GCF of 4698/637, 7715/5784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4698/637, 7715/5784 i.e 1/3684408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4698/637, 7715/5784.
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 4698/637,7715/5784?
Given fractions are 4698/637,7715/5784
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 4698/637,7715/5784, numerators are 4698,7715
Denominators are 637,5784
The GCF of 4698,7715 is 1 .
LCM of 637,5784 is 3684408.
The greatest common factor of 4698/637,7715/5784 = [GCF of 4698,7715]/[LCM of 637,5784]= 1/3684408
Therefore, the GCF of 4698/637,7715/5784 is 1/3684408.
To find the highest common factor of 4698,7715, we have to find the factors of both numbers and list the highest common factor.
The factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698
The factors of 7715 are 1, 5, 1543, 7715
The HCF of 4698,7715 is 1.
Lets's calculate GCF of 4698,7715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4698,7715 By Matching Biggest Common Factor Method
Now, list down the factors of 4698
:1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698
Now, list down the factors of 7715
:1,5,1543,7715
Greatest Common Factor
We found the factors 4698,7715 . The biggest common factor number is the GCF number.
So the greatest common factor 4698,7715 is 1.
Lets's calculate LCM of 637,5784
Given numbers has no common factors except 1. So, there LCM is their product i.e 3684408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3684408
Therefore, the GCF of Fractions 4698/637,7715/5784 is 1/3684408
Least Common Multiple of 637,5784 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 637,5784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,5784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,5784) x common factors =1 x 1 = 1
LCM(637,5784) = ( 637 × 5784 ) / 1
LCM(637,5784) = 3684408 / 1
LCM(637,5784) = 3684408
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FAQs on GCF of Fractions of 4698/637, 7715/5784
1. What is the HCF of 4698,7715?
The HCF of 4698,7715 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 4698/637, 7715/5784?
Answer: GCF of Numerators as per given numbers 4698/637, 7715/5784 is
GCF of Numerators i.e. for 4698,7715 is 1
LCM of denominators i.e. for 637,5784 is 3684408.
Thus, GCF of Fractions is 1/3684408.Finally, GCF of Fractions for 4698/637, 7715/5784 is 1/3684408.