GCF of 9711/368, 1926/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9711/368, 1926/200 i.e 9/9200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9711/368, 1926/200.
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 9711/368,1926/200?
Given fractions are 9711/368,1926/200
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 9711/368,1926/200, numerators are 9711,1926
Denominators are 368,200
The GCF of 9711,1926 is 9 .
LCM of 368,200 is 9200.
The greatest common factor of 9711/368,1926/200 = [GCF of 9711,1926]/[LCM of 368,200]= 9/9200
Therefore, the GCF of 9711/368,1926/200 is 9/9200.
To find the highest common factor of 9711,1926, we have to find the factors of both numbers and list the highest common factor.
The factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711
The factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
The HCF of 9711,1926 is 9.
Lets's calculate GCF of 9711,1926
| 3 | 9711, 1926 |
| 3 | 3237, 642 |
| 1079, 214 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9711,1926 By Matching Biggest Common Factor Method
Now, list down the factors of 9711
:1,3,9,13,39,83,117,249,747,1079,3237,9711
Now, list down the factors of 1926
:1,2,3,6,9,18,107,214,321,642,963,1926
Greatest Common Factor
We found the factors 9711,1926 . The biggest common factor number is the GCF number.
So the greatest common factor 9711,1926 is 9.
Lets's calculate LCM of 368,200
| 2 | 368, 200 |
| 2 | 184, 100 |
| 2 | 92, 50 |
| 46, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 46 x 25 = 9200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9200
Therefore, the GCF of Fractions 9711/368,1926/200 is 9/9200
Least Common Multiple of 368,200 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 368,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,200) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(368,200) x common factors =8 x 1 = 8
LCM(368,200) = ( 368 × 200 ) / 8
LCM(368,200) = 73600 / 8
LCM(368,200) = 9200
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FAQs on GCF of Fractions of 9711/368, 1926/200
1. What is the HCF of 9711,1926?
The HCF of 9711,1926 is 9
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 9711/368, 1926/200?
Answer: GCF of Numerators as per given numbers 9711/368, 1926/200 is
GCF of Numerators i.e. for 9711,1926 is 9
LCM of denominators i.e. for 368,200 is 9200.
Thus, GCF of Fractions is 9/9200.Finally, GCF of Fractions for 9711/368, 1926/200 is 9/9200.