GCF of 9847/101, 2717/6869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9847/101, 2717/6869 i.e 1/693769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9847/101, 2717/6869.
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 9847/101,2717/6869?
Given fractions are 9847/101,2717/6869
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 9847/101,2717/6869, numerators are 9847,2717
Denominators are 101,6869
The GCF of 9847,2717 is 1 .
LCM of 101,6869 is 693769.
The greatest common factor of 9847/101,2717/6869 = [GCF of 9847,2717]/[LCM of 101,6869]= 1/693769
Therefore, the GCF of 9847/101,2717/6869 is 1/693769.
To find the highest common factor of 9847,2717, we have to find the factors of both numbers and list the highest common factor.
The factors of 9847 are 1, 43, 229, 9847
The factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717
The HCF of 9847,2717 is 1.
Lets's calculate GCF of 9847,2717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9847,2717 By Matching Biggest Common Factor Method
Now, list down the factors of 9847
:1,43,229,9847
Now, list down the factors of 2717
:1,11,13,19,143,209,247,2717
Greatest Common Factor
We found the factors 9847,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 9847,2717 is 1.
Lets's calculate LCM of 101,6869
Given numbers has no common factors except 1. So, there LCM is their product i.e 693769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693769
Therefore, the GCF of Fractions 9847/101,2717/6869 is 1/693769
Least Common Multiple of 101,6869 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 101,6869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,6869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,6869) x common factors =1 x 1 = 1
LCM(101,6869) = ( 101 × 6869 ) / 1
LCM(101,6869) = 693769 / 1
LCM(101,6869) = 693769
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FAQs on GCF of Fractions of 9847/101, 2717/6869
1. What is the HCF of 9847,2717?
The HCF of 9847,2717 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 9847/101, 2717/6869?
Answer: GCF of Numerators as per given numbers 9847/101, 2717/6869 is
GCF of Numerators i.e. for 9847,2717 is 1
LCM of denominators i.e. for 101,6869 is 693769.
Thus, GCF of Fractions is 1/693769.Finally, GCF of Fractions for 9847/101, 2717/6869 is 1/693769.