GCF of 957/903, 3601/7499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 957/903, 3601/7499 i.e 1/6771597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/903, 3601/7499.
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 957/903,3601/7499?
Given fractions are 957/903,3601/7499
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 957/903,3601/7499, numerators are 957,3601
Denominators are 903,7499
The GCF of 957,3601 is 1 .
LCM of 903,7499 is 6771597.
The greatest common factor of 957/903,3601/7499 = [GCF of 957,3601]/[LCM of 903,7499]= 1/6771597
Therefore, the GCF of 957/903,3601/7499 is 1/6771597.
To find the highest common factor of 957,3601, we have to find the factors of both numbers and list the highest common factor.
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The factors of 3601 are 1, 13, 277, 3601
The HCF of 957,3601 is 1.
Lets's calculate GCF of 957,3601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 957,3601 By Matching Biggest Common Factor Method
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Now, list down the factors of 3601
:1,13,277,3601
Greatest Common Factor
We found the factors 957,3601 . The biggest common factor number is the GCF number.
So the greatest common factor 957,3601 is 1.
Lets's calculate LCM of 903,7499
Given numbers has no common factors except 1. So, there LCM is their product i.e 6771597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6771597
Therefore, the GCF of Fractions 957/903,3601/7499 is 1/6771597
Least Common Multiple of 903,7499 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 903,7499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,7499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,7499) x common factors =1 x 1 = 1
LCM(903,7499) = ( 903 × 7499 ) / 1
LCM(903,7499) = 6771597 / 1
LCM(903,7499) = 6771597
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FAQs on GCF of Fractions of 957/903, 3601/7499
1. What is the HCF of 957,3601?
The HCF of 957,3601 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 957/903, 3601/7499?
Answer: GCF of Numerators as per given numbers 957/903, 3601/7499 is
GCF of Numerators i.e. for 957,3601 is 1
LCM of denominators i.e. for 903,7499 is 6771597.
Thus, GCF of Fractions is 1/6771597.Finally, GCF of Fractions for 957/903, 3601/7499 is 1/6771597.