GCF of 1956/113, 1488/7331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1956/113, 1488/7331 i.e 12/828403 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1956/113, 1488/7331.
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 1956/113,1488/7331?
Given fractions are 1956/113,1488/7331
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 1956/113,1488/7331, numerators are 1956,1488
Denominators are 113,7331
The GCF of 1956,1488 is 12 .
LCM of 113,7331 is 828403.
The greatest common factor of 1956/113,1488/7331 = [GCF of 1956,1488]/[LCM of 113,7331]= 12/828403
Therefore, the GCF of 1956/113,1488/7331 is 12/828403.
To find the highest common factor of 1956,1488, we have to find the factors of both numbers and list the highest common factor.
The factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956
The factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488
The HCF of 1956,1488 is 12.
Lets's calculate GCF of 1956,1488
| 2 | 1956, 1488 |
| 2 | 978, 744 |
| 3 | 489, 372 |
| 163, 124 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1956,1488 By Matching Biggest Common Factor Method
Now, list down the factors of 1956
:1,2,3,4,6,12,163,326,489,652,978,1956
Now, list down the factors of 1488
:1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488
Greatest Common Factor
We found the factors 1956,1488 . The biggest common factor number is the GCF number.
So the greatest common factor 1956,1488 is 12.
Lets's calculate LCM of 113,7331
Given numbers has no common factors except 1. So, there LCM is their product i.e 828403
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/828403
Therefore, the GCF of Fractions 1956/113,1488/7331 is 12/828403
Least Common Multiple of 113,7331 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 113,7331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,7331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,7331) x common factors =1 x 1 = 1
LCM(113,7331) = ( 113 × 7331 ) / 1
LCM(113,7331) = 828403 / 1
LCM(113,7331) = 828403
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FAQs on GCF of Fractions of 1956/113, 1488/7331
1. What is the HCF of 1956,1488?
The HCF of 1956,1488 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 1956/113, 1488/7331?
Answer: GCF of Numerators as per given numbers 1956/113, 1488/7331 is
GCF of Numerators i.e. for 1956,1488 is 12
LCM of denominators i.e. for 113,7331 is 828403.
Thus, GCF of Fractions is 12/828403.Finally, GCF of Fractions for 1956/113, 1488/7331 is 12/828403.