GCF of 9460/868, 2393/6767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9460/868, 2393/6767 i.e 1/5873756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9460/868, 2393/6767.
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 9460/868,2393/6767?
Given fractions are 9460/868,2393/6767
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 9460/868,2393/6767, numerators are 9460,2393
Denominators are 868,6767
The GCF of 9460,2393 is 1 .
LCM of 868,6767 is 5873756.
The greatest common factor of 9460/868,2393/6767 = [GCF of 9460,2393]/[LCM of 868,6767]= 1/5873756
Therefore, the GCF of 9460/868,2393/6767 is 1/5873756.
To find the highest common factor of 9460,2393, we have to find the factors of both numbers and list the highest common factor.
The factors of 9460 are 1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460
The factors of 2393 are 1, 2393
The HCF of 9460,2393 is 1.
Lets's calculate GCF of 9460,2393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9460,2393 By Matching Biggest Common Factor Method
Now, list down the factors of 9460
:1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460
Now, list down the factors of 2393
:1,2393
Greatest Common Factor
We found the factors 9460,2393 . The biggest common factor number is the GCF number.
So the greatest common factor 9460,2393 is 1.
Lets's calculate LCM of 868,6767
Given numbers has no common factors except 1. So, there LCM is their product i.e 5873756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5873756
Therefore, the GCF of Fractions 9460/868,2393/6767 is 1/5873756
Least Common Multiple of 868,6767 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 868,6767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,6767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,6767) x common factors =1 x 1 = 1
LCM(868,6767) = ( 868 × 6767 ) / 1
LCM(868,6767) = 5873756 / 1
LCM(868,6767) = 5873756
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FAQs on GCF of Fractions of 9460/868, 2393/6767
1. What is the HCF of 9460,2393?
The HCF of 9460,2393 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 9460/868, 2393/6767?
Answer: GCF of Numerators as per given numbers 9460/868, 2393/6767 is
GCF of Numerators i.e. for 9460,2393 is 1
LCM of denominators i.e. for 868,6767 is 5873756.
Thus, GCF of Fractions is 1/5873756.Finally, GCF of Fractions for 9460/868, 2393/6767 is 1/5873756.