GCF of 2907/463, 5731/5894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2907/463, 5731/5894 i.e 1/2728922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2907/463, 5731/5894.
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 2907/463,5731/5894?
Given fractions are 2907/463,5731/5894
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 2907/463,5731/5894, numerators are 2907,5731
Denominators are 463,5894
The GCF of 2907,5731 is 1 .
LCM of 463,5894 is 2728922.
The greatest common factor of 2907/463,5731/5894 = [GCF of 2907,5731]/[LCM of 463,5894]= 1/2728922
Therefore, the GCF of 2907/463,5731/5894 is 1/2728922.
To find the highest common factor of 2907,5731, we have to find the factors of both numbers and list the highest common factor.
The factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907
The factors of 5731 are 1, 11, 521, 5731
The HCF of 2907,5731 is 1.
Lets's calculate GCF of 2907,5731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2907,5731 By Matching Biggest Common Factor Method
Now, list down the factors of 2907
:1,3,9,17,19,51,57,153,171,323,969,2907
Now, list down the factors of 5731
:1,11,521,5731
Greatest Common Factor
We found the factors 2907,5731 . The biggest common factor number is the GCF number.
So the greatest common factor 2907,5731 is 1.
Lets's calculate LCM of 463,5894
Given numbers has no common factors except 1. So, there LCM is their product i.e 2728922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2728922
Therefore, the GCF of Fractions 2907/463,5731/5894 is 1/2728922
Least Common Multiple of 463,5894 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 463,5894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,5894) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,5894) x common factors =1 x 1 = 1
LCM(463,5894) = ( 463 × 5894 ) / 1
LCM(463,5894) = 2728922 / 1
LCM(463,5894) = 2728922
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FAQs on GCF of Fractions of 2907/463, 5731/5894
1. What is the HCF of 2907,5731?
The HCF of 2907,5731 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 2907/463, 5731/5894?
Answer: GCF of Numerators as per given numbers 2907/463, 5731/5894 is
GCF of Numerators i.e. for 2907,5731 is 1
LCM of denominators i.e. for 463,5894 is 2728922.
Thus, GCF of Fractions is 1/2728922.Finally, GCF of Fractions for 2907/463, 5731/5894 is 1/2728922.