GCF of 2812/824, 9021/2439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2812/824, 9021/2439 i.e 1/2009736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2812/824, 9021/2439.
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 2812/824,9021/2439?
Given fractions are 2812/824,9021/2439
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 2812/824,9021/2439, numerators are 2812,9021
Denominators are 824,2439
The GCF of 2812,9021 is 1 .
LCM of 824,2439 is 2009736.
The greatest common factor of 2812/824,9021/2439 = [GCF of 2812,9021]/[LCM of 824,2439]= 1/2009736
Therefore, the GCF of 2812/824,9021/2439 is 1/2009736.
To find the highest common factor of 2812,9021, we have to find the factors of both numbers and list the highest common factor.
The factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812
The factors of 9021 are 1, 3, 31, 93, 97, 291, 3007, 9021
The HCF of 2812,9021 is 1.
Lets's calculate GCF of 2812,9021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2812,9021 By Matching Biggest Common Factor Method
Now, list down the factors of 2812
:1,2,4,19,37,38,74,76,148,703,1406,2812
Now, list down the factors of 9021
:1,3,31,93,97,291,3007,9021
Greatest Common Factor
We found the factors 2812,9021 . The biggest common factor number is the GCF number.
So the greatest common factor 2812,9021 is 1.
Lets's calculate LCM of 824,2439
Given numbers has no common factors except 1. So, there LCM is their product i.e 2009736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2009736
Therefore, the GCF of Fractions 2812/824,9021/2439 is 1/2009736
Least Common Multiple of 824,2439 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 824,2439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,2439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,2439) x common factors =1 x 1 = 1
LCM(824,2439) = ( 824 × 2439 ) / 1
LCM(824,2439) = 2009736 / 1
LCM(824,2439) = 2009736
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FAQs on GCF of Fractions of 2812/824, 9021/2439
1. What is the HCF of 2812,9021?
The HCF of 2812,9021 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 2812/824, 9021/2439?
Answer: GCF of Numerators as per given numbers 2812/824, 9021/2439 is
GCF of Numerators i.e. for 2812,9021 is 1
LCM of denominators i.e. for 824,2439 is 2009736.
Thus, GCF of Fractions is 1/2009736.Finally, GCF of Fractions for 2812/824, 9021/2439 is 1/2009736.