GCF of 9762/200, 9492/9166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9762/200, 9492/9166 i.e 6/916600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9762/200, 9492/9166.
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 9762/200,9492/9166?
Given fractions are 9762/200,9492/9166
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 9762/200,9492/9166, numerators are 9762,9492
Denominators are 200,9166
The GCF of 9762,9492 is 6 .
LCM of 200,9166 is 916600.
The greatest common factor of 9762/200,9492/9166 = [GCF of 9762,9492]/[LCM of 200,9166]= 6/916600
Therefore, the GCF of 9762/200,9492/9166 is 6/916600.
To find the highest common factor of 9762,9492, we have to find the factors of both numbers and list the highest common factor.
The factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762
The factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492
The HCF of 9762,9492 is 6.
Lets's calculate GCF of 9762,9492
| 2 | 9762, 9492 |
| 3 | 4881, 4746 |
| 1627, 1582 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9762,9492 By Matching Biggest Common Factor Method
Now, list down the factors of 9762
:1,2,3,6,1627,3254,4881,9762
Now, list down the factors of 9492
:1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Greatest Common Factor
We found the factors 9762,9492 . The biggest common factor number is the GCF number.
So the greatest common factor 9762,9492 is 6.
Lets's calculate LCM of 200,9166
| 2 | 200, 9166 |
| 100, 4583 |
∴ So the LCM of the given numbers is 2 x 100 x 4583 = 916600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/916600
Therefore, the GCF of Fractions 9762/200,9492/9166 is 6/916600
Least Common Multiple of 200,9166 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 200,9166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,9166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,9166) x common factors =2 x 1 = 2
LCM(200,9166) = ( 200 × 9166 ) / 2
LCM(200,9166) = 1833200 / 2
LCM(200,9166) = 916600
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FAQs on GCF of Fractions of 9762/200, 9492/9166
1. What is the HCF of 9762,9492?
The HCF of 9762,9492 is 6
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 9762/200, 9492/9166?
Answer: GCF of Numerators as per given numbers 9762/200, 9492/9166 is
GCF of Numerators i.e. for 9762,9492 is 6
LCM of denominators i.e. for 200,9166 is 916600.
Thus, GCF of Fractions is 6/916600.Finally, GCF of Fractions for 9762/200, 9492/9166 is 6/916600.