GCF of 1597/813, 7249/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1597/813, 7249/757 i.e 1/615441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1597/813, 7249/757.
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 1597/813,7249/757?
Given fractions are 1597/813,7249/757
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 1597/813,7249/757, numerators are 1597,7249
Denominators are 813,757
The GCF of 1597,7249 is 1 .
LCM of 813,757 is 615441.
The greatest common factor of 1597/813,7249/757 = [GCF of 1597,7249]/[LCM of 813,757]= 1/615441
Therefore, the GCF of 1597/813,7249/757 is 1/615441.
To find the highest common factor of 1597,7249, we have to find the factors of both numbers and list the highest common factor.
The factors of 1597 are 1, 1597
The factors of 7249 are 1, 11, 659, 7249
The HCF of 1597,7249 is 1.
Lets's calculate GCF of 1597,7249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1597,7249 By Matching Biggest Common Factor Method
Now, list down the factors of 1597
:1,1597
Now, list down the factors of 7249
:1,11,659,7249
Greatest Common Factor
We found the factors 1597,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 1597,7249 is 1.
Lets's calculate LCM of 813,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 615441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615441
Therefore, the GCF of Fractions 1597/813,7249/757 is 1/615441
Least Common Multiple of 813,757 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 813,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,757) x common factors =1 x 1 = 1
LCM(813,757) = ( 813 × 757 ) / 1
LCM(813,757) = 615441 / 1
LCM(813,757) = 615441
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FAQs on GCF of Fractions of 1597/813, 7249/757
1. What is the HCF of 1597,7249?
The HCF of 1597,7249 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 1597/813, 7249/757?
Answer: GCF of Numerators as per given numbers 1597/813, 7249/757 is
GCF of Numerators i.e. for 1597,7249 is 1
LCM of denominators i.e. for 813,757 is 615441.
Thus, GCF of Fractions is 1/615441.Finally, GCF of Fractions for 1597/813, 7249/757 is 1/615441.