GCF of 4603/461, 6942/9305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4603/461, 6942/9305 i.e 1/4289605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4603/461, 6942/9305.
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 4603/461,6942/9305?
Given fractions are 4603/461,6942/9305
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 4603/461,6942/9305, numerators are 4603,6942
Denominators are 461,9305
The GCF of 4603,6942 is 1 .
LCM of 461,9305 is 4289605.
The greatest common factor of 4603/461,6942/9305 = [GCF of 4603,6942]/[LCM of 461,9305]= 1/4289605
Therefore, the GCF of 4603/461,6942/9305 is 1/4289605.
To find the highest common factor of 4603,6942, we have to find the factors of both numbers and list the highest common factor.
The factors of 4603 are 1, 4603
The factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942
The HCF of 4603,6942 is 1.
Lets's calculate GCF of 4603,6942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4603,6942 By Matching Biggest Common Factor Method
Now, list down the factors of 4603
:1,4603
Now, list down the factors of 6942
:1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Greatest Common Factor
We found the factors 4603,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 4603,6942 is 1.
Lets's calculate LCM of 461,9305
Given numbers has no common factors except 1. So, there LCM is their product i.e 4289605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4289605
Therefore, the GCF of Fractions 4603/461,6942/9305 is 1/4289605
Least Common Multiple of 461,9305 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 461,9305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,9305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,9305) x common factors =1 x 1 = 1
LCM(461,9305) = ( 461 × 9305 ) / 1
LCM(461,9305) = 4289605 / 1
LCM(461,9305) = 4289605
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FAQs on GCF of Fractions of 4603/461, 6942/9305
1. What is the HCF of 4603,6942?
The HCF of 4603,6942 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 4603/461, 6942/9305?
Answer: GCF of Numerators as per given numbers 4603/461, 6942/9305 is
GCF of Numerators i.e. for 4603,6942 is 1
LCM of denominators i.e. for 461,9305 is 4289605.
Thus, GCF of Fractions is 1/4289605.Finally, GCF of Fractions for 4603/461, 6942/9305 is 1/4289605.