GCF of 1511/201, 9648/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1511/201, 9648/396 i.e 1/26532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1511/201, 9648/396.
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 1511/201,9648/396?
Given fractions are 1511/201,9648/396
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 1511/201,9648/396, numerators are 1511,9648
Denominators are 201,396
The GCF of 1511,9648 is 1 .
LCM of 201,396 is 26532.
The greatest common factor of 1511/201,9648/396 = [GCF of 1511,9648]/[LCM of 201,396]= 1/26532
Therefore, the GCF of 1511/201,9648/396 is 1/26532.
To find the highest common factor of 1511,9648, we have to find the factors of both numbers and list the highest common factor.
The factors of 1511 are 1, 1511
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The HCF of 1511,9648 is 1.
Lets's calculate GCF of 1511,9648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1511,9648 By Matching Biggest Common Factor Method
Now, list down the factors of 1511
:1,1511
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Greatest Common Factor
We found the factors 1511,9648 . The biggest common factor number is the GCF number.
So the greatest common factor 1511,9648 is 1.
Lets's calculate LCM of 201,396
| 3 | 201, 396 |
| 67, 132 |
∴ So the LCM of the given numbers is 3 x 67 x 132 = 26532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26532
Therefore, the GCF of Fractions 1511/201,9648/396 is 1/26532
Least Common Multiple of 201,396 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 201,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,396) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,396) x common factors =3 x 1 = 3
LCM(201,396) = ( 201 × 396 ) / 3
LCM(201,396) = 79596 / 3
LCM(201,396) = 26532
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FAQs on GCF of Fractions of 1511/201, 9648/396
1. What is the HCF of 1511,9648?
The HCF of 1511,9648 is 1
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 1511/201, 9648/396?
Answer: GCF of Numerators as per given numbers 1511/201, 9648/396 is
GCF of Numerators i.e. for 1511,9648 is 1
LCM of denominators i.e. for 201,396 is 26532.
Thus, GCF of Fractions is 1/26532.Finally, GCF of Fractions for 1511/201, 9648/396 is 1/26532.