GCF of 1155/970, 6792/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1155/970, 6792/369 i.e 3/357930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1155/970, 6792/369.
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 1155/970,6792/369?
Given fractions are 1155/970,6792/369
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 1155/970,6792/369, numerators are 1155,6792
Denominators are 970,369
The GCF of 1155,6792 is 3 .
LCM of 970,369 is 357930.
The greatest common factor of 1155/970,6792/369 = [GCF of 1155,6792]/[LCM of 970,369]= 3/357930
Therefore, the GCF of 1155/970,6792/369 is 3/357930.
To find the highest common factor of 1155,6792, we have to find the factors of both numbers and list the highest common factor.
The factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155
The factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792
The HCF of 1155,6792 is 3.
Lets's calculate GCF of 1155,6792
| 3 | 1155, 6792 |
| 385, 2264 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1155,6792 By Matching Biggest Common Factor Method
Now, list down the factors of 1155
:1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155
Now, list down the factors of 6792
:1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792
Greatest Common Factor
We found the factors 1155,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 1155,6792 is 3.
Lets's calculate LCM of 970,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 357930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/357930
Therefore, the GCF of Fractions 1155/970,6792/369 is 3/357930
Least Common Multiple of 970,369 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 970,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,369) x common factors =1 x 1 = 1
LCM(970,369) = ( 970 × 369 ) / 1
LCM(970,369) = 357930 / 1
LCM(970,369) = 357930
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FAQs on GCF of Fractions of 1155/970, 6792/369
1. What is the HCF of 1155,6792?
The HCF of 1155,6792 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 1155/970, 6792/369?
Answer: GCF of Numerators as per given numbers 1155/970, 6792/369 is
GCF of Numerators i.e. for 1155,6792 is 3
LCM of denominators i.e. for 970,369 is 357930.
Thus, GCF of Fractions is 3/357930.Finally, GCF of Fractions for 1155/970, 6792/369 is 3/357930.