GCF of 8594/969, 1719/8270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8594/969, 1719/8270 i.e 1/8013630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8594/969, 1719/8270.
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 8594/969,1719/8270?
Given fractions are 8594/969,1719/8270
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 8594/969,1719/8270, numerators are 8594,1719
Denominators are 969,8270
The GCF of 8594,1719 is 1 .
LCM of 969,8270 is 8013630.
The greatest common factor of 8594/969,1719/8270 = [GCF of 8594,1719]/[LCM of 969,8270]= 1/8013630
Therefore, the GCF of 8594/969,1719/8270 is 1/8013630.
To find the highest common factor of 8594,1719, we have to find the factors of both numbers and list the highest common factor.
The factors of 8594 are 1, 2, 4297, 8594
The factors of 1719 are 1, 3, 9, 191, 573, 1719
The HCF of 8594,1719 is 1.
Lets's calculate GCF of 8594,1719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8594,1719 By Matching Biggest Common Factor Method
Now, list down the factors of 8594
:1,2,4297,8594
Now, list down the factors of 1719
:1,3,9,191,573,1719
Greatest Common Factor
We found the factors 8594,1719 . The biggest common factor number is the GCF number.
So the greatest common factor 8594,1719 is 1.
Lets's calculate LCM of 969,8270
Given numbers has no common factors except 1. So, there LCM is their product i.e 8013630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8013630
Therefore, the GCF of Fractions 8594/969,1719/8270 is 1/8013630
Least Common Multiple of 969,8270 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 969,8270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,8270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,8270) x common factors =1 x 1 = 1
LCM(969,8270) = ( 969 × 8270 ) / 1
LCM(969,8270) = 8013630 / 1
LCM(969,8270) = 8013630
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8594/969, 1719/8270
1. What is the HCF of 8594,1719?
The HCF of 8594,1719 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 8594/969, 1719/8270?
Answer: GCF of Numerators as per given numbers 8594/969, 1719/8270 is
GCF of Numerators i.e. for 8594,1719 is 1
LCM of denominators i.e. for 969,8270 is 8013630.
Thus, GCF of Fractions is 1/8013630.Finally, GCF of Fractions for 8594/969, 1719/8270 is 1/8013630.