GCF of 1281/783, 7926/6931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1281/783, 7926/6931 i.e 3/187137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1281/783, 7926/6931.
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 1281/783,7926/6931?
Given fractions are 1281/783,7926/6931
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 1281/783,7926/6931, numerators are 1281,7926
Denominators are 783,6931
The GCF of 1281,7926 is 3 .
LCM of 783,6931 is 187137.
The greatest common factor of 1281/783,7926/6931 = [GCF of 1281,7926]/[LCM of 783,6931]= 3/187137
Therefore, the GCF of 1281/783,7926/6931 is 3/187137.
To find the highest common factor of 1281,7926, we have to find the factors of both numbers and list the highest common factor.
The factors of 1281 are 1, 3, 7, 21, 61, 183, 427, 1281
The factors of 7926 are 1, 2, 3, 6, 1321, 2642, 3963, 7926
The HCF of 1281,7926 is 3.
Lets's calculate GCF of 1281,7926
| 3 | 1281, 7926 |
| 427, 2642 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1281,7926 By Matching Biggest Common Factor Method
Now, list down the factors of 1281
:1,3,7,21,61,183,427,1281
Now, list down the factors of 7926
:1,2,3,6,1321,2642,3963,7926
Greatest Common Factor
We found the factors 1281,7926 . The biggest common factor number is the GCF number.
So the greatest common factor 1281,7926 is 3.
Lets's calculate LCM of 783,6931
| 29 | 783, 6931 |
| 27, 239 |
∴ So the LCM of the given numbers is 29 x 27 x 239 = 187137
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/187137
Therefore, the GCF of Fractions 1281/783,7926/6931 is 3/187137
Least Common Multiple of 783,6931 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 783,6931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,6931) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(783,6931) x common factors =29 x 1 = 29
LCM(783,6931) = ( 783 × 6931 ) / 29
LCM(783,6931) = 5426973 / 29
LCM(783,6931) = 187137
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FAQs on GCF of Fractions of 1281/783, 7926/6931
1. What is the HCF of 1281,7926?
The HCF of 1281,7926 is 3
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 1281/783, 7926/6931?
Answer: GCF of Numerators as per given numbers 1281/783, 7926/6931 is
GCF of Numerators i.e. for 1281,7926 is 3
LCM of denominators i.e. for 783,6931 is 187137.
Thus, GCF of Fractions is 3/187137.Finally, GCF of Fractions for 1281/783, 7926/6931 is 3/187137.