 1
LCM of denominators i.e. for 467,5353 is 2499851.
Thus, GCF of Fractions is 1/2499851.Finally, GCF of Fractions for 3747/467, 8758/5353 is 1/2499851.