GCF of 1962/271, 2952/3267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1962/271, 2952/3267 i.e 18/885357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1962/271, 2952/3267.
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 1962/271,2952/3267?
Given fractions are 1962/271,2952/3267
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 1962/271,2952/3267, numerators are 1962,2952
Denominators are 271,3267
The GCF of 1962,2952 is 18 .
LCM of 271,3267 is 885357.
The greatest common factor of 1962/271,2952/3267 = [GCF of 1962,2952]/[LCM of 271,3267]= 18/885357
Therefore, the GCF of 1962/271,2952/3267 is 18/885357.
To find the highest common factor of 1962,2952, we have to find the factors of both numbers and list the highest common factor.
The factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962
The factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952
The HCF of 1962,2952 is 18.
Lets's calculate GCF of 1962,2952
| 2 | 1962, 2952 |
| 3 | 981, 1476 |
| 3 | 327, 492 |
| 109, 164 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 1962,2952 By Matching Biggest Common Factor Method
Now, list down the factors of 1962
:1,2,3,6,9,18,109,218,327,654,981,1962
Now, list down the factors of 2952
:1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952
Greatest Common Factor
We found the factors 1962,2952 . The biggest common factor number is the GCF number.
So the greatest common factor 1962,2952 is 18.
Lets's calculate LCM of 271,3267
Given numbers has no common factors except 1. So, there LCM is their product i.e 885357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/885357
Therefore, the GCF of Fractions 1962/271,2952/3267 is 18/885357
Least Common Multiple of 271,3267 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 271,3267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,3267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,3267) x common factors =1 x 1 = 1
LCM(271,3267) = ( 271 × 3267 ) / 1
LCM(271,3267) = 885357 / 1
LCM(271,3267) = 885357
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FAQs on GCF of Fractions of 1962/271, 2952/3267
1. What is the HCF of 1962,2952?
The HCF of 1962,2952 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 1962/271, 2952/3267?
Answer: GCF of Numerators as per given numbers 1962/271, 2952/3267 is
GCF of Numerators i.e. for 1962,2952 is 18
LCM of denominators i.e. for 271,3267 is 885357.
Thus, GCF of Fractions is 18/885357.Finally, GCF of Fractions for 1962/271, 2952/3267 is 18/885357.