GCF of 2270/987, 1935/1933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2270/987, 1935/1933 i.e 5/1907871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2270/987, 1935/1933.
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 2270/987,1935/1933?
Given fractions are 2270/987,1935/1933
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 2270/987,1935/1933, numerators are 2270,1935
Denominators are 987,1933
The GCF of 2270,1935 is 5 .
LCM of 987,1933 is 1907871.
The greatest common factor of 2270/987,1935/1933 = [GCF of 2270,1935]/[LCM of 987,1933]= 5/1907871
Therefore, the GCF of 2270/987,1935/1933 is 5/1907871.
To find the highest common factor of 2270,1935, we have to find the factors of both numbers and list the highest common factor.
The factors of 2270 are 1, 2, 5, 10, 227, 454, 1135, 2270
The factors of 1935 are 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935
The HCF of 2270,1935 is 5.
Lets's calculate GCF of 2270,1935
| 5 | 2270, 1935 |
| 454, 387 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2270,1935 By Matching Biggest Common Factor Method
Now, list down the factors of 2270
:1,2,5,10,227,454,1135,2270
Now, list down the factors of 1935
:1,3,5,9,15,43,45,129,215,387,645,1935
Greatest Common Factor
We found the factors 2270,1935 . The biggest common factor number is the GCF number.
So the greatest common factor 2270,1935 is 5.
Lets's calculate LCM of 987,1933
Given numbers has no common factors except 1. So, there LCM is their product i.e 1907871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1907871
Therefore, the GCF of Fractions 2270/987,1935/1933 is 5/1907871
Least Common Multiple of 987,1933 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 987,1933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,1933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,1933) x common factors =1 x 1 = 1
LCM(987,1933) = ( 987 × 1933 ) / 1
LCM(987,1933) = 1907871 / 1
LCM(987,1933) = 1907871
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FAQs on GCF of Fractions of 2270/987, 1935/1933
1. What is the HCF of 2270,1935?
The HCF of 2270,1935 is 5
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 2270/987, 1935/1933?
Answer: GCF of Numerators as per given numbers 2270/987, 1935/1933 is
GCF of Numerators i.e. for 2270,1935 is 5
LCM of denominators i.e. for 987,1933 is 1907871.
Thus, GCF of Fractions is 5/1907871.Finally, GCF of Fractions for 2270/987, 1935/1933 is 5/1907871.