GCF of 7357/527, 5763/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7357/527, 5763/932 i.e 1/491164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7357/527, 5763/932.
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 7357/527,5763/932?
Given fractions are 7357/527,5763/932
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 7357/527,5763/932, numerators are 7357,5763
Denominators are 527,932
The GCF of 7357,5763 is 1 .
LCM of 527,932 is 491164.
The greatest common factor of 7357/527,5763/932 = [GCF of 7357,5763]/[LCM of 527,932]= 1/491164
Therefore, the GCF of 7357/527,5763/932 is 1/491164.
To find the highest common factor of 7357,5763, we have to find the factors of both numbers and list the highest common factor.
The factors of 7357 are 1, 7, 1051, 7357
The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763
The HCF of 7357,5763 is 1.
Lets's calculate GCF of 7357,5763
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7357,5763 By Matching Biggest Common Factor Method
Now, list down the factors of 7357
:1,7,1051,7357
Now, list down the factors of 5763
:1,3,17,51,113,339,1921,5763
Greatest Common Factor
We found the factors 7357,5763 . The biggest common factor number is the GCF number.
So the greatest common factor 7357,5763 is 1.
Lets's calculate LCM of 527,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 491164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491164
Therefore, the GCF of Fractions 7357/527,5763/932 is 1/491164
Least Common Multiple of 527,932 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 527,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,932) x common factors =1 x 1 = 1
LCM(527,932) = ( 527 × 932 ) / 1
LCM(527,932) = 491164 / 1
LCM(527,932) = 491164
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FAQs on GCF of Fractions of 7357/527, 5763/932
1. What is the HCF of 7357,5763?
The HCF of 7357,5763 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 7357/527, 5763/932?
Answer: GCF of Numerators as per given numbers 7357/527, 5763/932 is
GCF of Numerators i.e. for 7357,5763 is 1
LCM of denominators i.e. for 527,932 is 491164.
Thus, GCF of Fractions is 1/491164.Finally, GCF of Fractions for 7357/527, 5763/932 is 1/491164.