GCF of 4162/279, 9530/5788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4162/279, 9530/5788 i.e 2/1614852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4162/279, 9530/5788.
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 4162/279,9530/5788?
Given fractions are 4162/279,9530/5788
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 4162/279,9530/5788, numerators are 4162,9530
Denominators are 279,5788
The GCF of 4162,9530 is 2 .
LCM of 279,5788 is 1614852.
The greatest common factor of 4162/279,9530/5788 = [GCF of 4162,9530]/[LCM of 279,5788]= 2/1614852
Therefore, the GCF of 4162/279,9530/5788 is 2/1614852.
To find the highest common factor of 4162,9530, we have to find the factors of both numbers and list the highest common factor.
The factors of 4162 are 1, 2, 2081, 4162
The factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530
The HCF of 4162,9530 is 2.
Lets's calculate GCF of 4162,9530
| 2 | 4162, 9530 |
| 2081, 4765 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4162,9530 By Matching Biggest Common Factor Method
Now, list down the factors of 4162
:1,2,2081,4162
Now, list down the factors of 9530
:1,2,5,10,953,1906,4765,9530
Greatest Common Factor
We found the factors 4162,9530 . The biggest common factor number is the GCF number.
So the greatest common factor 4162,9530 is 2.
Lets's calculate LCM of 279,5788
Given numbers has no common factors except 1. So, there LCM is their product i.e 1614852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1614852
Therefore, the GCF of Fractions 4162/279,9530/5788 is 2/1614852
Least Common Multiple of 279,5788 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 279,5788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,5788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,5788) x common factors =1 x 1 = 1
LCM(279,5788) = ( 279 × 5788 ) / 1
LCM(279,5788) = 1614852 / 1
LCM(279,5788) = 1614852
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FAQs on GCF of Fractions of 4162/279, 9530/5788
1. What is the HCF of 4162,9530?
The HCF of 4162,9530 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 4162/279, 9530/5788?
Answer: GCF of Numerators as per given numbers 4162/279, 9530/5788 is
GCF of Numerators i.e. for 4162,9530 is 2
LCM of denominators i.e. for 279,5788 is 1614852.
Thus, GCF of Fractions is 2/1614852.Finally, GCF of Fractions for 4162/279, 9530/5788 is 2/1614852.