GCF of 7422/494, 1597/9940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7422/494, 1597/9940 i.e 1/2455180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7422/494, 1597/9940.
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 7422/494,1597/9940?
Given fractions are 7422/494,1597/9940
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 7422/494,1597/9940, numerators are 7422,1597
Denominators are 494,9940
The GCF of 7422,1597 is 1 .
LCM of 494,9940 is 2455180.
The greatest common factor of 7422/494,1597/9940 = [GCF of 7422,1597]/[LCM of 494,9940]= 1/2455180
Therefore, the GCF of 7422/494,1597/9940 is 1/2455180.
To find the highest common factor of 7422,1597, we have to find the factors of both numbers and list the highest common factor.
The factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422
The factors of 1597 are 1, 1597
The HCF of 7422,1597 is 1.
Lets's calculate GCF of 7422,1597
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7422,1597 By Matching Biggest Common Factor Method
Now, list down the factors of 7422
:1,2,3,6,1237,2474,3711,7422
Now, list down the factors of 1597
:1,1597
Greatest Common Factor
We found the factors 7422,1597 . The biggest common factor number is the GCF number.
So the greatest common factor 7422,1597 is 1.
Lets's calculate LCM of 494,9940
| 2 | 494, 9940 |
| 247, 4970 |
∴ So the LCM of the given numbers is 2 x 247 x 4970 = 2455180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2455180
Therefore, the GCF of Fractions 7422/494,1597/9940 is 1/2455180
Least Common Multiple of 494,9940 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 494,9940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,9940) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,9940) x common factors =2 x 1 = 2
LCM(494,9940) = ( 494 × 9940 ) / 2
LCM(494,9940) = 4910360 / 2
LCM(494,9940) = 2455180
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FAQs on GCF of Fractions of 7422/494, 1597/9940
1. What is the HCF of 7422,1597?
The HCF of 7422,1597 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 7422/494, 1597/9940?
Answer: GCF of Numerators as per given numbers 7422/494, 1597/9940 is
GCF of Numerators i.e. for 7422,1597 is 1
LCM of denominators i.e. for 494,9940 is 2455180.
Thus, GCF of Fractions is 1/2455180.Finally, GCF of Fractions for 7422/494, 1597/9940 is 1/2455180.