GCF of 2966/871, 5678/9913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2966/871, 5678/9913 i.e 2/8634223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2966/871, 5678/9913.
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 2966/871,5678/9913?
Given fractions are 2966/871,5678/9913
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 2966/871,5678/9913, numerators are 2966,5678
Denominators are 871,9913
The GCF of 2966,5678 is 2 .
LCM of 871,9913 is 8634223.
The greatest common factor of 2966/871,5678/9913 = [GCF of 2966,5678]/[LCM of 871,9913]= 2/8634223
Therefore, the GCF of 2966/871,5678/9913 is 2/8634223.
To find the highest common factor of 2966,5678, we have to find the factors of both numbers and list the highest common factor.
The factors of 2966 are 1, 2, 1483, 2966
The factors of 5678 are 1, 2, 17, 34, 167, 334, 2839, 5678
The HCF of 2966,5678 is 2.
Lets's calculate GCF of 2966,5678
| 2 | 2966, 5678 |
| 1483, 2839 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2966,5678 By Matching Biggest Common Factor Method
Now, list down the factors of 2966
:1,2,1483,2966
Now, list down the factors of 5678
:1,2,17,34,167,334,2839,5678
Greatest Common Factor
We found the factors 2966,5678 . The biggest common factor number is the GCF number.
So the greatest common factor 2966,5678 is 2.
Lets's calculate LCM of 871,9913
Given numbers has no common factors except 1. So, there LCM is their product i.e 8634223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8634223
Therefore, the GCF of Fractions 2966/871,5678/9913 is 2/8634223
Least Common Multiple of 871,9913 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 871,9913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,9913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,9913) x common factors =1 x 1 = 1
LCM(871,9913) = ( 871 × 9913 ) / 1
LCM(871,9913) = 8634223 / 1
LCM(871,9913) = 8634223
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FAQs on GCF of Fractions of 2966/871, 5678/9913
1. What is the HCF of 2966,5678?
The HCF of 2966,5678 is 2
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 2966/871, 5678/9913?
Answer: GCF of Numerators as per given numbers 2966/871, 5678/9913 is
GCF of Numerators i.e. for 2966,5678 is 2
LCM of denominators i.e. for 871,9913 is 8634223.
Thus, GCF of Fractions is 2/8634223.Finally, GCF of Fractions for 2966/871, 5678/9913 is 2/8634223.