GCF of 9538/481, 7340/6642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9538/481, 7340/6642 i.e 2/3194802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9538/481, 7340/6642.
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 9538/481,7340/6642?
Given fractions are 9538/481,7340/6642
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 9538/481,7340/6642, numerators are 9538,7340
Denominators are 481,6642
The GCF of 9538,7340 is 2 .
LCM of 481,6642 is 3194802.
The greatest common factor of 9538/481,7340/6642 = [GCF of 9538,7340]/[LCM of 481,6642]= 2/3194802
Therefore, the GCF of 9538/481,7340/6642 is 2/3194802.
To find the highest common factor of 9538,7340, we have to find the factors of both numbers and list the highest common factor.
The factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538
The factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340
The HCF of 9538,7340 is 2.
Lets's calculate GCF of 9538,7340
| 2 | 9538, 7340 |
| 4769, 3670 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9538,7340 By Matching Biggest Common Factor Method
Now, list down the factors of 9538
:1,2,19,38,251,502,4769,9538
Now, list down the factors of 7340
:1,2,4,5,10,20,367,734,1468,1835,3670,7340
Greatest Common Factor
We found the factors 9538,7340 . The biggest common factor number is the GCF number.
So the greatest common factor 9538,7340 is 2.
Lets's calculate LCM of 481,6642
Given numbers has no common factors except 1. So, there LCM is their product i.e 3194802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3194802
Therefore, the GCF of Fractions 9538/481,7340/6642 is 2/3194802
Least Common Multiple of 481,6642 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 481,6642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,6642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,6642) x common factors =1 x 1 = 1
LCM(481,6642) = ( 481 × 6642 ) / 1
LCM(481,6642) = 3194802 / 1
LCM(481,6642) = 3194802
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FAQs on GCF of Fractions of 9538/481, 7340/6642
1. What is the HCF of 9538,7340?
The HCF of 9538,7340 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 9538/481, 7340/6642?
Answer: GCF of Numerators as per given numbers 9538/481, 7340/6642 is
GCF of Numerators i.e. for 9538,7340 is 2
LCM of denominators i.e. for 481,6642 is 3194802.
Thus, GCF of Fractions is 2/3194802.Finally, GCF of Fractions for 9538/481, 7340/6642 is 2/3194802.