GCF of 9408/164, 1759/1471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9408/164, 1759/1471 i.e 1/241244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9408/164, 1759/1471.
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 9408/164,1759/1471?
Given fractions are 9408/164,1759/1471
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 9408/164,1759/1471, numerators are 9408,1759
Denominators are 164,1471
The GCF of 9408,1759 is 1 .
LCM of 164,1471 is 241244.
The greatest common factor of 9408/164,1759/1471 = [GCF of 9408,1759]/[LCM of 164,1471]= 1/241244
Therefore, the GCF of 9408/164,1759/1471 is 1/241244.
To find the highest common factor of 9408,1759, we have to find the factors of both numbers and list the highest common factor.
The factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408
The factors of 1759 are 1, 1759
The HCF of 9408,1759 is 1.
Lets's calculate GCF of 9408,1759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9408,1759 By Matching Biggest Common Factor Method
Now, list down the factors of 9408
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408
Now, list down the factors of 1759
:1,1759
Greatest Common Factor
We found the factors 9408,1759 . The biggest common factor number is the GCF number.
So the greatest common factor 9408,1759 is 1.
Lets's calculate LCM of 164,1471
Given numbers has no common factors except 1. So, there LCM is their product i.e 241244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241244
Therefore, the GCF of Fractions 9408/164,1759/1471 is 1/241244
Least Common Multiple of 164,1471 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 164,1471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,1471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,1471) x common factors =1 x 1 = 1
LCM(164,1471) = ( 164 × 1471 ) / 1
LCM(164,1471) = 241244 / 1
LCM(164,1471) = 241244
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FAQs on GCF of Fractions of 9408/164, 1759/1471
1. What is the HCF of 9408,1759?
The HCF of 9408,1759 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 9408/164, 1759/1471?
Answer: GCF of Numerators as per given numbers 9408/164, 1759/1471 is
GCF of Numerators i.e. for 9408,1759 is 1
LCM of denominators i.e. for 164,1471 is 241244.
Thus, GCF of Fractions is 1/241244.Finally, GCF of Fractions for 9408/164, 1759/1471 is 1/241244.