GCF of 4402/754, 8609/9943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4402/754, 8609/9943 i.e 1/7497022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4402/754, 8609/9943.
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 4402/754,8609/9943?
Given fractions are 4402/754,8609/9943
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 4402/754,8609/9943, numerators are 4402,8609
Denominators are 754,9943
The GCF of 4402,8609 is 1 .
LCM of 754,9943 is 7497022.
The greatest common factor of 4402/754,8609/9943 = [GCF of 4402,8609]/[LCM of 754,9943]= 1/7497022
Therefore, the GCF of 4402/754,8609/9943 is 1/7497022.
To find the highest common factor of 4402,8609, we have to find the factors of both numbers and list the highest common factor.
The factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402
The factors of 8609 are 1, 8609
The HCF of 4402,8609 is 1.
Lets's calculate GCF of 4402,8609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4402,8609 By Matching Biggest Common Factor Method
Now, list down the factors of 4402
:1,2,31,62,71,142,2201,4402
Now, list down the factors of 8609
:1,8609
Greatest Common Factor
We found the factors 4402,8609 . The biggest common factor number is the GCF number.
So the greatest common factor 4402,8609 is 1.
Lets's calculate LCM of 754,9943
Given numbers has no common factors except 1. So, there LCM is their product i.e 7497022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7497022
Therefore, the GCF of Fractions 4402/754,8609/9943 is 1/7497022
Least Common Multiple of 754,9943 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 754,9943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,9943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(754,9943) x common factors =1 x 1 = 1
LCM(754,9943) = ( 754 × 9943 ) / 1
LCM(754,9943) = 7497022 / 1
LCM(754,9943) = 7497022
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4402/754, 8609/9943
1. What is the HCF of 4402,8609?
The HCF of 4402,8609 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 4402/754, 8609/9943?
Answer: GCF of Numerators as per given numbers 4402/754, 8609/9943 is
GCF of Numerators i.e. for 4402,8609 is 1
LCM of denominators i.e. for 754,9943 is 7497022.
Thus, GCF of Fractions is 1/7497022.Finally, GCF of Fractions for 4402/754, 8609/9943 is 1/7497022.