GCF of 1938/981, 6936/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1938/981, 6936/817 i.e 102/801477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1938/981, 6936/817.
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 1938/981,6936/817?
Given fractions are 1938/981,6936/817
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 1938/981,6936/817, numerators are 1938,6936
Denominators are 981,817
The GCF of 1938,6936 is 102 .
LCM of 981,817 is 801477.
The greatest common factor of 1938/981,6936/817 = [GCF of 1938,6936]/[LCM of 981,817]= 102/801477
Therefore, the GCF of 1938/981,6936/817 is 102/801477.
To find the highest common factor of 1938,6936, we have to find the factors of both numbers and list the highest common factor.
The factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
The factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936
The HCF of 1938,6936 is 102.
Lets's calculate GCF of 1938,6936
| 2 | 1938, 6936 |
| 3 | 969, 3468 |
| 17 | 323, 1156 |
| 19, 68 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Greatest Common Factor of 1938,6936 By Matching Biggest Common Factor Method
Now, list down the factors of 1938
:1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938
Now, list down the factors of 6936
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936
Greatest Common Factor
We found the factors 1938,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 1938,6936 is 102.
Lets's calculate LCM of 981,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 801477
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/801477
Therefore, the GCF of Fractions 1938/981,6936/817 is 102/801477
Least Common Multiple of 981,817 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 981,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,817) x common factors =1 x 1 = 1
LCM(981,817) = ( 981 × 817 ) / 1
LCM(981,817) = 801477 / 1
LCM(981,817) = 801477
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FAQs on GCF of Fractions of 1938/981, 6936/817
1. What is the HCF of 1938,6936?
The HCF of 1938,6936 is 102
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 1938/981, 6936/817?
Answer: GCF of Numerators as per given numbers 1938/981, 6936/817 is
GCF of Numerators i.e. for 1938,6936 is 102
LCM of denominators i.e. for 981,817 is 801477.
Thus, GCF of Fractions is 102/801477.Finally, GCF of Fractions for 1938/981, 6936/817 is 102/801477.