GCF of 7494/542, 1742/7938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7494/542, 1742/7938 i.e 2/2151198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7494/542, 1742/7938.
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 7494/542,1742/7938?
Given fractions are 7494/542,1742/7938
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 7494/542,1742/7938, numerators are 7494,1742
Denominators are 542,7938
The GCF of 7494,1742 is 2 .
LCM of 542,7938 is 2151198.
The greatest common factor of 7494/542,1742/7938 = [GCF of 7494,1742]/[LCM of 542,7938]= 2/2151198
Therefore, the GCF of 7494/542,1742/7938 is 2/2151198.
To find the highest common factor of 7494,1742, we have to find the factors of both numbers and list the highest common factor.
The factors of 7494 are 1, 2, 3, 6, 1249, 2498, 3747, 7494
The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742
The HCF of 7494,1742 is 2.
Lets's calculate GCF of 7494,1742
| 2 | 7494, 1742 |
| 3747, 871 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7494,1742 By Matching Biggest Common Factor Method
Now, list down the factors of 7494
:1,2,3,6,1249,2498,3747,7494
Now, list down the factors of 1742
:1,2,13,26,67,134,871,1742
Greatest Common Factor
We found the factors 7494,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 7494,1742 is 2.
Lets's calculate LCM of 542,7938
| 2 | 542, 7938 |
| 271, 3969 |
∴ So the LCM of the given numbers is 2 x 271 x 3969 = 2151198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2151198
Therefore, the GCF of Fractions 7494/542,1742/7938 is 2/2151198
Least Common Multiple of 542,7938 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 542,7938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,7938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,7938) x common factors =2 x 1 = 2
LCM(542,7938) = ( 542 × 7938 ) / 2
LCM(542,7938) = 4302396 / 2
LCM(542,7938) = 2151198
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FAQs on GCF of Fractions of 7494/542, 1742/7938
1. What is the HCF of 7494,1742?
The HCF of 7494,1742 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 7494/542, 1742/7938?
Answer: GCF of Numerators as per given numbers 7494/542, 1742/7938 is
GCF of Numerators i.e. for 7494,1742 is 2
LCM of denominators i.e. for 542,7938 is 2151198.
Thus, GCF of Fractions is 2/2151198.Finally, GCF of Fractions for 7494/542, 1742/7938 is 2/2151198.