GCF of 5872/548, 2097/4225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5872/548, 2097/4225 i.e 1/2315300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5872/548, 2097/4225.
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 5872/548,2097/4225?
Given fractions are 5872/548,2097/4225
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 5872/548,2097/4225, numerators are 5872,2097
Denominators are 548,4225
The GCF of 5872,2097 is 1 .
LCM of 548,4225 is 2315300.
The greatest common factor of 5872/548,2097/4225 = [GCF of 5872,2097]/[LCM of 548,4225]= 1/2315300
Therefore, the GCF of 5872/548,2097/4225 is 1/2315300.
To find the highest common factor of 5872,2097, we have to find the factors of both numbers and list the highest common factor.
The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872
The factors of 2097 are 1, 3, 9, 233, 699, 2097
The HCF of 5872,2097 is 1.
Lets's calculate GCF of 5872,2097
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5872,2097 By Matching Biggest Common Factor Method
Now, list down the factors of 5872
:1,2,4,8,16,367,734,1468,2936,5872
Now, list down the factors of 2097
:1,3,9,233,699,2097
Greatest Common Factor
We found the factors 5872,2097 . The biggest common factor number is the GCF number.
So the greatest common factor 5872,2097 is 1.
Lets's calculate LCM of 548,4225
Given numbers has no common factors except 1. So, there LCM is their product i.e 2315300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2315300
Therefore, the GCF of Fractions 5872/548,2097/4225 is 1/2315300
Least Common Multiple of 548,4225 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 548,4225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,4225) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,4225) x common factors =1 x 1 = 1
LCM(548,4225) = ( 548 × 4225 ) / 1
LCM(548,4225) = 2315300 / 1
LCM(548,4225) = 2315300
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FAQs on GCF of Fractions of 5872/548, 2097/4225
1. What is the HCF of 5872,2097?
The HCF of 5872,2097 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 5872/548, 2097/4225?
Answer: GCF of Numerators as per given numbers 5872/548, 2097/4225 is
GCF of Numerators i.e. for 5872,2097 is 1
LCM of denominators i.e. for 548,4225 is 2315300.
Thus, GCF of Fractions is 1/2315300.Finally, GCF of Fractions for 5872/548, 2097/4225 is 1/2315300.