GCF of 2760/862, 2882/1879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2760/862, 2882/1879 i.e 2/1619698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2760/862, 2882/1879.
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 2760/862,2882/1879?
Given fractions are 2760/862,2882/1879
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 2760/862,2882/1879, numerators are 2760,2882
Denominators are 862,1879
The GCF of 2760,2882 is 2 .
LCM of 862,1879 is 1619698.
The greatest common factor of 2760/862,2882/1879 = [GCF of 2760,2882]/[LCM of 862,1879]= 2/1619698
Therefore, the GCF of 2760/862,2882/1879 is 2/1619698.
To find the highest common factor of 2760,2882, we have to find the factors of both numbers and list the highest common factor.
The factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760
The factors of 2882 are 1, 2, 11, 22, 131, 262, 1441, 2882
The HCF of 2760,2882 is 2.
Lets's calculate GCF of 2760,2882
| 2 | 2760, 2882 |
| 1380, 1441 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2760,2882 By Matching Biggest Common Factor Method
Now, list down the factors of 2760
:1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760
Now, list down the factors of 2882
:1,2,11,22,131,262,1441,2882
Greatest Common Factor
We found the factors 2760,2882 . The biggest common factor number is the GCF number.
So the greatest common factor 2760,2882 is 2.
Lets's calculate LCM of 862,1879
Given numbers has no common factors except 1. So, there LCM is their product i.e 1619698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1619698
Therefore, the GCF of Fractions 2760/862,2882/1879 is 2/1619698
Least Common Multiple of 862,1879 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 862,1879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,1879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,1879) x common factors =1 x 1 = 1
LCM(862,1879) = ( 862 × 1879 ) / 1
LCM(862,1879) = 1619698 / 1
LCM(862,1879) = 1619698
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FAQs on GCF of Fractions of 2760/862, 2882/1879
1. What is the HCF of 2760,2882?
The HCF of 2760,2882 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 2760/862, 2882/1879?
Answer: GCF of Numerators as per given numbers 2760/862, 2882/1879 is
GCF of Numerators i.e. for 2760,2882 is 2
LCM of denominators i.e. for 862,1879 is 1619698.
Thus, GCF of Fractions is 2/1619698.Finally, GCF of Fractions for 2760/862, 2882/1879 is 2/1619698.