GCF of 2597/164, 2049/4037
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2597/164, 2049/4037 i.e 1/662068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2597/164, 2049/4037.
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 2597/164,2049/4037?
Given fractions are 2597/164,2049/4037
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 2597/164,2049/4037, numerators are 2597,2049
Denominators are 164,4037
The GCF of 2597,2049 is 1 .
LCM of 164,4037 is 662068.
The greatest common factor of 2597/164,2049/4037 = [GCF of 2597,2049]/[LCM of 164,4037]= 1/662068
Therefore, the GCF of 2597/164,2049/4037 is 1/662068.
To find the highest common factor of 2597,2049, we have to find the factors of both numbers and list the highest common factor.
The factors of 2597 are 1, 7, 49, 53, 371, 2597
The factors of 2049 are 1, 3, 683, 2049
The HCF of 2597,2049 is 1.
Lets's calculate GCF of 2597,2049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2597,2049 By Matching Biggest Common Factor Method
Now, list down the factors of 2597
:1,7,49,53,371,2597
Now, list down the factors of 2049
:1,3,683,2049
Greatest Common Factor
We found the factors 2597,2049 . The biggest common factor number is the GCF number.
So the greatest common factor 2597,2049 is 1.
Lets's calculate LCM of 164,4037
Given numbers has no common factors except 1. So, there LCM is their product i.e 662068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/662068
Therefore, the GCF of Fractions 2597/164,2049/4037 is 1/662068
Least Common Multiple of 164,4037 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 164,4037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,4037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,4037) x common factors =1 x 1 = 1
LCM(164,4037) = ( 164 × 4037 ) / 1
LCM(164,4037) = 662068 / 1
LCM(164,4037) = 662068
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FAQs on GCF of Fractions of 2597/164, 2049/4037
1. What is the HCF of 2597,2049?
The HCF of 2597,2049 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 2597/164, 2049/4037?
Answer: GCF of Numerators as per given numbers 2597/164, 2049/4037 is
GCF of Numerators i.e. for 2597,2049 is 1
LCM of denominators i.e. for 164,4037 is 662068.
Thus, GCF of Fractions is 1/662068.Finally, GCF of Fractions for 2597/164, 2049/4037 is 1/662068.