GCF of 3322/76, 2349/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3322/76, 2349/762 i.e 1/28956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3322/76, 2349/762.
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 3322/76,2349/762?
Given fractions are 3322/76,2349/762
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 3322/76,2349/762, numerators are 3322,2349
Denominators are 76,762
The GCF of 3322,2349 is 1 .
LCM of 76,762 is 28956.
The greatest common factor of 3322/76,2349/762 = [GCF of 3322,2349]/[LCM of 76,762]= 1/28956
Therefore, the GCF of 3322/76,2349/762 is 1/28956.
To find the highest common factor of 3322,2349, we have to find the factors of both numbers and list the highest common factor.
The factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322
The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The HCF of 3322,2349 is 1.
Lets's calculate GCF of 3322,2349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3322,2349 By Matching Biggest Common Factor Method
Now, list down the factors of 3322
:1,2,11,22,151,302,1661,3322
Now, list down the factors of 2349
:1,3,9,27,29,81,87,261,783,2349
Greatest Common Factor
We found the factors 3322,2349 . The biggest common factor number is the GCF number.
So the greatest common factor 3322,2349 is 1.
Lets's calculate LCM of 76,762
| 2 | 76, 762 |
| 38, 381 |
∴ So the LCM of the given numbers is 2 x 38 x 381 = 28956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28956
Therefore, the GCF of Fractions 3322/76,2349/762 is 1/28956
Least Common Multiple of 76,762 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 76,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,762) x common factors =2 x 1 = 2
LCM(76,762) = ( 76 × 762 ) / 2
LCM(76,762) = 57912 / 2
LCM(76,762) = 28956
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FAQs on GCF of Fractions of 3322/76, 2349/762
1. What is the HCF of 3322,2349?
The HCF of 3322,2349 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 3322/76, 2349/762?
Answer: GCF of Numerators as per given numbers 3322/76, 2349/762 is
GCF of Numerators i.e. for 3322,2349 is 1
LCM of denominators i.e. for 76,762 is 28956.
Thus, GCF of Fractions is 1/28956.Finally, GCF of Fractions for 3322/76, 2349/762 is 1/28956.