GCF of 813/972, 7791/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 813/972, 7791/135 i.e 3/4860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/972, 7791/135.
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 813/972,7791/135?
Given fractions are 813/972,7791/135
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 813/972,7791/135, numerators are 813,7791
Denominators are 972,135
The GCF of 813,7791 is 3 .
LCM of 972,135 is 4860.
The greatest common factor of 813/972,7791/135 = [GCF of 813,7791]/[LCM of 972,135]= 3/4860
Therefore, the GCF of 813/972,7791/135 is 3/4860.
To find the highest common factor of 813,7791, we have to find the factors of both numbers and list the highest common factor.
The factors of 813 are 1, 3, 271, 813
The factors of 7791 are 1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791
The HCF of 813,7791 is 3.
Lets's calculate GCF of 813,7791
| 3 | 813, 7791 |
| 271, 2597 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 813,7791 By Matching Biggest Common Factor Method
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 7791
:1,3,7,21,49,53,147,159,371,1113,2597,7791
Greatest Common Factor
We found the factors 813,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 813,7791 is 3.
Lets's calculate LCM of 972,135
| 3 | 972, 135 |
| 3 | 324, 45 |
| 3 | 108, 15 |
| 36, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 36 x 5 = 4860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4860
Therefore, the GCF of Fractions 813/972,7791/135 is 3/4860
Least Common Multiple of 972,135 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 972,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,135) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(972,135) x common factors =27 x 1 = 27
LCM(972,135) = ( 972 × 135 ) / 27
LCM(972,135) = 131220 / 27
LCM(972,135) = 4860
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FAQs on GCF of Fractions of 813/972, 7791/135
1. What is the HCF of 813,7791?
The HCF of 813,7791 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 813/972, 7791/135?
Answer: GCF of Numerators as per given numbers 813/972, 7791/135 is
GCF of Numerators i.e. for 813,7791 is 3
LCM of denominators i.e. for 972,135 is 4860.
Thus, GCF of Fractions is 3/4860.Finally, GCF of Fractions for 813/972, 7791/135 is 3/4860.