GCF of 1296/673, 2274/5162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1296/673, 2274/5162 i.e 6/3474026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1296/673, 2274/5162.
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 1296/673,2274/5162?
Given fractions are 1296/673,2274/5162
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 1296/673,2274/5162, numerators are 1296,2274
Denominators are 673,5162
The GCF of 1296,2274 is 6 .
LCM of 673,5162 is 3474026.
The greatest common factor of 1296/673,2274/5162 = [GCF of 1296,2274]/[LCM of 673,5162]= 6/3474026
Therefore, the GCF of 1296/673,2274/5162 is 6/3474026.
To find the highest common factor of 1296,2274, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The HCF of 1296,2274 is 6.
Lets's calculate GCF of 1296,2274
| 2 | 1296, 2274 |
| 3 | 648, 1137 |
| 216, 379 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1296,2274 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2274
:1,2,3,6,379,758,1137,2274
Greatest Common Factor
We found the factors 1296,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 1296,2274 is 6.
Lets's calculate LCM of 673,5162
Given numbers has no common factors except 1. So, there LCM is their product i.e 3474026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3474026
Therefore, the GCF of Fractions 1296/673,2274/5162 is 6/3474026
Least Common Multiple of 673,5162 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 673,5162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,5162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,5162) x common factors =1 x 1 = 1
LCM(673,5162) = ( 673 × 5162 ) / 1
LCM(673,5162) = 3474026 / 1
LCM(673,5162) = 3474026
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FAQs on GCF of Fractions of 1296/673, 2274/5162
1. What is the HCF of 1296,2274?
The HCF of 1296,2274 is 6
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 1296/673, 2274/5162?
Answer: GCF of Numerators as per given numbers 1296/673, 2274/5162 is
GCF of Numerators i.e. for 1296,2274 is 6
LCM of denominators i.e. for 673,5162 is 3474026.
Thus, GCF of Fractions is 6/3474026.Finally, GCF of Fractions for 1296/673, 2274/5162 is 6/3474026.