GCF of 2158/927, 1310/2641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2158/927, 1310/2641 i.e 2/2448207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2158/927, 1310/2641.
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 2158/927,1310/2641?
Given fractions are 2158/927,1310/2641
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 2158/927,1310/2641, numerators are 2158,1310
Denominators are 927,2641
The GCF of 2158,1310 is 2 .
LCM of 927,2641 is 2448207.
The greatest common factor of 2158/927,1310/2641 = [GCF of 2158,1310]/[LCM of 927,2641]= 2/2448207
Therefore, the GCF of 2158/927,1310/2641 is 2/2448207.
To find the highest common factor of 2158,1310, we have to find the factors of both numbers and list the highest common factor.
The factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158
The factors of 1310 are 1, 2, 5, 10, 131, 262, 655, 1310
The HCF of 2158,1310 is 2.
Lets's calculate GCF of 2158,1310
| 2 | 2158, 1310 |
| 1079, 655 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2158,1310 By Matching Biggest Common Factor Method
Now, list down the factors of 2158
:1,2,13,26,83,166,1079,2158
Now, list down the factors of 1310
:1,2,5,10,131,262,655,1310
Greatest Common Factor
We found the factors 2158,1310 . The biggest common factor number is the GCF number.
So the greatest common factor 2158,1310 is 2.
Lets's calculate LCM of 927,2641
Given numbers has no common factors except 1. So, there LCM is their product i.e 2448207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2448207
Therefore, the GCF of Fractions 2158/927,1310/2641 is 2/2448207
Least Common Multiple of 927,2641 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 927,2641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,2641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,2641) x common factors =1 x 1 = 1
LCM(927,2641) = ( 927 × 2641 ) / 1
LCM(927,2641) = 2448207 / 1
LCM(927,2641) = 2448207
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FAQs on GCF of Fractions of 2158/927, 1310/2641
1. What is the HCF of 2158,1310?
The HCF of 2158,1310 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 2158/927, 1310/2641?
Answer: GCF of Numerators as per given numbers 2158/927, 1310/2641 is
GCF of Numerators i.e. for 2158,1310 is 2
LCM of denominators i.e. for 927,2641 is 2448207.
Thus, GCF of Fractions is 2/2448207.Finally, GCF of Fractions for 2158/927, 1310/2641 is 2/2448207.