GCF of 949/54, 724/749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 949/54, 724/749 i.e 1/40446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/54, 724/749.
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 949/54,724/749?
Given fractions are 949/54,724/749
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 949/54,724/749, numerators are 949,724
Denominators are 54,749
The GCF of 949,724 is 1 .
LCM of 54,749 is 40446.
The greatest common factor of 949/54,724/749 = [GCF of 949,724]/[LCM of 54,749]= 1/40446
Therefore, the GCF of 949/54,724/749 is 1/40446.
To find the highest common factor of 949,724, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
The factors of 724 are 1, 2, 4, 181, 362, 724
The HCF of 949,724 is 1.
Lets's calculate GCF of 949,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 949,724 By Matching Biggest Common Factor Method
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 724
:1,2,4,181,362,724
Greatest Common Factor
We found the factors 949,724 . The biggest common factor number is the GCF number.
So the greatest common factor 949,724 is 1.
Lets's calculate LCM of 54,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 40446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40446
Therefore, the GCF of Fractions 949/54,724/749 is 1/40446
Least Common Multiple of 54,749 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 54,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,749) x common factors =1 x 1 = 1
LCM(54,749) = ( 54 × 749 ) / 1
LCM(54,749) = 40446 / 1
LCM(54,749) = 40446
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 949/54, 724/749
1. What is the HCF of 949,724?
The HCF of 949,724 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 949/54, 724/749?
Answer: GCF of Numerators as per given numbers 949/54, 724/749 is
GCF of Numerators i.e. for 949,724 is 1
LCM of denominators i.e. for 54,749 is 40446.
Thus, GCF of Fractions is 1/40446.Finally, GCF of Fractions for 949/54, 724/749 is 1/40446.