GCF of 4612/19, 8490/949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4612/19, 8490/949 i.e 2/18031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4612/19, 8490/949.
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 4612/19,8490/949?
Given fractions are 4612/19,8490/949
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 4612/19,8490/949, numerators are 4612,8490
Denominators are 19,949
The GCF of 4612,8490 is 2 .
LCM of 19,949 is 18031.
The greatest common factor of 4612/19,8490/949 = [GCF of 4612,8490]/[LCM of 19,949]= 2/18031
Therefore, the GCF of 4612/19,8490/949 is 2/18031.
To find the highest common factor of 4612,8490, we have to find the factors of both numbers and list the highest common factor.
The factors of 4612 are 1, 2, 4, 1153, 2306, 4612
The factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490
The HCF of 4612,8490 is 2.
Lets's calculate GCF of 4612,8490
| 2 | 4612, 8490 |
| 2306, 4245 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4612,8490 By Matching Biggest Common Factor Method
Now, list down the factors of 4612
:1,2,4,1153,2306,4612
Now, list down the factors of 8490
:1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Greatest Common Factor
We found the factors 4612,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 4612,8490 is 2.
Lets's calculate LCM of 19,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 18031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18031
Therefore, the GCF of Fractions 4612/19,8490/949 is 2/18031
Least Common Multiple of 19,949 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 19,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,949) x common factors =1 x 1 = 1
LCM(19,949) = ( 19 × 949 ) / 1
LCM(19,949) = 18031 / 1
LCM(19,949) = 18031
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FAQs on GCF of Fractions of 4612/19, 8490/949
1. What is the HCF of 4612,8490?
The HCF of 4612,8490 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 4612/19, 8490/949?
Answer: GCF of Numerators as per given numbers 4612/19, 8490/949 is
GCF of Numerators i.e. for 4612,8490 is 2
LCM of denominators i.e. for 19,949 is 18031.
Thus, GCF of Fractions is 2/18031.Finally, GCF of Fractions for 4612/19, 8490/949 is 2/18031.