GCF of 1963/102, 9945/4294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1963/102, 9945/4294 i.e 13/218994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1963/102, 9945/4294.
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 1963/102,9945/4294?
Given fractions are 1963/102,9945/4294
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 1963/102,9945/4294, numerators are 1963,9945
Denominators are 102,4294
The GCF of 1963,9945 is 13 .
LCM of 102,4294 is 218994.
The greatest common factor of 1963/102,9945/4294 = [GCF of 1963,9945]/[LCM of 102,4294]= 13/218994
Therefore, the GCF of 1963/102,9945/4294 is 13/218994.
To find the highest common factor of 1963,9945, we have to find the factors of both numbers and list the highest common factor.
The factors of 1963 are 1, 13, 151, 1963
The factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945
The HCF of 1963,9945 is 13.
Lets's calculate GCF of 1963,9945
| 13 | 1963, 9945 |
| 151, 765 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1963,9945 By Matching Biggest Common Factor Method
Now, list down the factors of 1963
:1,13,151,1963
Now, list down the factors of 9945
:1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 1963,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 1963,9945 is 13.
Lets's calculate LCM of 102,4294
| 2 | 102, 4294 |
| 51, 2147 |
∴ So the LCM of the given numbers is 2 x 51 x 2147 = 218994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/218994
Therefore, the GCF of Fractions 1963/102,9945/4294 is 13/218994
Least Common Multiple of 102,4294 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 102,4294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,4294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,4294) x common factors =2 x 1 = 2
LCM(102,4294) = ( 102 × 4294 ) / 2
LCM(102,4294) = 437988 / 2
LCM(102,4294) = 218994
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FAQs on GCF of Fractions of 1963/102, 9945/4294
1. What is the HCF of 1963,9945?
The HCF of 1963,9945 is 13
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 1963/102, 9945/4294?
Answer: GCF of Numerators as per given numbers 1963/102, 9945/4294 is
GCF of Numerators i.e. for 1963,9945 is 13
LCM of denominators i.e. for 102,4294 is 218994.
Thus, GCF of Fractions is 13/218994.Finally, GCF of Fractions for 1963/102, 9945/4294 is 13/218994.