GCF of 3747/613, 4769/1026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3747/613, 4769/1026 i.e 1/628938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3747/613, 4769/1026.
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 3747/613,4769/1026?
Given fractions are 3747/613,4769/1026
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 3747/613,4769/1026, numerators are 3747,4769
Denominators are 613,1026
The GCF of 3747,4769 is 1 .
LCM of 613,1026 is 628938.
The greatest common factor of 3747/613,4769/1026 = [GCF of 3747,4769]/[LCM of 613,1026]= 1/628938
Therefore, the GCF of 3747/613,4769/1026 is 1/628938.
To find the highest common factor of 3747,4769, 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 4769 are 1, 19, 251, 4769
The HCF of 3747,4769 is 1.
Lets's calculate GCF of 3747,4769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3747,4769 By Matching Biggest Common Factor Method
Now, list down the factors of 3747
:1,3,1249,3747
Now, list down the factors of 4769
:1,19,251,4769
Greatest Common Factor
We found the factors 3747,4769 . The biggest common factor number is the GCF number.
So the greatest common factor 3747,4769 is 1.
Lets's calculate LCM of 613,1026
Given numbers has no common factors except 1. So, there LCM is their product i.e 628938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628938
Therefore, the GCF of Fractions 3747/613,4769/1026 is 1/628938
Least Common Multiple of 613,1026 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 613,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,1026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,1026) x common factors =1 x 1 = 1
LCM(613,1026) = ( 613 × 1026 ) / 1
LCM(613,1026) = 628938 / 1
LCM(613,1026) = 628938
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FAQs on GCF of Fractions of 3747/613, 4769/1026
1. What is the HCF of 3747,4769?
The HCF of 3747,4769 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 3747/613, 4769/1026?
Answer: GCF of Numerators as per given numbers 3747/613, 4769/1026 is
GCF of Numerators i.e. for 3747,4769 is 1
LCM of denominators i.e. for 613,1026 is 628938.
Thus, GCF of Fractions is 1/628938.Finally, GCF of Fractions for 3747/613, 4769/1026 is 1/628938.