GCF of 5370/629, 1722/923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5370/629, 1722/923 i.e 6/580567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5370/629, 1722/923.
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 5370/629,1722/923?
Given fractions are 5370/629,1722/923
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 5370/629,1722/923, numerators are 5370,1722
Denominators are 629,923
The GCF of 5370,1722 is 6 .
LCM of 629,923 is 580567.
The greatest common factor of 5370/629,1722/923 = [GCF of 5370,1722]/[LCM of 629,923]= 6/580567
Therefore, the GCF of 5370/629,1722/923 is 6/580567.
To find the highest common factor of 5370,1722, we have to find the factors of both numbers and list the highest common factor.
The factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
The factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
The HCF of 5370,1722 is 6.
Lets's calculate GCF of 5370,1722
| 2 | 5370, 1722 |
| 3 | 2685, 861 |
| 895, 287 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5370,1722 By Matching Biggest Common Factor Method
Now, list down the factors of 5370
:1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370
Now, list down the factors of 1722
:1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Greatest Common Factor
We found the factors 5370,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 5370,1722 is 6.
Lets's calculate LCM of 629,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 580567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/580567
Therefore, the GCF of Fractions 5370/629,1722/923 is 6/580567
Least Common Multiple of 629,923 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 629,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,923) x common factors =1 x 1 = 1
LCM(629,923) = ( 629 × 923 ) / 1
LCM(629,923) = 580567 / 1
LCM(629,923) = 580567
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5370/629, 1722/923
1. What is the HCF of 5370,1722?
The HCF of 5370,1722 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 5370/629, 1722/923?
Answer: GCF of Numerators as per given numbers 5370/629, 1722/923 is
GCF of Numerators i.e. for 5370,1722 is 6
LCM of denominators i.e. for 629,923 is 580567.
Thus, GCF of Fractions is 6/580567.Finally, GCF of Fractions for 5370/629, 1722/923 is 6/580567.