GCF of 2793/952, 1653/3170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2793/952, 1653/3170 i.e 57/1508920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2793/952, 1653/3170.
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 2793/952,1653/3170?
Given fractions are 2793/952,1653/3170
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 2793/952,1653/3170, numerators are 2793,1653
Denominators are 952,3170
The GCF of 2793,1653 is 57 .
LCM of 952,3170 is 1508920.
The greatest common factor of 2793/952,1653/3170 = [GCF of 2793,1653]/[LCM of 952,3170]= 57/1508920
Therefore, the GCF of 2793/952,1653/3170 is 57/1508920.
To find the highest common factor of 2793,1653, we have to find the factors of both numbers and list the highest common factor.
The factors of 2793 are 1, 3, 7, 19, 21, 49, 57, 133, 147, 399, 931, 2793
The factors of 1653 are 1, 3, 19, 29, 57, 87, 551, 1653
The HCF of 2793,1653 is 57.
Lets's calculate GCF of 2793,1653
| 3 | 2793, 1653 |
| 19 | 931, 551 |
| 49, 29 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 2793,1653 By Matching Biggest Common Factor Method
Now, list down the factors of 2793
:1,3,7,19,21,49,57,133,147,399,931,2793
Now, list down the factors of 1653
:1,3,19,29,57,87,551,1653
Greatest Common Factor
We found the factors 2793,1653 . The biggest common factor number is the GCF number.
So the greatest common factor 2793,1653 is 57.
Lets's calculate LCM of 952,3170
| 2 | 952, 3170 |
| 476, 1585 |
∴ So the LCM of the given numbers is 2 x 476 x 1585 = 1508920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/1508920
Therefore, the GCF of Fractions 2793/952,1653/3170 is 57/1508920
Least Common Multiple of 952,3170 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 952,3170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,3170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(952,3170) x common factors =2 x 1 = 2
LCM(952,3170) = ( 952 × 3170 ) / 2
LCM(952,3170) = 3017840 / 2
LCM(952,3170) = 1508920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2793/952, 1653/3170
1. What is the HCF of 2793,1653?
The HCF of 2793,1653 is 57
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 2793/952, 1653/3170?
Answer: GCF of Numerators as per given numbers 2793/952, 1653/3170 is
GCF of Numerators i.e. for 2793,1653 is 57
LCM of denominators i.e. for 952,3170 is 1508920.
Thus, GCF of Fractions is 57/1508920.Finally, GCF of Fractions for 2793/952, 1653/3170 is 57/1508920.