GCF of 1957/216, 9963/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1957/216, 9963/102 i.e 1/3672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1957/216, 9963/102.
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 1957/216,9963/102?
Given fractions are 1957/216,9963/102
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 1957/216,9963/102, numerators are 1957,9963
Denominators are 216,102
The GCF of 1957,9963 is 1 .
LCM of 216,102 is 3672.
The greatest common factor of 1957/216,9963/102 = [GCF of 1957,9963]/[LCM of 216,102]= 1/3672
Therefore, the GCF of 1957/216,9963/102 is 1/3672.
To find the highest common factor of 1957,9963, we have to find the factors of both numbers and list the highest common factor.
The factors of 1957 are 1, 19, 103, 1957
The factors of 9963 are 1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963
The HCF of 1957,9963 is 1.
Lets's calculate GCF of 1957,9963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1957,9963 By Matching Biggest Common Factor Method
Now, list down the factors of 1957
:1,19,103,1957
Now, list down the factors of 9963
:1,3,9,27,41,81,123,243,369,1107,3321,9963
Greatest Common Factor
We found the factors 1957,9963 . The biggest common factor number is the GCF number.
So the greatest common factor 1957,9963 is 1.
Lets's calculate LCM of 216,102
| 2 | 216, 102 |
| 3 | 108, 51 |
| 36, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 36 x 17 = 3672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3672
Therefore, the GCF of Fractions 1957/216,9963/102 is 1/3672
Least Common Multiple of 216,102 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 216,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,102) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(216,102) x common factors =6 x 1 = 6
LCM(216,102) = ( 216 × 102 ) / 6
LCM(216,102) = 22032 / 6
LCM(216,102) = 3672
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FAQs on GCF of Fractions of 1957/216, 9963/102
1. What is the HCF of 1957,9963?
The HCF of 1957,9963 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 1957/216, 9963/102?
Answer: GCF of Numerators as per given numbers 1957/216, 9963/102 is
GCF of Numerators i.e. for 1957,9963 is 1
LCM of denominators i.e. for 216,102 is 3672.
Thus, GCF of Fractions is 1/3672.Finally, GCF of Fractions for 1957/216, 9963/102 is 1/3672.