GCF of 2980/230, 8712/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2980/230, 8712/500 i.e 4/11500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2980/230, 8712/500.
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 2980/230,8712/500?
Given fractions are 2980/230,8712/500
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 2980/230,8712/500, numerators are 2980,8712
Denominators are 230,500
The GCF of 2980,8712 is 4 .
LCM of 230,500 is 11500.
The greatest common factor of 2980/230,8712/500 = [GCF of 2980,8712]/[LCM of 230,500]= 4/11500
Therefore, the GCF of 2980/230,8712/500 is 4/11500.
To find the highest common factor of 2980,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 2980 are 1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The HCF of 2980,8712 is 4.
Lets's calculate GCF of 2980,8712
| 2 | 2980, 8712 |
| 2 | 1490, 4356 |
| 745, 2178 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2980,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 2980
:1,2,4,5,10,20,149,298,596,745,1490,2980
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 2980,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 2980,8712 is 4.
Lets's calculate LCM of 230,500
| 2 | 230, 500 |
| 5 | 115, 250 |
| 23, 50 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 50 = 11500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11500
Therefore, the GCF of Fractions 2980/230,8712/500 is 4/11500
Least Common Multiple of 230,500 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 230,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,500) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(230,500) x common factors =10 x 1 = 10
LCM(230,500) = ( 230 × 500 ) / 10
LCM(230,500) = 115000 / 10
LCM(230,500) = 11500
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FAQs on GCF of Fractions of 2980/230, 8712/500
1. What is the HCF of 2980,8712?
The HCF of 2980,8712 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 2980/230, 8712/500?
Answer: GCF of Numerators as per given numbers 2980/230, 8712/500 is
GCF of Numerators i.e. for 2980,8712 is 4
LCM of denominators i.e. for 230,500 is 11500.
Thus, GCF of Fractions is 4/11500.Finally, GCF of Fractions for 2980/230, 8712/500 is 4/11500.