GCF of 2701/931, 6763/8085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2701/931, 6763/8085 i.e 1/153615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2701/931, 6763/8085.
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 2701/931,6763/8085?
Given fractions are 2701/931,6763/8085
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 2701/931,6763/8085, numerators are 2701,6763
Denominators are 931,8085
The GCF of 2701,6763 is 1 .
LCM of 931,8085 is 153615.
The greatest common factor of 2701/931,6763/8085 = [GCF of 2701,6763]/[LCM of 931,8085]= 1/153615
Therefore, the GCF of 2701/931,6763/8085 is 1/153615.
To find the highest common factor of 2701,6763, we have to find the factors of both numbers and list the highest common factor.
The factors of 2701 are 1, 37, 73, 2701
The factors of 6763 are 1, 6763
The HCF of 2701,6763 is 1.
Lets's calculate GCF of 2701,6763
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2701,6763 By Matching Biggest Common Factor Method
Now, list down the factors of 2701
:1,37,73,2701
Now, list down the factors of 6763
:1,6763
Greatest Common Factor
We found the factors 2701,6763 . The biggest common factor number is the GCF number.
So the greatest common factor 2701,6763 is 1.
Lets's calculate LCM of 931,8085
| 7 | 931, 8085 |
| 7 | 133, 1155 |
| 19, 165 |
∴ So the LCM of the given numbers is 7 x 7 x 19 x 165 = 153615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153615
Therefore, the GCF of Fractions 2701/931,6763/8085 is 1/153615
Least Common Multiple of 931,8085 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 931,8085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,8085) = 49
common factors(in case of two or more numbers have common factors) = 1
GCF(931,8085) x common factors =49 x 1 = 49
LCM(931,8085) = ( 931 × 8085 ) / 49
LCM(931,8085) = 7527135 / 49
LCM(931,8085) = 153615
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FAQs on GCF of Fractions of 2701/931, 6763/8085
1. What is the HCF of 2701,6763?
The HCF of 2701,6763 is 1
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 2701/931, 6763/8085?
Answer: GCF of Numerators as per given numbers 2701/931, 6763/8085 is
GCF of Numerators i.e. for 2701,6763 is 1
LCM of denominators i.e. for 931,8085 is 153615.
Thus, GCF of Fractions is 1/153615.Finally, GCF of Fractions for 2701/931, 6763/8085 is 1/153615.