GCF of 8719/896, 9114/3867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8719/896, 9114/3867 i.e 1/3464832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8719/896, 9114/3867.
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 8719/896,9114/3867?
Given fractions are 8719/896,9114/3867
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 8719/896,9114/3867, numerators are 8719,9114
Denominators are 896,3867
The GCF of 8719,9114 is 1 .
LCM of 896,3867 is 3464832.
The greatest common factor of 8719/896,9114/3867 = [GCF of 8719,9114]/[LCM of 896,3867]= 1/3464832
Therefore, the GCF of 8719/896,9114/3867 is 1/3464832.
To find the highest common factor of 8719,9114, we have to find the factors of both numbers and list the highest common factor.
The factors of 8719 are 1, 8719
The factors of 9114 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114
The HCF of 8719,9114 is 1.
Lets's calculate GCF of 8719,9114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8719,9114 By Matching Biggest Common Factor Method
Now, list down the factors of 8719
:1,8719
Now, list down the factors of 9114
:1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114
Greatest Common Factor
We found the factors 8719,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 8719,9114 is 1.
Lets's calculate LCM of 896,3867
Given numbers has no common factors except 1. So, there LCM is their product i.e 3464832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3464832
Therefore, the GCF of Fractions 8719/896,9114/3867 is 1/3464832
Least Common Multiple of 896,3867 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 896,3867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,3867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,3867) x common factors =1 x 1 = 1
LCM(896,3867) = ( 896 × 3867 ) / 1
LCM(896,3867) = 3464832 / 1
LCM(896,3867) = 3464832
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FAQs on GCF of Fractions of 8719/896, 9114/3867
1. What is the HCF of 8719,9114?
The HCF of 8719,9114 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 8719/896, 9114/3867?
Answer: GCF of Numerators as per given numbers 8719/896, 9114/3867 is
GCF of Numerators i.e. for 8719,9114 is 1
LCM of denominators i.e. for 896,3867 is 3464832.
Thus, GCF of Fractions is 1/3464832.Finally, GCF of Fractions for 8719/896, 9114/3867 is 1/3464832.