GCF of 2659/821, 2820/2837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2659/821, 2820/2837 i.e 1/2329177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2659/821, 2820/2837.
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 2659/821,2820/2837?
Given fractions are 2659/821,2820/2837
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 2659/821,2820/2837, numerators are 2659,2820
Denominators are 821,2837
The GCF of 2659,2820 is 1 .
LCM of 821,2837 is 2329177.
The greatest common factor of 2659/821,2820/2837 = [GCF of 2659,2820]/[LCM of 821,2837]= 1/2329177
Therefore, the GCF of 2659/821,2820/2837 is 1/2329177.
To find the highest common factor of 2659,2820, we have to find the factors of both numbers and list the highest common factor.
The factors of 2659 are 1, 2659
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The HCF of 2659,2820 is 1.
Lets's calculate GCF of 2659,2820
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2659,2820 By Matching Biggest Common Factor Method
Now, list down the factors of 2659
:1,2659
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Greatest Common Factor
We found the factors 2659,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 2659,2820 is 1.
Lets's calculate LCM of 821,2837
Given numbers has no common factors except 1. So, there LCM is their product i.e 2329177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2329177
Therefore, the GCF of Fractions 2659/821,2820/2837 is 1/2329177
Least Common Multiple of 821,2837 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 821,2837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,2837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,2837) x common factors =1 x 1 = 1
LCM(821,2837) = ( 821 × 2837 ) / 1
LCM(821,2837) = 2329177 / 1
LCM(821,2837) = 2329177
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FAQs on GCF of Fractions of 2659/821, 2820/2837
1. What is the HCF of 2659,2820?
The HCF of 2659,2820 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 2659/821, 2820/2837?
Answer: GCF of Numerators as per given numbers 2659/821, 2820/2837 is
GCF of Numerators i.e. for 2659,2820 is 1
LCM of denominators i.e. for 821,2837 is 2329177.
Thus, GCF of Fractions is 1/2329177.Finally, GCF of Fractions for 2659/821, 2820/2837 is 1/2329177.