GCF of 2670/170, 7425/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2670/170, 7425/982 i.e 15/83470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2670/170, 7425/982.
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 2670/170,7425/982?
Given fractions are 2670/170,7425/982
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 2670/170,7425/982, numerators are 2670,7425
Denominators are 170,982
The GCF of 2670,7425 is 15 .
LCM of 170,982 is 83470.
The greatest common factor of 2670/170,7425/982 = [GCF of 2670,7425]/[LCM of 170,982]= 15/83470
Therefore, the GCF of 2670/170,7425/982 is 15/83470.
To find the highest common factor of 2670,7425, we have to find the factors of both numbers and list the highest common factor.
The factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670
The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425
The HCF of 2670,7425 is 15.
Lets's calculate GCF of 2670,7425
| 3 | 2670, 7425 |
| 5 | 890, 2475 |
| 178, 495 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2670,7425 By Matching Biggest Common Factor Method
Now, list down the factors of 2670
:1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670
Now, list down the factors of 7425
:1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Greatest Common Factor
We found the factors 2670,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 2670,7425 is 15.
Lets's calculate LCM of 170,982
| 2 | 170, 982 |
| 85, 491 |
∴ So the LCM of the given numbers is 2 x 85 x 491 = 83470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/83470
Therefore, the GCF of Fractions 2670/170,7425/982 is 15/83470
Least Common Multiple of 170,982 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 170,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,982) x common factors =2 x 1 = 2
LCM(170,982) = ( 170 × 982 ) / 2
LCM(170,982) = 166940 / 2
LCM(170,982) = 83470
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FAQs on GCF of Fractions of 2670/170, 7425/982
1. What is the HCF of 2670,7425?
The HCF of 2670,7425 is 15
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 2670/170, 7425/982?
Answer: GCF of Numerators as per given numbers 2670/170, 7425/982 is
GCF of Numerators i.e. for 2670,7425 is 15
LCM of denominators i.e. for 170,982 is 83470.
Thus, GCF of Fractions is 15/83470.Finally, GCF of Fractions for 2670/170, 7425/982 is 15/83470.