GCF of 9472/546, 9774/9400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9472/546, 9774/9400 i.e 2/2566200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9472/546, 9774/9400.
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 9472/546,9774/9400?
Given fractions are 9472/546,9774/9400
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 9472/546,9774/9400, numerators are 9472,9774
Denominators are 546,9400
The GCF of 9472,9774 is 2 .
LCM of 546,9400 is 2566200.
The greatest common factor of 9472/546,9774/9400 = [GCF of 9472,9774]/[LCM of 546,9400]= 2/2566200
Therefore, the GCF of 9472/546,9774/9400 is 2/2566200.
To find the highest common factor of 9472,9774, we have to find the factors of both numbers and list the highest common factor.
The factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472
The factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774
The HCF of 9472,9774 is 2.
Lets's calculate GCF of 9472,9774
| 2 | 9472, 9774 |
| 4736, 4887 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9472,9774 By Matching Biggest Common Factor Method
Now, list down the factors of 9472
:1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472
Now, list down the factors of 9774
:1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774
Greatest Common Factor
We found the factors 9472,9774 . The biggest common factor number is the GCF number.
So the greatest common factor 9472,9774 is 2.
Lets's calculate LCM of 546,9400
| 2 | 546, 9400 |
| 273, 4700 |
∴ So the LCM of the given numbers is 2 x 273 x 4700 = 2566200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2566200
Therefore, the GCF of Fractions 9472/546,9774/9400 is 2/2566200
Least Common Multiple of 546,9400 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 546,9400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,9400) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,9400) x common factors =2 x 1 = 2
LCM(546,9400) = ( 546 × 9400 ) / 2
LCM(546,9400) = 5132400 / 2
LCM(546,9400) = 2566200
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FAQs on GCF of Fractions of 9472/546, 9774/9400
1. What is the HCF of 9472,9774?
The HCF of 9472,9774 is 2
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 9472/546, 9774/9400?
Answer: GCF of Numerators as per given numbers 9472/546, 9774/9400 is
GCF of Numerators i.e. for 9472,9774 is 2
LCM of denominators i.e. for 546,9400 is 2566200.
Thus, GCF of Fractions is 2/2566200.Finally, GCF of Fractions for 9472/546, 9774/9400 is 2/2566200.