GCF of 2479/499, 7189/4094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2479/499, 7189/4094 i.e 1/2042906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2479/499, 7189/4094.
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 2479/499,7189/4094?
Given fractions are 2479/499,7189/4094
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 2479/499,7189/4094, numerators are 2479,7189
Denominators are 499,4094
The GCF of 2479,7189 is 1 .
LCM of 499,4094 is 2042906.
The greatest common factor of 2479/499,7189/4094 = [GCF of 2479,7189]/[LCM of 499,4094]= 1/2042906
Therefore, the GCF of 2479/499,7189/4094 is 1/2042906.
To find the highest common factor of 2479,7189, we have to find the factors of both numbers and list the highest common factor.
The factors of 2479 are 1, 37, 67, 2479
The factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189
The HCF of 2479,7189 is 1.
Lets's calculate GCF of 2479,7189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2479,7189 By Matching Biggest Common Factor Method
Now, list down the factors of 2479
:1,37,67,2479
Now, list down the factors of 7189
:1,7,13,79,91,553,1027,7189
Greatest Common Factor
We found the factors 2479,7189 . The biggest common factor number is the GCF number.
So the greatest common factor 2479,7189 is 1.
Lets's calculate LCM of 499,4094
Given numbers has no common factors except 1. So, there LCM is their product i.e 2042906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2042906
Therefore, the GCF of Fractions 2479/499,7189/4094 is 1/2042906
Least Common Multiple of 499,4094 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 499,4094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,4094) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,4094) x common factors =1 x 1 = 1
LCM(499,4094) = ( 499 × 4094 ) / 1
LCM(499,4094) = 2042906 / 1
LCM(499,4094) = 2042906
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FAQs on GCF of Fractions of 2479/499, 7189/4094
1. What is the HCF of 2479,7189?
The HCF of 2479,7189 is 1
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 2479/499, 7189/4094?
Answer: GCF of Numerators as per given numbers 2479/499, 7189/4094 is
GCF of Numerators i.e. for 2479,7189 is 1
LCM of denominators i.e. for 499,4094 is 2042906.
Thus, GCF of Fractions is 1/2042906.Finally, GCF of Fractions for 2479/499, 7189/4094 is 1/2042906.