GCF of 934/543, 742/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 934/543, 742/844 i.e 2/458292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/543, 742/844.
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 934/543,742/844?
Given fractions are 934/543,742/844
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 934/543,742/844, numerators are 934,742
Denominators are 543,844
The GCF of 934,742 is 2 .
LCM of 543,844 is 458292.
The greatest common factor of 934/543,742/844 = [GCF of 934,742]/[LCM of 543,844]= 2/458292
Therefore, the GCF of 934/543,742/844 is 2/458292.
To find the highest common factor of 934,742, 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 742 are 1, 2, 7, 14, 53, 106, 371, 742
The HCF of 934,742 is 2.
Lets's calculate GCF of 934,742
| 2 | 934, 742 |
| 467, 371 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 934,742 By Matching Biggest Common Factor Method
Now, list down the factors of 934
:1,2,467,934
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 934,742 . The biggest common factor number is the GCF number.
So the greatest common factor 934,742 is 2.
Lets's calculate LCM of 543,844
Given numbers has no common factors except 1. So, there LCM is their product i.e 458292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458292
Therefore, the GCF of Fractions 934/543,742/844 is 2/458292
Least Common Multiple of 543,844 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 543,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,844) x common factors =1 x 1 = 1
LCM(543,844) = ( 543 × 844 ) / 1
LCM(543,844) = 458292 / 1
LCM(543,844) = 458292
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FAQs on GCF of Fractions of 934/543, 742/844
1. What is the HCF of 934,742?
The HCF of 934,742 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 934/543, 742/844?
Answer: GCF of Numerators as per given numbers 934/543, 742/844 is
GCF of Numerators i.e. for 934,742 is 2
LCM of denominators i.e. for 543,844 is 458292.
Thus, GCF of Fractions is 2/458292.Finally, GCF of Fractions for 934/543, 742/844 is 2/458292.