GCF of 7821/931, 1005/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7821/931, 1005/116 i.e 3/107996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7821/931, 1005/116.
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 7821/931,1005/116?
Given fractions are 7821/931,1005/116
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 7821/931,1005/116, numerators are 7821,1005
Denominators are 931,116
The GCF of 7821,1005 is 3 .
LCM of 931,116 is 107996.
The greatest common factor of 7821/931,1005/116 = [GCF of 7821,1005]/[LCM of 931,116]= 3/107996
Therefore, the GCF of 7821/931,1005/116 is 3/107996.
To find the highest common factor of 7821,1005, we have to find the factors of both numbers and list the highest common factor.
The factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
The HCF of 7821,1005 is 3.
Lets's calculate GCF of 7821,1005
| 3 | 7821, 1005 |
| 2607, 335 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7821,1005 By Matching Biggest Common Factor Method
Now, list down the factors of 7821
:1,3,9,11,33,79,99,237,711,869,2607,7821
Now, list down the factors of 1005
:1,3,5,15,67,201,335,1005
Greatest Common Factor
We found the factors 7821,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 7821,1005 is 3.
Lets's calculate LCM of 931,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 107996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/107996
Therefore, the GCF of Fractions 7821/931,1005/116 is 3/107996
Least Common Multiple of 931,116 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 931,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,116) x common factors =1 x 1 = 1
LCM(931,116) = ( 931 × 116 ) / 1
LCM(931,116) = 107996 / 1
LCM(931,116) = 107996
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FAQs on GCF of Fractions of 7821/931, 1005/116
1. What is the HCF of 7821,1005?
The HCF of 7821,1005 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 7821/931, 1005/116?
Answer: GCF of Numerators as per given numbers 7821/931, 1005/116 is
GCF of Numerators i.e. for 7821,1005 is 3
LCM of denominators i.e. for 931,116 is 107996.
Thus, GCF of Fractions is 3/107996.Finally, GCF of Fractions for 7821/931, 1005/116 is 3/107996.