GCF of 9192/210, 9780/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9192/210, 9780/164 i.e 12/17220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9192/210, 9780/164.
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 9192/210,9780/164?
Given fractions are 9192/210,9780/164
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 9192/210,9780/164, numerators are 9192,9780
Denominators are 210,164
The GCF of 9192,9780 is 12 .
LCM of 210,164 is 17220.
The greatest common factor of 9192/210,9780/164 = [GCF of 9192,9780]/[LCM of 210,164]= 12/17220
Therefore, the GCF of 9192/210,9780/164 is 12/17220.
To find the highest common factor of 9192,9780, we have to find the factors of both numbers and list the highest common factor.
The factors of 9192 are 1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192
The factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780
The HCF of 9192,9780 is 12.
Lets's calculate GCF of 9192,9780
| 2 | 9192, 9780 |
| 2 | 4596, 4890 |
| 3 | 2298, 2445 |
| 766, 815 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9192,9780 By Matching Biggest Common Factor Method
Now, list down the factors of 9192
:1,2,3,4,6,8,12,24,383,766,1149,1532,2298,3064,4596,9192
Now, list down the factors of 9780
:1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780
Greatest Common Factor
We found the factors 9192,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 9192,9780 is 12.
Lets's calculate LCM of 210,164
| 2 | 210, 164 |
| 105, 82 |
∴ So the LCM of the given numbers is 2 x 105 x 82 = 17220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/17220
Therefore, the GCF of Fractions 9192/210,9780/164 is 12/17220
Least Common Multiple of 210,164 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 210,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(210,164) x common factors =2 x 1 = 2
LCM(210,164) = ( 210 × 164 ) / 2
LCM(210,164) = 34440 / 2
LCM(210,164) = 17220
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FAQs on GCF of Fractions of 9192/210, 9780/164
1. What is the HCF of 9192,9780?
The HCF of 9192,9780 is 12
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 9192/210, 9780/164?
Answer: GCF of Numerators as per given numbers 9192/210, 9780/164 is
GCF of Numerators i.e. for 9192,9780 is 12
LCM of denominators i.e. for 210,164 is 17220.
Thus, GCF of Fractions is 12/17220.Finally, GCF of Fractions for 9192/210, 9780/164 is 12/17220.