GCF of 2959/286, 6506/9287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2959/286, 6506/9287 i.e 1/2656082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2959/286, 6506/9287.
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 2959/286,6506/9287?
Given fractions are 2959/286,6506/9287
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 2959/286,6506/9287, numerators are 2959,6506
Denominators are 286,9287
The GCF of 2959,6506 is 1 .
LCM of 286,9287 is 2656082.
The greatest common factor of 2959/286,6506/9287 = [GCF of 2959,6506]/[LCM of 286,9287]= 1/2656082
Therefore, the GCF of 2959/286,6506/9287 is 1/2656082.
To find the highest common factor of 2959,6506, we have to find the factors of both numbers and list the highest common factor.
The factors of 2959 are 1, 11, 269, 2959
The factors of 6506 are 1, 2, 3253, 6506
The HCF of 2959,6506 is 1.
Lets's calculate GCF of 2959,6506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2959,6506 By Matching Biggest Common Factor Method
Now, list down the factors of 2959
:1,11,269,2959
Now, list down the factors of 6506
:1,2,3253,6506
Greatest Common Factor
We found the factors 2959,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 2959,6506 is 1.
Lets's calculate LCM of 286,9287
Given numbers has no common factors except 1. So, there LCM is their product i.e 2656082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2656082
Therefore, the GCF of Fractions 2959/286,6506/9287 is 1/2656082
Least Common Multiple of 286,9287 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 286,9287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,9287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(286,9287) x common factors =1 x 1 = 1
LCM(286,9287) = ( 286 × 9287 ) / 1
LCM(286,9287) = 2656082 / 1
LCM(286,9287) = 2656082
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FAQs on GCF of Fractions of 2959/286, 6506/9287
1. What is the HCF of 2959,6506?
The HCF of 2959,6506 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 2959/286, 6506/9287?
Answer: GCF of Numerators as per given numbers 2959/286, 6506/9287 is
GCF of Numerators i.e. for 2959,6506 is 1
LCM of denominators i.e. for 286,9287 is 2656082.
Thus, GCF of Fractions is 1/2656082.Finally, GCF of Fractions for 2959/286, 6506/9287 is 1/2656082.