GCF of 321/702, 2310/5850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 321/702, 2310/5850 i.e 3/17550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 321/702, 2310/5850.
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 321/702,2310/5850?
Given fractions are 321/702,2310/5850
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 321/702,2310/5850, numerators are 321,2310
Denominators are 702,5850
The GCF of 321,2310 is 3 .
LCM of 702,5850 is 17550.
The greatest common factor of 321/702,2310/5850 = [GCF of 321,2310]/[LCM of 702,5850]= 3/17550
Therefore, the GCF of 321/702,2310/5850 is 3/17550.
To find the highest common factor of 321,2310, we have to find the factors of both numbers and list the highest common factor.
The factors of 321 are 1, 3, 107, 321
The factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
The HCF of 321,2310 is 3.
Lets's calculate GCF of 321,2310
| 3 | 321, 2310 |
| 107, 770 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 321,2310 By Matching Biggest Common Factor Method
Now, list down the factors of 321
:1,3,107,321
Now, list down the factors of 2310
:1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310
Greatest Common Factor
We found the factors 321,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 321,2310 is 3.
Lets's calculate LCM of 702,5850
| 2 | 702, 5850 |
| 3 | 351, 2925 |
| 3 | 117, 975 |
| 13 | 39, 325 |
| 3, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 3 x 25 = 17550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17550
Therefore, the GCF of Fractions 321/702,2310/5850 is 3/17550
Least Common Multiple of 702,5850 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 702,5850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,5850) = 234
common factors(in case of two or more numbers have common factors) = 1
GCF(702,5850) x common factors =234 x 1 = 234
LCM(702,5850) = ( 702 × 5850 ) / 234
LCM(702,5850) = 4106700 / 234
LCM(702,5850) = 17550
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FAQs on GCF of Fractions of 321/702, 2310/5850
1. What is the HCF of 321,2310?
The HCF of 321,2310 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 321/702, 2310/5850?
Answer: GCF of Numerators as per given numbers 321/702, 2310/5850 is
GCF of Numerators i.e. for 321,2310 is 3
LCM of denominators i.e. for 702,5850 is 17550.
Thus, GCF of Fractions is 3/17550.Finally, GCF of Fractions for 321/702, 2310/5850 is 3/17550.