GCF of 3222/897, 9576/780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3222/897, 9576/780 i.e 18/17940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3222/897, 9576/780.
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 3222/897,9576/780?
Given fractions are 3222/897,9576/780
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 3222/897,9576/780, numerators are 3222,9576
Denominators are 897,780
The GCF of 3222,9576 is 18 .
LCM of 897,780 is 17940.
The greatest common factor of 3222/897,9576/780 = [GCF of 3222,9576]/[LCM of 897,780]= 18/17940
Therefore, the GCF of 3222/897,9576/780 is 18/17940.
To find the highest common factor of 3222,9576, we have to find the factors of both numbers and list the highest common factor.
The factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The HCF of 3222,9576 is 18.
Lets's calculate GCF of 3222,9576
| 2 | 3222, 9576 |
| 3 | 1611, 4788 |
| 3 | 537, 1596 |
| 179, 532 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 3222,9576 By Matching Biggest Common Factor Method
Now, list down the factors of 3222
:1,2,3,6,9,18,179,358,537,1074,1611,3222
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors 3222,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 3222,9576 is 18.
Lets's calculate LCM of 897,780
| 3 | 897, 780 |
| 13 | 299, 260 |
| 23, 20 |
∴ So the LCM of the given numbers is 3 x 13 x 23 x 20 = 17940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/17940
Therefore, the GCF of Fractions 3222/897,9576/780 is 18/17940
Least Common Multiple of 897,780 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 897,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,780) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(897,780) x common factors =39 x 1 = 39
LCM(897,780) = ( 897 × 780 ) / 39
LCM(897,780) = 699660 / 39
LCM(897,780) = 17940
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3222/897, 9576/780
1. What is the HCF of 3222,9576?
The HCF of 3222,9576 is 18
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 3222/897, 9576/780?
Answer: GCF of Numerators as per given numbers 3222/897, 9576/780 is
GCF of Numerators i.e. for 3222,9576 is 18
LCM of denominators i.e. for 897,780 is 17940.
Thus, GCF of Fractions is 18/17940.Finally, GCF of Fractions for 3222/897, 9576/780 is 18/17940.