GCF of 9703/543, 6196/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9703/543, 6196/678 i.e 1/122718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9703/543, 6196/678.
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 9703/543,6196/678?
Given fractions are 9703/543,6196/678
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 9703/543,6196/678, numerators are 9703,6196
Denominators are 543,678
The GCF of 9703,6196 is 1 .
LCM of 543,678 is 122718.
The greatest common factor of 9703/543,6196/678 = [GCF of 9703,6196]/[LCM of 543,678]= 1/122718
Therefore, the GCF of 9703/543,6196/678 is 1/122718.
To find the highest common factor of 9703,6196, we have to find the factors of both numbers and list the highest common factor.
The factors of 9703 are 1, 31, 313, 9703
The factors of 6196 are 1, 2, 4, 1549, 3098, 6196
The HCF of 9703,6196 is 1.
Lets's calculate GCF of 9703,6196
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9703,6196 By Matching Biggest Common Factor Method
Now, list down the factors of 9703
:1,31,313,9703
Now, list down the factors of 6196
:1,2,4,1549,3098,6196
Greatest Common Factor
We found the factors 9703,6196 . The biggest common factor number is the GCF number.
So the greatest common factor 9703,6196 is 1.
Lets's calculate LCM of 543,678
| 3 | 543, 678 |
| 181, 226 |
∴ So the LCM of the given numbers is 3 x 181 x 226 = 122718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122718
Therefore, the GCF of Fractions 9703/543,6196/678 is 1/122718
Least Common Multiple of 543,678 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 543,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,678) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,678) x common factors =3 x 1 = 3
LCM(543,678) = ( 543 × 678 ) / 3
LCM(543,678) = 368154 / 3
LCM(543,678) = 122718
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FAQs on GCF of Fractions of 9703/543, 6196/678
1. What is the HCF of 9703,6196?
The HCF of 9703,6196 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 9703/543, 6196/678?
Answer: GCF of Numerators as per given numbers 9703/543, 6196/678 is
GCF of Numerators i.e. for 9703,6196 is 1
LCM of denominators i.e. for 543,678 is 122718.
Thus, GCF of Fractions is 1/122718.Finally, GCF of Fractions for 9703/543, 6196/678 is 1/122718.