GCF of 9577/918, 2933/1867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9577/918, 2933/1867 i.e 1/1713906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9577/918, 2933/1867.
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 9577/918,2933/1867?
Given fractions are 9577/918,2933/1867
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 9577/918,2933/1867, numerators are 9577,2933
Denominators are 918,1867
The GCF of 9577,2933 is 1 .
LCM of 918,1867 is 1713906.
The greatest common factor of 9577/918,2933/1867 = [GCF of 9577,2933]/[LCM of 918,1867]= 1/1713906
Therefore, the GCF of 9577/918,2933/1867 is 1/1713906.
To find the highest common factor of 9577,2933, we have to find the factors of both numbers and list the highest common factor.
The factors of 9577 are 1, 61, 157, 9577
The factors of 2933 are 1, 7, 419, 2933
The HCF of 9577,2933 is 1.
Lets's calculate GCF of 9577,2933
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9577,2933 By Matching Biggest Common Factor Method
Now, list down the factors of 9577
:1,61,157,9577
Now, list down the factors of 2933
:1,7,419,2933
Greatest Common Factor
We found the factors 9577,2933 . The biggest common factor number is the GCF number.
So the greatest common factor 9577,2933 is 1.
Lets's calculate LCM of 918,1867
Given numbers has no common factors except 1. So, there LCM is their product i.e 1713906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1713906
Therefore, the GCF of Fractions 9577/918,2933/1867 is 1/1713906
Least Common Multiple of 918,1867 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 918,1867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,1867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(918,1867) x common factors =1 x 1 = 1
LCM(918,1867) = ( 918 × 1867 ) / 1
LCM(918,1867) = 1713906 / 1
LCM(918,1867) = 1713906
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9577/918, 2933/1867
1. What is the HCF of 9577,2933?
The HCF of 9577,2933 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 9577/918, 2933/1867?
Answer: GCF of Numerators as per given numbers 9577/918, 2933/1867 is
GCF of Numerators i.e. for 9577,2933 is 1
LCM of denominators i.e. for 918,1867 is 1713906.
Thus, GCF of Fractions is 1/1713906.Finally, GCF of Fractions for 9577/918, 2933/1867 is 1/1713906.