GCF of 2922/812, 8769/1376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2922/812, 8769/1376 i.e 3/279328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2922/812, 8769/1376.
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 2922/812,8769/1376?
Given fractions are 2922/812,8769/1376
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 2922/812,8769/1376, numerators are 2922,8769
Denominators are 812,1376
The GCF of 2922,8769 is 3 .
LCM of 812,1376 is 279328.
The greatest common factor of 2922/812,8769/1376 = [GCF of 2922,8769]/[LCM of 812,1376]= 3/279328
Therefore, the GCF of 2922/812,8769/1376 is 3/279328.
To find the highest common factor of 2922,8769, we have to find the factors of both numbers and list the highest common factor.
The factors of 2922 are 1, 2, 3, 6, 487, 974, 1461, 2922
The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769
The HCF of 2922,8769 is 3.
Lets's calculate GCF of 2922,8769
| 3 | 2922, 8769 |
| 974, 2923 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2922,8769 By Matching Biggest Common Factor Method
Now, list down the factors of 2922
:1,2,3,6,487,974,1461,2922
Now, list down the factors of 8769
:1,3,37,79,111,237,2923,8769
Greatest Common Factor
We found the factors 2922,8769 . The biggest common factor number is the GCF number.
So the greatest common factor 2922,8769 is 3.
Lets's calculate LCM of 812,1376
| 2 | 812, 1376 |
| 2 | 406, 688 |
| 203, 344 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 344 = 279328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/279328
Therefore, the GCF of Fractions 2922/812,8769/1376 is 3/279328
Least Common Multiple of 812,1376 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 812,1376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,1376) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,1376) x common factors =4 x 1 = 4
LCM(812,1376) = ( 812 × 1376 ) / 4
LCM(812,1376) = 1117312 / 4
LCM(812,1376) = 279328
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2922/812, 8769/1376
1. What is the HCF of 2922,8769?
The HCF of 2922,8769 is 3
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 2922/812, 8769/1376?
Answer: GCF of Numerators as per given numbers 2922/812, 8769/1376 is
GCF of Numerators i.e. for 2922,8769 is 3
LCM of denominators i.e. for 812,1376 is 279328.
Thus, GCF of Fractions is 3/279328.Finally, GCF of Fractions for 2922/812, 8769/1376 is 3/279328.