GCF of 2873/620, 2646/1417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2873/620, 2646/1417 i.e 1/878540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2873/620, 2646/1417.
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 2873/620,2646/1417?
Given fractions are 2873/620,2646/1417
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 2873/620,2646/1417, numerators are 2873,2646
Denominators are 620,1417
The GCF of 2873,2646 is 1 .
LCM of 620,1417 is 878540.
The greatest common factor of 2873/620,2646/1417 = [GCF of 2873,2646]/[LCM of 620,1417]= 1/878540
Therefore, the GCF of 2873/620,2646/1417 is 1/878540.
To find the highest common factor of 2873,2646, we have to find the factors of both numbers and list the highest common factor.
The factors of 2873 are 1, 13, 17, 169, 221, 2873
The factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646
The HCF of 2873,2646 is 1.
Lets's calculate GCF of 2873,2646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2873,2646 By Matching Biggest Common Factor Method
Now, list down the factors of 2873
:1,13,17,169,221,2873
Now, list down the factors of 2646
:1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646
Greatest Common Factor
We found the factors 2873,2646 . The biggest common factor number is the GCF number.
So the greatest common factor 2873,2646 is 1.
Lets's calculate LCM of 620,1417
Given numbers has no common factors except 1. So, there LCM is their product i.e 878540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/878540
Therefore, the GCF of Fractions 2873/620,2646/1417 is 1/878540
Least Common Multiple of 620,1417 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 620,1417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,1417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,1417) x common factors =1 x 1 = 1
LCM(620,1417) = ( 620 × 1417 ) / 1
LCM(620,1417) = 878540 / 1
LCM(620,1417) = 878540
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FAQs on GCF of Fractions of 2873/620, 2646/1417
1. What is the HCF of 2873,2646?
The HCF of 2873,2646 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 2873/620, 2646/1417?
Answer: GCF of Numerators as per given numbers 2873/620, 2646/1417 is
GCF of Numerators i.e. for 2873,2646 is 1
LCM of denominators i.e. for 620,1417 is 878540.
Thus, GCF of Fractions is 1/878540.Finally, GCF of Fractions for 2873/620, 2646/1417 is 1/878540.