GCF of 4479/114, 9623/7219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4479/114, 9623/7219 i.e 1/822966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4479/114, 9623/7219.
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 4479/114,9623/7219?
Given fractions are 4479/114,9623/7219
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 4479/114,9623/7219, numerators are 4479,9623
Denominators are 114,7219
The GCF of 4479,9623 is 1 .
LCM of 114,7219 is 822966.
The greatest common factor of 4479/114,9623/7219 = [GCF of 4479,9623]/[LCM of 114,7219]= 1/822966
Therefore, the GCF of 4479/114,9623/7219 is 1/822966.
To find the highest common factor of 4479,9623, we have to find the factors of both numbers and list the highest common factor.
The factors of 4479 are 1, 3, 1493, 4479
The factors of 9623 are 1, 9623
The HCF of 4479,9623 is 1.
Lets's calculate GCF of 4479,9623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4479,9623 By Matching Biggest Common Factor Method
Now, list down the factors of 4479
:1,3,1493,4479
Now, list down the factors of 9623
:1,9623
Greatest Common Factor
We found the factors 4479,9623 . The biggest common factor number is the GCF number.
So the greatest common factor 4479,9623 is 1.
Lets's calculate LCM of 114,7219
Given numbers has no common factors except 1. So, there LCM is their product i.e 822966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/822966
Therefore, the GCF of Fractions 4479/114,9623/7219 is 1/822966
Least Common Multiple of 114,7219 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 114,7219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,7219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(114,7219) x common factors =1 x 1 = 1
LCM(114,7219) = ( 114 × 7219 ) / 1
LCM(114,7219) = 822966 / 1
LCM(114,7219) = 822966
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FAQs on GCF of Fractions of 4479/114, 9623/7219
1. What is the HCF of 4479,9623?
The HCF of 4479,9623 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 4479/114, 9623/7219?
Answer: GCF of Numerators as per given numbers 4479/114, 9623/7219 is
GCF of Numerators i.e. for 4479,9623 is 1
LCM of denominators i.e. for 114,7219 is 822966.
Thus, GCF of Fractions is 1/822966.Finally, GCF of Fractions for 4479/114, 9623/7219 is 1/822966.