GCF of 4749/614, 6569/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4749/614, 6569/317 i.e 1/194638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4749/614, 6569/317.
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 4749/614,6569/317?
Given fractions are 4749/614,6569/317
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 4749/614,6569/317, numerators are 4749,6569
Denominators are 614,317
The GCF of 4749,6569 is 1 .
LCM of 614,317 is 194638.
The greatest common factor of 4749/614,6569/317 = [GCF of 4749,6569]/[LCM of 614,317]= 1/194638
Therefore, the GCF of 4749/614,6569/317 is 1/194638.
To find the highest common factor of 4749,6569, we have to find the factors of both numbers and list the highest common factor.
The factors of 4749 are 1, 3, 1583, 4749
The factors of 6569 are 1, 6569
The HCF of 4749,6569 is 1.
Lets's calculate GCF of 4749,6569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4749,6569 By Matching Biggest Common Factor Method
Now, list down the factors of 4749
:1,3,1583,4749
Now, list down the factors of 6569
:1,6569
Greatest Common Factor
We found the factors 4749,6569 . The biggest common factor number is the GCF number.
So the greatest common factor 4749,6569 is 1.
Lets's calculate LCM of 614,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 194638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194638
Therefore, the GCF of Fractions 4749/614,6569/317 is 1/194638
Least Common Multiple of 614,317 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 614,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,317) x common factors =1 x 1 = 1
LCM(614,317) = ( 614 × 317 ) / 1
LCM(614,317) = 194638 / 1
LCM(614,317) = 194638
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FAQs on GCF of Fractions of 4749/614, 6569/317
1. What is the HCF of 4749,6569?
The HCF of 4749,6569 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 4749/614, 6569/317?
Answer: GCF of Numerators as per given numbers 4749/614, 6569/317 is
GCF of Numerators i.e. for 4749,6569 is 1
LCM of denominators i.e. for 614,317 is 194638.
Thus, GCF of Fractions is 1/194638.Finally, GCF of Fractions for 4749/614, 6569/317 is 1/194638.