GCF of 9467/585, 6340/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9467/585, 6340/914 i.e 1/534690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9467/585, 6340/914.
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 9467/585,6340/914?
Given fractions are 9467/585,6340/914
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 9467/585,6340/914, numerators are 9467,6340
Denominators are 585,914
The GCF of 9467,6340 is 1 .
LCM of 585,914 is 534690.
The greatest common factor of 9467/585,6340/914 = [GCF of 9467,6340]/[LCM of 585,914]= 1/534690
Therefore, the GCF of 9467/585,6340/914 is 1/534690.
To find the highest common factor of 9467,6340, we have to find the factors of both numbers and list the highest common factor.
The factors of 9467 are 1, 9467
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The HCF of 9467,6340 is 1.
Lets's calculate GCF of 9467,6340
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9467,6340 By Matching Biggest Common Factor Method
Now, list down the factors of 9467
:1,9467
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Greatest Common Factor
We found the factors 9467,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 9467,6340 is 1.
Lets's calculate LCM of 585,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 534690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534690
Therefore, the GCF of Fractions 9467/585,6340/914 is 1/534690
Least Common Multiple of 585,914 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 585,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,914) x common factors =1 x 1 = 1
LCM(585,914) = ( 585 × 914 ) / 1
LCM(585,914) = 534690 / 1
LCM(585,914) = 534690
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FAQs on GCF of Fractions of 9467/585, 6340/914
1. What is the HCF of 9467,6340?
The HCF of 9467,6340 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 9467/585, 6340/914?
Answer: GCF of Numerators as per given numbers 9467/585, 6340/914 is
GCF of Numerators i.e. for 9467,6340 is 1
LCM of denominators i.e. for 585,914 is 534690.
Thus, GCF of Fractions is 1/534690.Finally, GCF of Fractions for 9467/585, 6340/914 is 1/534690.