GCF of 5634/360, 9942/9340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5634/360, 9942/9340 i.e 6/168120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5634/360, 9942/9340.
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 5634/360,9942/9340?
Given fractions are 5634/360,9942/9340
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 5634/360,9942/9340, numerators are 5634,9942
Denominators are 360,9340
The GCF of 5634,9942 is 6 .
LCM of 360,9340 is 168120.
The greatest common factor of 5634/360,9942/9340 = [GCF of 5634,9942]/[LCM of 360,9340]= 6/168120
Therefore, the GCF of 5634/360,9942/9340 is 6/168120.
To find the highest common factor of 5634,9942, we have to find the factors of both numbers and list the highest common factor.
The factors of 5634 are 1, 2, 3, 6, 9, 18, 313, 626, 939, 1878, 2817, 5634
The factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942
The HCF of 5634,9942 is 6.
Lets's calculate GCF of 5634,9942
| 2 | 5634, 9942 |
| 3 | 2817, 4971 |
| 939, 1657 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5634,9942 By Matching Biggest Common Factor Method
Now, list down the factors of 5634
:1,2,3,6,9,18,313,626,939,1878,2817,5634
Now, list down the factors of 9942
:1,2,3,6,1657,3314,4971,9942
Greatest Common Factor
We found the factors 5634,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 5634,9942 is 6.
Lets's calculate LCM of 360,9340
| 2 | 360, 9340 |
| 2 | 180, 4670 |
| 5 | 90, 2335 |
| 18, 467 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 18 x 467 = 168120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/168120
Therefore, the GCF of Fractions 5634/360,9942/9340 is 6/168120
Least Common Multiple of 360,9340 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 360,9340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,9340) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(360,9340) x common factors =20 x 1 = 20
LCM(360,9340) = ( 360 × 9340 ) / 20
LCM(360,9340) = 3362400 / 20
LCM(360,9340) = 168120
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FAQs on GCF of Fractions of 5634/360, 9942/9340
1. What is the HCF of 5634,9942?
The HCF of 5634,9942 is 6
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 5634/360, 9942/9340?
Answer: GCF of Numerators as per given numbers 5634/360, 9942/9340 is
GCF of Numerators i.e. for 5634,9942 is 6
LCM of denominators i.e. for 360,9340 is 168120.
Thus, GCF of Fractions is 6/168120.Finally, GCF of Fractions for 5634/360, 9942/9340 is 6/168120.