GCF of 2948/923, 3069/1836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2948/923, 3069/1836 i.e 11/1694628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2948/923, 3069/1836.
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 2948/923,3069/1836?
Given fractions are 2948/923,3069/1836
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 2948/923,3069/1836, numerators are 2948,3069
Denominators are 923,1836
The GCF of 2948,3069 is 11 .
LCM of 923,1836 is 1694628.
The greatest common factor of 2948/923,3069/1836 = [GCF of 2948,3069]/[LCM of 923,1836]= 11/1694628
Therefore, the GCF of 2948/923,3069/1836 is 11/1694628.
To find the highest common factor of 2948,3069, we have to find the factors of both numbers and list the highest common factor.
The factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948
The factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069
The HCF of 2948,3069 is 11.
Lets's calculate GCF of 2948,3069
| 11 | 2948, 3069 |
| 268, 279 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2948,3069 By Matching Biggest Common Factor Method
Now, list down the factors of 2948
:1,2,4,11,22,44,67,134,268,737,1474,2948
Now, list down the factors of 3069
:1,3,9,11,31,33,93,99,279,341,1023,3069
Greatest Common Factor
We found the factors 2948,3069 . The biggest common factor number is the GCF number.
So the greatest common factor 2948,3069 is 11.
Lets's calculate LCM of 923,1836
Given numbers has no common factors except 1. So, there LCM is their product i.e 1694628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1694628
Therefore, the GCF of Fractions 2948/923,3069/1836 is 11/1694628
Least Common Multiple of 923,1836 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 923,1836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,1836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,1836) x common factors =1 x 1 = 1
LCM(923,1836) = ( 923 × 1836 ) / 1
LCM(923,1836) = 1694628 / 1
LCM(923,1836) = 1694628
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2948/923, 3069/1836
1. What is the HCF of 2948,3069?
The HCF of 2948,3069 is 11
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 2948/923, 3069/1836?
Answer: GCF of Numerators as per given numbers 2948/923, 3069/1836 is
GCF of Numerators i.e. for 2948,3069 is 11
LCM of denominators i.e. for 923,1836 is 1694628.
Thus, GCF of Fractions is 11/1694628.Finally, GCF of Fractions for 2948/923, 3069/1836 is 11/1694628.