GCF of 4417/196, 8663/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4417/196, 8663/769 i.e 1/150724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4417/196, 8663/769.
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 4417/196,8663/769?
Given fractions are 4417/196,8663/769
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 4417/196,8663/769, numerators are 4417,8663
Denominators are 196,769
The GCF of 4417,8663 is 1 .
LCM of 196,769 is 150724.
The greatest common factor of 4417/196,8663/769 = [GCF of 4417,8663]/[LCM of 196,769]= 1/150724
Therefore, the GCF of 4417/196,8663/769 is 1/150724.
To find the highest common factor of 4417,8663, we have to find the factors of both numbers and list the highest common factor.
The factors of 4417 are 1, 7, 631, 4417
The factors of 8663 are 1, 8663
The HCF of 4417,8663 is 1.
Lets's calculate GCF of 4417,8663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4417,8663 By Matching Biggest Common Factor Method
Now, list down the factors of 4417
:1,7,631,4417
Now, list down the factors of 8663
:1,8663
Greatest Common Factor
We found the factors 4417,8663 . The biggest common factor number is the GCF number.
So the greatest common factor 4417,8663 is 1.
Lets's calculate LCM of 196,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 150724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150724
Therefore, the GCF of Fractions 4417/196,8663/769 is 1/150724
Least Common Multiple of 196,769 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 196,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,769) x common factors =1 x 1 = 1
LCM(196,769) = ( 196 × 769 ) / 1
LCM(196,769) = 150724 / 1
LCM(196,769) = 150724
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FAQs on GCF of Fractions of 4417/196, 8663/769
1. What is the HCF of 4417,8663?
The HCF of 4417,8663 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 4417/196, 8663/769?
Answer: GCF of Numerators as per given numbers 4417/196, 8663/769 is
GCF of Numerators i.e. for 4417,8663 is 1
LCM of denominators i.e. for 196,769 is 150724.
Thus, GCF of Fractions is 1/150724.Finally, GCF of Fractions for 4417/196, 8663/769 is 1/150724.