GCF of 2492/586, 4028/5168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2492/586, 4028/5168 i.e 4/1514224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2492/586, 4028/5168.
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 2492/586,4028/5168?
Given fractions are 2492/586,4028/5168
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 2492/586,4028/5168, numerators are 2492,4028
Denominators are 586,5168
The GCF of 2492,4028 is 4 .
LCM of 586,5168 is 1514224.
The greatest common factor of 2492/586,4028/5168 = [GCF of 2492,4028]/[LCM of 586,5168]= 4/1514224
Therefore, the GCF of 2492/586,4028/5168 is 4/1514224.
To find the highest common factor of 2492,4028, we have to find the factors of both numbers and list the highest common factor.
The factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492
The factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028
The HCF of 2492,4028 is 4.
Lets's calculate GCF of 2492,4028
| 2 | 2492, 4028 |
| 2 | 1246, 2014 |
| 623, 1007 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2492,4028 By Matching Biggest Common Factor Method
Now, list down the factors of 2492
:1,2,4,7,14,28,89,178,356,623,1246,2492
Now, list down the factors of 4028
:1,2,4,19,38,53,76,106,212,1007,2014,4028
Greatest Common Factor
We found the factors 2492,4028 . The biggest common factor number is the GCF number.
So the greatest common factor 2492,4028 is 4.
Lets's calculate LCM of 586,5168
| 2 | 586, 5168 |
| 293, 2584 |
∴ So the LCM of the given numbers is 2 x 293 x 2584 = 1514224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1514224
Therefore, the GCF of Fractions 2492/586,4028/5168 is 4/1514224
Least Common Multiple of 586,5168 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 586,5168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,5168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,5168) x common factors =2 x 1 = 2
LCM(586,5168) = ( 586 × 5168 ) / 2
LCM(586,5168) = 3028448 / 2
LCM(586,5168) = 1514224
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FAQs on GCF of Fractions of 2492/586, 4028/5168
1. What is the HCF of 2492,4028?
The HCF of 2492,4028 is 4
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 2492/586, 4028/5168?
Answer: GCF of Numerators as per given numbers 2492/586, 4028/5168 is
GCF of Numerators i.e. for 2492,4028 is 4
LCM of denominators i.e. for 586,5168 is 1514224.
Thus, GCF of Fractions is 4/1514224.Finally, GCF of Fractions for 2492/586, 4028/5168 is 4/1514224.