GCF of 2886/790, 4823/1420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2886/790, 4823/1420 i.e 13/112180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2886/790, 4823/1420.
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 2886/790,4823/1420?
Given fractions are 2886/790,4823/1420
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 2886/790,4823/1420, numerators are 2886,4823
Denominators are 790,1420
The GCF of 2886,4823 is 13 .
LCM of 790,1420 is 112180.
The greatest common factor of 2886/790,4823/1420 = [GCF of 2886,4823]/[LCM of 790,1420]= 13/112180
Therefore, the GCF of 2886/790,4823/1420 is 13/112180.
To find the highest common factor of 2886,4823, we have to find the factors of both numbers and list the highest common factor.
The factors of 2886 are 1, 2, 3, 6, 13, 26, 37, 39, 74, 78, 111, 222, 481, 962, 1443, 2886
The factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823
The HCF of 2886,4823 is 13.
Lets's calculate GCF of 2886,4823
| 13 | 2886, 4823 |
| 222, 371 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2886,4823 By Matching Biggest Common Factor Method
Now, list down the factors of 2886
:1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Now, list down the factors of 4823
:1,7,13,53,91,371,689,4823
Greatest Common Factor
We found the factors 2886,4823 . The biggest common factor number is the GCF number.
So the greatest common factor 2886,4823 is 13.
Lets's calculate LCM of 790,1420
| 2 | 790, 1420 |
| 5 | 395, 710 |
| 79, 142 |
∴ So the LCM of the given numbers is 2 x 5 x 79 x 142 = 112180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/112180
Therefore, the GCF of Fractions 2886/790,4823/1420 is 13/112180
Least Common Multiple of 790,1420 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 790,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,1420) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(790,1420) x common factors =10 x 1 = 10
LCM(790,1420) = ( 790 × 1420 ) / 10
LCM(790,1420) = 1121800 / 10
LCM(790,1420) = 112180
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FAQs on GCF of Fractions of 2886/790, 4823/1420
1. What is the HCF of 2886,4823?
The HCF of 2886,4823 is 13
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 2886/790, 4823/1420?
Answer: GCF of Numerators as per given numbers 2886/790, 4823/1420 is
GCF of Numerators i.e. for 2886,4823 is 13
LCM of denominators i.e. for 790,1420 is 112180.
Thus, GCF of Fractions is 13/112180.Finally, GCF of Fractions for 2886/790, 4823/1420 is 13/112180.