GCF of 3217/736, 1296/3492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3217/736, 1296/3492 i.e 1/642528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3217/736, 1296/3492.
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 3217/736,1296/3492?
Given fractions are 3217/736,1296/3492
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 3217/736,1296/3492, numerators are 3217,1296
Denominators are 736,3492
The GCF of 3217,1296 is 1 .
LCM of 736,3492 is 642528.
The greatest common factor of 3217/736,1296/3492 = [GCF of 3217,1296]/[LCM of 736,3492]= 1/642528
Therefore, the GCF of 3217/736,1296/3492 is 1/642528.
To find the highest common factor of 3217,1296, we have to find the factors of both numbers and list the highest common factor.
The factors of 3217 are 1, 3217
The factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296
The HCF of 3217,1296 is 1.
Lets's calculate GCF of 3217,1296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3217,1296 By Matching Biggest Common Factor Method
Now, list down the factors of 3217
:1,3217
Now, list down the factors of 1296
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296
Greatest Common Factor
We found the factors 3217,1296 . The biggest common factor number is the GCF number.
So the greatest common factor 3217,1296 is 1.
Lets's calculate LCM of 736,3492
| 2 | 736, 3492 |
| 2 | 368, 1746 |
| 184, 873 |
∴ So the LCM of the given numbers is 2 x 2 x 184 x 873 = 642528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642528
Therefore, the GCF of Fractions 3217/736,1296/3492 is 1/642528
Least Common Multiple of 736,3492 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 736,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,3492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(736,3492) x common factors =4 x 1 = 4
LCM(736,3492) = ( 736 × 3492 ) / 4
LCM(736,3492) = 2570112 / 4
LCM(736,3492) = 642528
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FAQs on GCF of Fractions of 3217/736, 1296/3492
1. What is the HCF of 3217,1296?
The HCF of 3217,1296 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 3217/736, 1296/3492?
Answer: GCF of Numerators as per given numbers 3217/736, 1296/3492 is
GCF of Numerators i.e. for 3217,1296 is 1
LCM of denominators i.e. for 736,3492 is 642528.
Thus, GCF of Fractions is 1/642528.Finally, GCF of Fractions for 3217/736, 1296/3492 is 1/642528.