GCF of 3280/222, 1870/3253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3280/222, 1870/3253 i.e 10/722166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3280/222, 1870/3253.
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 3280/222,1870/3253?
Given fractions are 3280/222,1870/3253
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 3280/222,1870/3253, numerators are 3280,1870
Denominators are 222,3253
The GCF of 3280,1870 is 10 .
LCM of 222,3253 is 722166.
The greatest common factor of 3280/222,1870/3253 = [GCF of 3280,1870]/[LCM of 222,3253]= 10/722166
Therefore, the GCF of 3280/222,1870/3253 is 10/722166.
To find the highest common factor of 3280,1870, we have to find the factors of both numbers and list the highest common factor.
The factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The HCF of 3280,1870 is 10.
Lets's calculate GCF of 3280,1870
| 2 | 3280, 1870 |
| 5 | 1640, 935 |
| 328, 187 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3280,1870 By Matching Biggest Common Factor Method
Now, list down the factors of 3280
:1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Greatest Common Factor
We found the factors 3280,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 3280,1870 is 10.
Lets's calculate LCM of 222,3253
Given numbers has no common factors except 1. So, there LCM is their product i.e 722166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/722166
Therefore, the GCF of Fractions 3280/222,1870/3253 is 10/722166
Least Common Multiple of 222,3253 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 222,3253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,3253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,3253) x common factors =1 x 1 = 1
LCM(222,3253) = ( 222 × 3253 ) / 1
LCM(222,3253) = 722166 / 1
LCM(222,3253) = 722166
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FAQs on GCF of Fractions of 3280/222, 1870/3253
1. What is the HCF of 3280,1870?
The HCF of 3280,1870 is 10
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 3280/222, 1870/3253?
Answer: GCF of Numerators as per given numbers 3280/222, 1870/3253 is
GCF of Numerators i.e. for 3280,1870 is 10
LCM of denominators i.e. for 222,3253 is 722166.
Thus, GCF of Fractions is 10/722166.Finally, GCF of Fractions for 3280/222, 1870/3253 is 10/722166.