GCF of 84/157, 82/520, 964/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 84/157, 82/520, 964/300 i.e 2/1224600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/157, 82/520, 964/300.
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 84/157,82/520,964/300?
Given fractions are 84/157,82/520,964/300
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 84/157,82/520,964/300, numerators are 84,82,964
Denominators are 157,520,300
The GCF of 84,82,964 is 2 .
LCM of 157,520,300 is 1224600.
The greatest common factor of 84/157,82/520,964/300 = [GCF of 84,82,964]/[LCM of 157,520,300]= 2/1224600
Therefore, the GCF of 84/157,82/520,964/300 is 2/1224600.
To find the highest common factor of 84,82,964, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 82 are 1, 2, 41, 82
The factors of 964 are 1, 2, 4, 241, 482, 964
The HCF of 84,82,964 is 2.
Lets's calculate GCF of 84,82,964
| 2 | 84, 82, 964 |
| 42, 41, 482 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 84,82,964 By Matching Biggest Common Factor Method
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 964
:1,2,4,241,482,964
Greatest Common Factor
We found the factors 84,82,964 . The biggest common factor number is the GCF number.
So the greatest common factor 84,82,964 is 2.
Lets's calculate LCM of 157,520,300
| 2 | 157, 520, 300 |
| 2 | 157, 260, 150 |
| 5 | 157, 130, 75 |
| 157, 26, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 157 x 26 x 15 = 1224600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1224600
Therefore, the GCF of Fractions 84/157,82/520,964/300 is 2/1224600
Least Common Multiple of 157,520,300 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 157,520,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,520,300) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(157,520,300) x common factors =1 x 20 = 20
LCM(157,520,300) = ( 157 × 520 × 300 ) / 20
LCM(157,520,300) = 24492000 / 20
LCM(157,520,300) = 1224600
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 84/157, 82/520, 964/300
1. What is the HCF of 84,82,964?
The HCF of 84,82,964 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 84/157, 82/520, 964/300?
Answer: GCF of Numerators as per given numbers 84/157, 82/520, 964/300 is
GCF of Numerators i.e. for 84,82,964 is 2
LCM of denominators i.e. for 157,520,300 is 1224600.
Thus, GCF of Fractions is 2/1224600.Finally, GCF of Fractions for 84/157, 82/520, 964/300 is 2/1224600.