GCF of 8594/344, 9047/7921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8594/344, 9047/7921 i.e 1/2724824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8594/344, 9047/7921.
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 8594/344,9047/7921?
Given fractions are 8594/344,9047/7921
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 8594/344,9047/7921, numerators are 8594,9047
Denominators are 344,7921
The GCF of 8594,9047 is 1 .
LCM of 344,7921 is 2724824.
The greatest common factor of 8594/344,9047/7921 = [GCF of 8594,9047]/[LCM of 344,7921]= 1/2724824
Therefore, the GCF of 8594/344,9047/7921 is 1/2724824.
To find the highest common factor of 8594,9047, 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 9047 are 1, 83, 109, 9047
The HCF of 8594,9047 is 1.
Lets's calculate GCF of 8594,9047
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8594,9047 By Matching Biggest Common Factor Method
Now, list down the factors of 8594
:1,2,4297,8594
Now, list down the factors of 9047
:1,83,109,9047
Greatest Common Factor
We found the factors 8594,9047 . The biggest common factor number is the GCF number.
So the greatest common factor 8594,9047 is 1.
Lets's calculate LCM of 344,7921
Given numbers has no common factors except 1. So, there LCM is their product i.e 2724824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2724824
Therefore, the GCF of Fractions 8594/344,9047/7921 is 1/2724824
Least Common Multiple of 344,7921 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 344,7921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,7921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,7921) x common factors =1 x 1 = 1
LCM(344,7921) = ( 344 × 7921 ) / 1
LCM(344,7921) = 2724824 / 1
LCM(344,7921) = 2724824
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FAQs on GCF of Fractions of 8594/344, 9047/7921
1. What is the HCF of 8594,9047?
The HCF of 8594,9047 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 8594/344, 9047/7921?
Answer: GCF of Numerators as per given numbers 8594/344, 9047/7921 is
GCF of Numerators i.e. for 8594,9047 is 1
LCM of denominators i.e. for 344,7921 is 2724824.
Thus, GCF of Fractions is 1/2724824.Finally, GCF of Fractions for 8594/344, 9047/7921 is 1/2724824.