GCF of 3023/697, 4064/787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3023/697, 4064/787 i.e 1/548539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3023/697, 4064/787.
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 3023/697,4064/787?
Given fractions are 3023/697,4064/787
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 3023/697,4064/787, numerators are 3023,4064
Denominators are 697,787
The GCF of 3023,4064 is 1 .
LCM of 697,787 is 548539.
The greatest common factor of 3023/697,4064/787 = [GCF of 3023,4064]/[LCM of 697,787]= 1/548539
Therefore, the GCF of 3023/697,4064/787 is 1/548539.
To find the highest common factor of 3023,4064, we have to find the factors of both numbers and list the highest common factor.
The factors of 3023 are 1, 3023
The factors of 4064 are 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064
The HCF of 3023,4064 is 1.
Lets's calculate GCF of 3023,4064
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3023,4064 By Matching Biggest Common Factor Method
Now, list down the factors of 3023
:1,3023
Now, list down the factors of 4064
:1,2,4,8,16,32,127,254,508,1016,2032,4064
Greatest Common Factor
We found the factors 3023,4064 . The biggest common factor number is the GCF number.
So the greatest common factor 3023,4064 is 1.
Lets's calculate LCM of 697,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 548539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548539
Therefore, the GCF of Fractions 3023/697,4064/787 is 1/548539
Least Common Multiple of 697,787 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 697,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,787) x common factors =1 x 1 = 1
LCM(697,787) = ( 697 × 787 ) / 1
LCM(697,787) = 548539 / 1
LCM(697,787) = 548539
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FAQs on GCF of Fractions of 3023/697, 4064/787
1. What is the HCF of 3023,4064?
The HCF of 3023,4064 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 3023/697, 4064/787?
Answer: GCF of Numerators as per given numbers 3023/697, 4064/787 is
GCF of Numerators i.e. for 3023,4064 is 1
LCM of denominators i.e. for 697,787 is 548539.
Thus, GCF of Fractions is 1/548539.Finally, GCF of Fractions for 3023/697, 4064/787 is 1/548539.