GCF of 2471/927, 2736/851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2471/927, 2736/851 i.e 1/788877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2471/927, 2736/851.
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 2471/927,2736/851?
Given fractions are 2471/927,2736/851
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 2471/927,2736/851, numerators are 2471,2736
Denominators are 927,851
The GCF of 2471,2736 is 1 .
LCM of 927,851 is 788877.
The greatest common factor of 2471/927,2736/851 = [GCF of 2471,2736]/[LCM of 927,851]= 1/788877
Therefore, the GCF of 2471/927,2736/851 is 1/788877.
To find the highest common factor of 2471,2736, we have to find the factors of both numbers and list the highest common factor.
The factors of 2471 are 1, 7, 353, 2471
The factors of 2736 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368, 2736
The HCF of 2471,2736 is 1.
Lets's calculate GCF of 2471,2736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2471,2736 By Matching Biggest Common Factor Method
Now, list down the factors of 2471
:1,7,353,2471
Now, list down the factors of 2736
:1,2,3,4,6,8,9,12,16,18,19,24,36,38,48,57,72,76,114,144,152,171,228,304,342,456,684,912,1368,2736
Greatest Common Factor
We found the factors 2471,2736 . The biggest common factor number is the GCF number.
So the greatest common factor 2471,2736 is 1.
Lets's calculate LCM of 927,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 788877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/788877
Therefore, the GCF of Fractions 2471/927,2736/851 is 1/788877
Least Common Multiple of 927,851 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 927,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,851) x common factors =1 x 1 = 1
LCM(927,851) = ( 927 × 851 ) / 1
LCM(927,851) = 788877 / 1
LCM(927,851) = 788877
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FAQs on GCF of Fractions of 2471/927, 2736/851
1. What is the HCF of 2471,2736?
The HCF of 2471,2736 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 2471/927, 2736/851?
Answer: GCF of Numerators as per given numbers 2471/927, 2736/851 is
GCF of Numerators i.e. for 2471,2736 is 1
LCM of denominators i.e. for 927,851 is 788877.
Thus, GCF of Fractions is 1/788877.Finally, GCF of Fractions for 2471/927, 2736/851 is 1/788877.