GCF of 8540/159, 7376/9742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8540/159, 7376/9742 i.e 4/1548978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8540/159, 7376/9742.
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 8540/159,7376/9742?
Given fractions are 8540/159,7376/9742
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 8540/159,7376/9742, numerators are 8540,7376
Denominators are 159,9742
The GCF of 8540,7376 is 4 .
LCM of 159,9742 is 1548978.
The greatest common factor of 8540/159,7376/9742 = [GCF of 8540,7376]/[LCM of 159,9742]= 4/1548978
Therefore, the GCF of 8540/159,7376/9742 is 4/1548978.
To find the highest common factor of 8540,7376, we have to find the factors of both numbers and list the highest common factor.
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376
The HCF of 8540,7376 is 4.
Lets's calculate GCF of 8540,7376
| 2 | 8540, 7376 |
| 2 | 4270, 3688 |
| 2135, 1844 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8540,7376 By Matching Biggest Common Factor Method
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Now, list down the factors of 7376
:1,2,4,8,16,461,922,1844,3688,7376
Greatest Common Factor
We found the factors 8540,7376 . The biggest common factor number is the GCF number.
So the greatest common factor 8540,7376 is 4.
Lets's calculate LCM of 159,9742
Given numbers has no common factors except 1. So, there LCM is their product i.e 1548978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1548978
Therefore, the GCF of Fractions 8540/159,7376/9742 is 4/1548978
Least Common Multiple of 159,9742 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 159,9742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,9742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,9742) x common factors =1 x 1 = 1
LCM(159,9742) = ( 159 × 9742 ) / 1
LCM(159,9742) = 1548978 / 1
LCM(159,9742) = 1548978
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FAQs on GCF of Fractions of 8540/159, 7376/9742
1. What is the HCF of 8540,7376?
The HCF of 8540,7376 is 4
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 8540/159, 7376/9742?
Answer: GCF of Numerators as per given numbers 8540/159, 7376/9742 is
GCF of Numerators i.e. for 8540,7376 is 4
LCM of denominators i.e. for 159,9742 is 1548978.
Thus, GCF of Fractions is 4/1548978.Finally, GCF of Fractions for 8540/159, 7376/9742 is 4/1548978.