GCF of 9946/157, 2861/2707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9946/157, 2861/2707 i.e 1/424999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9946/157, 2861/2707.
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 9946/157,2861/2707?
Given fractions are 9946/157,2861/2707
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 9946/157,2861/2707, numerators are 9946,2861
Denominators are 157,2707
The GCF of 9946,2861 is 1 .
LCM of 157,2707 is 424999.
The greatest common factor of 9946/157,2861/2707 = [GCF of 9946,2861]/[LCM of 157,2707]= 1/424999
Therefore, the GCF of 9946/157,2861/2707 is 1/424999.
To find the highest common factor of 9946,2861, we have to find the factors of both numbers and list the highest common factor.
The factors of 9946 are 1, 2, 4973, 9946
The factors of 2861 are 1, 2861
The HCF of 9946,2861 is 1.
Lets's calculate GCF of 9946,2861
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9946,2861 By Matching Biggest Common Factor Method
Now, list down the factors of 9946
:1,2,4973,9946
Now, list down the factors of 2861
:1,2861
Greatest Common Factor
We found the factors 9946,2861 . The biggest common factor number is the GCF number.
So the greatest common factor 9946,2861 is 1.
Lets's calculate LCM of 157,2707
Given numbers has no common factors except 1. So, there LCM is their product i.e 424999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424999
Therefore, the GCF of Fractions 9946/157,2861/2707 is 1/424999
Least Common Multiple of 157,2707 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 157,2707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,2707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,2707) x common factors =1 x 1 = 1
LCM(157,2707) = ( 157 × 2707 ) / 1
LCM(157,2707) = 424999 / 1
LCM(157,2707) = 424999
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9946/157, 2861/2707
1. What is the HCF of 9946,2861?
The HCF of 9946,2861 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 9946/157, 2861/2707?
Answer: GCF of Numerators as per given numbers 9946/157, 2861/2707 is
GCF of Numerators i.e. for 9946,2861 is 1
LCM of denominators i.e. for 157,2707 is 424999.
Thus, GCF of Fractions is 1/424999.Finally, GCF of Fractions for 9946/157, 2861/2707 is 1/424999.