GCF of 8537/123, 2694/9712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8537/123, 2694/9712 i.e 1/1194576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8537/123, 2694/9712.
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 8537/123,2694/9712?
Given fractions are 8537/123,2694/9712
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 8537/123,2694/9712, numerators are 8537,2694
Denominators are 123,9712
The GCF of 8537,2694 is 1 .
LCM of 123,9712 is 1194576.
The greatest common factor of 8537/123,2694/9712 = [GCF of 8537,2694]/[LCM of 123,9712]= 1/1194576
Therefore, the GCF of 8537/123,2694/9712 is 1/1194576.
To find the highest common factor of 8537,2694, we have to find the factors of both numbers and list the highest common factor.
The factors of 8537 are 1, 8537
The factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694
The HCF of 8537,2694 is 1.
Lets's calculate GCF of 8537,2694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8537,2694 By Matching Biggest Common Factor Method
Now, list down the factors of 8537
:1,8537
Now, list down the factors of 2694
:1,2,3,6,449,898,1347,2694
Greatest Common Factor
We found the factors 8537,2694 . The biggest common factor number is the GCF number.
So the greatest common factor 8537,2694 is 1.
Lets's calculate LCM of 123,9712
Given numbers has no common factors except 1. So, there LCM is their product i.e 1194576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1194576
Therefore, the GCF of Fractions 8537/123,2694/9712 is 1/1194576
Least Common Multiple of 123,9712 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 123,9712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,9712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,9712) x common factors =1 x 1 = 1
LCM(123,9712) = ( 123 × 9712 ) / 1
LCM(123,9712) = 1194576 / 1
LCM(123,9712) = 1194576
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FAQs on GCF of Fractions of 8537/123, 2694/9712
1. What is the HCF of 8537,2694?
The HCF of 8537,2694 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 8537/123, 2694/9712?
Answer: GCF of Numerators as per given numbers 8537/123, 2694/9712 is
GCF of Numerators i.e. for 8537,2694 is 1
LCM of denominators i.e. for 123,9712 is 1194576.
Thus, GCF of Fractions is 1/1194576.Finally, GCF of Fractions for 8537/123, 2694/9712 is 1/1194576.