GCF of 9341/762, 6160/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9341/762, 6160/575 i.e 1/438150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9341/762, 6160/575.
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 9341/762,6160/575?
Given fractions are 9341/762,6160/575
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 9341/762,6160/575, numerators are 9341,6160
Denominators are 762,575
The GCF of 9341,6160 is 1 .
LCM of 762,575 is 438150.
The greatest common factor of 9341/762,6160/575 = [GCF of 9341,6160]/[LCM of 762,575]= 1/438150
Therefore, the GCF of 9341/762,6160/575 is 1/438150.
To find the highest common factor of 9341,6160, we have to find the factors of both numbers and list the highest common factor.
The factors of 9341 are 1, 9341
The factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160
The HCF of 9341,6160 is 1.
Lets's calculate GCF of 9341,6160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9341,6160 By Matching Biggest Common Factor Method
Now, list down the factors of 9341
:1,9341
Now, list down the factors of 6160
:1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Greatest Common Factor
We found the factors 9341,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 9341,6160 is 1.
Lets's calculate LCM of 762,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 438150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438150
Therefore, the GCF of Fractions 9341/762,6160/575 is 1/438150
Least Common Multiple of 762,575 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 762,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,575) x common factors =1 x 1 = 1
LCM(762,575) = ( 762 × 575 ) / 1
LCM(762,575) = 438150 / 1
LCM(762,575) = 438150
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FAQs on GCF of Fractions of 9341/762, 6160/575
1. What is the HCF of 9341,6160?
The HCF of 9341,6160 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 9341/762, 6160/575?
Answer: GCF of Numerators as per given numbers 9341/762, 6160/575 is
GCF of Numerators i.e. for 9341,6160 is 1
LCM of denominators i.e. for 762,575 is 438150.
Thus, GCF of Fractions is 1/438150.Finally, GCF of Fractions for 9341/762, 6160/575 is 1/438150.