GCF of 982/759, 330/504, 270/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 982/759, 330/504, 270/253 i.e 2/127512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/759, 330/504, 270/253.
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 982/759,330/504,270/253?
Given fractions are 982/759,330/504,270/253
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 982/759,330/504,270/253, numerators are 982,330,270
Denominators are 759,504,253
The GCF of 982,330,270 is 2 .
LCM of 759,504,253 is 127512.
The greatest common factor of 982/759,330/504,270/253 = [GCF of 982,330,270]/[LCM of 759,504,253]= 2/127512
Therefore, the GCF of 982/759,330/504,270/253 is 2/127512.
To find the highest common factor of 982,330,270, 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 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 982,330,270 is 2.
Lets's calculate GCF of 982,330,270
| 2 | 982, 330, 270 |
| 491, 165, 135 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 982,330,270 By Matching Biggest Common Factor Method
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 330
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 982,330,270 . The biggest common factor number is the GCF number.
So the greatest common factor 982,330,270 is 2.
Lets's calculate LCM of 759,504,253
| 3 | 759, 504, 253 |
| 11 | 253, 168, 253 |
| 23 | 23, 168, 23 |
| 1, 168, 1 |
∴ So the LCM of the given numbers is 3 x 11 x 23 x 1 x 168 x 1 = 127512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127512
Therefore, the GCF of Fractions 982/759,330/504,270/253 is 2/127512
Least Common Multiple of 759,504,253 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 759,504,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,504,253) = 1
common factors(in case of two or more numbers have common factors) = 759
GCF(759,504,253) x common factors =1 x 759 = 759
LCM(759,504,253) = ( 759 × 504 × 253 ) / 759
LCM(759,504,253) = 96781608 / 759
LCM(759,504,253) = 127512
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FAQs on GCF of Fractions of 982/759, 330/504, 270/253
1. What is the HCF of 982,330,270?
The HCF of 982,330,270 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 982/759, 330/504, 270/253?
Answer: GCF of Numerators as per given numbers 982/759, 330/504, 270/253 is
GCF of Numerators i.e. for 982,330,270 is 2
LCM of denominators i.e. for 759,504,253 is 127512.
Thus, GCF of Fractions is 2/127512.Finally, GCF of Fractions for 982/759, 330/504, 270/253 is 2/127512.