GCF of 982/745, 3210/1965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 982/745, 3210/1965 i.e 2/292785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/745, 3210/1965.
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 982/745,3210/1965?
Given fractions are 982/745,3210/1965
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 982/745,3210/1965, numerators are 982,3210
Denominators are 745,1965
The GCF of 982,3210 is 2 .
LCM of 745,1965 is 292785.
The greatest common factor of 982/745,3210/1965 = [GCF of 982,3210]/[LCM of 745,1965]= 2/292785
Therefore, the GCF of 982/745,3210/1965 is 2/292785.
To find the highest common factor of 982,3210, we have to find the factors of both numbers and list the highest common factor.
The factors of 982 are 1, 2, 491, 982
The factors of 3210 are 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210
The HCF of 982,3210 is 2.
Lets's calculate GCF of 982,3210
| 2 | 982, 3210 |
| 491, 1605 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 982,3210 By Matching Biggest Common Factor Method
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 3210
:1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210
Greatest Common Factor
We found the factors 982,3210 . The biggest common factor number is the GCF number.
So the greatest common factor 982,3210 is 2.
Lets's calculate LCM of 745,1965
| 5 | 745, 1965 |
| 149, 393 |
∴ So the LCM of the given numbers is 5 x 149 x 393 = 292785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/292785
Therefore, the GCF of Fractions 982/745,3210/1965 is 2/292785
Least Common Multiple of 745,1965 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 745,1965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,1965) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(745,1965) x common factors =5 x 1 = 5
LCM(745,1965) = ( 745 × 1965 ) / 5
LCM(745,1965) = 1463925 / 5
LCM(745,1965) = 292785
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FAQs on GCF of Fractions of 982/745, 3210/1965
1. What is the HCF of 982,3210?
The HCF of 982,3210 is 2
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 982/745, 3210/1965?
Answer: GCF of Numerators as per given numbers 982/745, 3210/1965 is
GCF of Numerators i.e. for 982,3210 is 2
LCM of denominators i.e. for 745,1965 is 292785.
Thus, GCF of Fractions is 2/292785.Finally, GCF of Fractions for 982/745, 3210/1965 is 2/292785.