GCF of 9415/972, 9408/557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9415/972, 9408/557 i.e 7/541404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9415/972, 9408/557.
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 9415/972,9408/557?
Given fractions are 9415/972,9408/557
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 9415/972,9408/557, numerators are 9415,9408
Denominators are 972,557
The GCF of 9415,9408 is 7 .
LCM of 972,557 is 541404.
The greatest common factor of 9415/972,9408/557 = [GCF of 9415,9408]/[LCM of 972,557]= 7/541404
Therefore, the GCF of 9415/972,9408/557 is 7/541404.
To find the highest common factor of 9415,9408, we have to find the factors of both numbers and list the highest common factor.
The factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415
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 HCF of 9415,9408 is 7.
Lets's calculate GCF of 9415,9408
| 7 | 9415, 9408 |
| 1345, 1344 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9415,9408 By Matching Biggest Common Factor Method
Now, list down the factors of 9415
:1,5,7,35,269,1345,1883,9415
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
Greatest Common Factor
We found the factors 9415,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 9415,9408 is 7.
Lets's calculate LCM of 972,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 541404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/541404
Therefore, the GCF of Fractions 9415/972,9408/557 is 7/541404
Least Common Multiple of 972,557 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 972,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,557) x common factors =1 x 1 = 1
LCM(972,557) = ( 972 × 557 ) / 1
LCM(972,557) = 541404 / 1
LCM(972,557) = 541404
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FAQs on GCF of Fractions of 9415/972, 9408/557
1. What is the HCF of 9415,9408?
The HCF of 9415,9408 is 7
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 9415/972, 9408/557?
Answer: GCF of Numerators as per given numbers 9415/972, 9408/557 is
GCF of Numerators i.e. for 9415,9408 is 7
LCM of denominators i.e. for 972,557 is 541404.
Thus, GCF of Fractions is 7/541404.Finally, GCF of Fractions for 9415/972, 9408/557 is 7/541404.