GCF of 934/721, 226/713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 934/721, 226/713 i.e 2/514073 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/721, 226/713.
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 934/721,226/713?
Given fractions are 934/721,226/713
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 934/721,226/713, numerators are 934,226
Denominators are 721,713
The GCF of 934,226 is 2 .
LCM of 721,713 is 514073.
The greatest common factor of 934/721,226/713 = [GCF of 934,226]/[LCM of 721,713]= 2/514073
Therefore, the GCF of 934/721,226/713 is 2/514073.
To find the highest common factor of 934,226, we have to find the factors of both numbers and list the highest common factor.
The factors of 934 are 1, 2, 467, 934
The factors of 226 are 1, 2, 113, 226
The HCF of 934,226 is 2.
Lets's calculate GCF of 934,226
| 2 | 934, 226 |
| 467, 113 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 934,226 By Matching Biggest Common Factor Method
Now, list down the factors of 934
:1,2,467,934
Now, list down the factors of 226
:1,2,113,226
Greatest Common Factor
We found the factors 934,226 . The biggest common factor number is the GCF number.
So the greatest common factor 934,226 is 2.
Lets's calculate LCM of 721,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 514073
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/514073
Therefore, the GCF of Fractions 934/721,226/713 is 2/514073
Least Common Multiple of 721,713 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 721,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,713) x common factors =1 x 1 = 1
LCM(721,713) = ( 721 × 713 ) / 1
LCM(721,713) = 514073 / 1
LCM(721,713) = 514073
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FAQs on GCF of Fractions of 934/721, 226/713
1. What is the HCF of 934,226?
The HCF of 934,226 is 2
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 934/721, 226/713?
Answer: GCF of Numerators as per given numbers 934/721, 226/713 is
GCF of Numerators i.e. for 934,226 is 2
LCM of denominators i.e. for 721,713 is 514073.
Thus, GCF of Fractions is 2/514073.Finally, GCF of Fractions for 934/721, 226/713 is 2/514073.