GCF of 2162/418, 4960/2884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2162/418, 4960/2884 i.e 2/602756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2162/418, 4960/2884.
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 2162/418,4960/2884?
Given fractions are 2162/418,4960/2884
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 2162/418,4960/2884, numerators are 2162,4960
Denominators are 418,2884
The GCF of 2162,4960 is 2 .
LCM of 418,2884 is 602756.
The greatest common factor of 2162/418,4960/2884 = [GCF of 2162,4960]/[LCM of 418,2884]= 2/602756
Therefore, the GCF of 2162/418,4960/2884 is 2/602756.
To find the highest common factor of 2162,4960, we have to find the factors of both numbers and list the highest common factor.
The factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162
The factors of 4960 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960
The HCF of 2162,4960 is 2.
Lets's calculate GCF of 2162,4960
| 2 | 2162, 4960 |
| 1081, 2480 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2162,4960 By Matching Biggest Common Factor Method
Now, list down the factors of 2162
:1,2,23,46,47,94,1081,2162
Now, list down the factors of 4960
:1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960
Greatest Common Factor
We found the factors 2162,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 2162,4960 is 2.
Lets's calculate LCM of 418,2884
| 2 | 418, 2884 |
| 209, 1442 |
∴ So the LCM of the given numbers is 2 x 209 x 1442 = 602756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/602756
Therefore, the GCF of Fractions 2162/418,4960/2884 is 2/602756
Least Common Multiple of 418,2884 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 418,2884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,2884) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,2884) x common factors =2 x 1 = 2
LCM(418,2884) = ( 418 × 2884 ) / 2
LCM(418,2884) = 1205512 / 2
LCM(418,2884) = 602756
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FAQs on GCF of Fractions of 2162/418, 4960/2884
1. What is the HCF of 2162,4960?
The HCF of 2162,4960 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 2162/418, 4960/2884?
Answer: GCF of Numerators as per given numbers 2162/418, 4960/2884 is
GCF of Numerators i.e. for 2162,4960 is 2
LCM of denominators i.e. for 418,2884 is 602756.
Thus, GCF of Fractions is 2/602756.Finally, GCF of Fractions for 2162/418, 4960/2884 is 2/602756.