GCF of 8927/214, 4723/7611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8927/214, 4723/7611 i.e 1/1628754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8927/214, 4723/7611.
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 8927/214,4723/7611?
Given fractions are 8927/214,4723/7611
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 8927/214,4723/7611, numerators are 8927,4723
Denominators are 214,7611
The GCF of 8927,4723 is 1 .
LCM of 214,7611 is 1628754.
The greatest common factor of 8927/214,4723/7611 = [GCF of 8927,4723]/[LCM of 214,7611]= 1/1628754
Therefore, the GCF of 8927/214,4723/7611 is 1/1628754.
To find the highest common factor of 8927,4723, we have to find the factors of both numbers and list the highest common factor.
The factors of 8927 are 1, 79, 113, 8927
The factors of 4723 are 1, 4723
The HCF of 8927,4723 is 1.
Lets's calculate GCF of 8927,4723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8927,4723 By Matching Biggest Common Factor Method
Now, list down the factors of 8927
:1,79,113,8927
Now, list down the factors of 4723
:1,4723
Greatest Common Factor
We found the factors 8927,4723 . The biggest common factor number is the GCF number.
So the greatest common factor 8927,4723 is 1.
Lets's calculate LCM of 214,7611
Given numbers has no common factors except 1. So, there LCM is their product i.e 1628754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1628754
Therefore, the GCF of Fractions 8927/214,4723/7611 is 1/1628754
Least Common Multiple of 214,7611 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 214,7611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,7611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,7611) x common factors =1 x 1 = 1
LCM(214,7611) = ( 214 × 7611 ) / 1
LCM(214,7611) = 1628754 / 1
LCM(214,7611) = 1628754
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FAQs on GCF of Fractions of 8927/214, 4723/7611
1. What is the HCF of 8927,4723?
The HCF of 8927,4723 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 8927/214, 4723/7611?
Answer: GCF of Numerators as per given numbers 8927/214, 4723/7611 is
GCF of Numerators i.e. for 8927,4723 is 1
LCM of denominators i.e. for 214,7611 is 1628754.
Thus, GCF of Fractions is 1/1628754.Finally, GCF of Fractions for 8927/214, 4723/7611 is 1/1628754.