GCF of 520/41, 980/24, 812/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 520/41, 980/24, 812/31 i.e 4/30504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/41, 980/24, 812/31.
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 520/41,980/24,812/31?
Given fractions are 520/41,980/24,812/31
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 520/41,980/24,812/31, numerators are 520,980,812
Denominators are 41,24,31
The GCF of 520,980,812 is 4 .
LCM of 41,24,31 is 30504.
The greatest common factor of 520/41,980/24,812/31 = [GCF of 520,980,812]/[LCM of 41,24,31]= 4/30504
Therefore, the GCF of 520/41,980/24,812/31 is 4/30504.
To find the highest common factor of 520,980,812, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The HCF of 520,980,812 is 4.
Lets's calculate GCF of 520,980,812
| 2 | 520, 980, 812 |
| 2 | 260, 490, 406 |
| 130, 245, 203 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 520,980,812 By Matching Biggest Common Factor Method
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 520,980,812 . The biggest common factor number is the GCF number.
So the greatest common factor 520,980,812 is 4.
Lets's calculate LCM of 41,24,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 30504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30504
Therefore, the GCF of Fractions 520/41,980/24,812/31 is 4/30504
Least Common Multiple of 41,24,31 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 41,24,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,24,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,24,31) x common factors =1 x 1 = 1
LCM(41,24,31) = ( 41 × 24 × 31 ) / 1
LCM(41,24,31) = 30504 / 1
LCM(41,24,31) = 30504
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FAQs on GCF of Fractions of 520/41, 980/24, 812/31
1. What is the HCF of 520,980,812?
The HCF of 520,980,812 is 4
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 520/41, 980/24, 812/31?
Answer: GCF of Numerators as per given numbers 520/41, 980/24, 812/31 is
GCF of Numerators i.e. for 520,980,812 is 4
LCM of denominators i.e. for 41,24,31 is 30504.
Thus, GCF of Fractions is 4/30504.Finally, GCF of Fractions for 520/41, 980/24, 812/31 is 4/30504.