GCF of 8030/938, 9570/4983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8030/938, 9570/4983 i.e 110/4674054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8030/938, 9570/4983.
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 8030/938,9570/4983?
Given fractions are 8030/938,9570/4983
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 8030/938,9570/4983, numerators are 8030,9570
Denominators are 938,4983
The GCF of 8030,9570 is 110 .
LCM of 938,4983 is 4674054.
The greatest common factor of 8030/938,9570/4983 = [GCF of 8030,9570]/[LCM of 938,4983]= 110/4674054
Therefore, the GCF of 8030/938,9570/4983 is 110/4674054.
To find the highest common factor of 8030,9570, we have to find the factors of both numbers and list the highest common factor.
The factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030
The factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570
The HCF of 8030,9570 is 110.
Lets's calculate GCF of 8030,9570
| 2 | 8030, 9570 |
| 5 | 4015, 4785 |
| 11 | 803, 957 |
| 73, 87 |
∴ So the GCF of the given numbers is 2 x 5 x 11 = 110
Greatest Common Factor of 8030,9570 By Matching Biggest Common Factor Method
Now, list down the factors of 8030
:1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030
Now, list down the factors of 9570
:1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Greatest Common Factor
We found the factors 8030,9570 . The biggest common factor number is the GCF number.
So the greatest common factor 8030,9570 is 110.
Lets's calculate LCM of 938,4983
Given numbers has no common factors except 1. So, there LCM is their product i.e 4674054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 110/4674054
Therefore, the GCF of Fractions 8030/938,9570/4983 is 110/4674054
Least Common Multiple of 938,4983 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 938,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,4983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,4983) x common factors =1 x 1 = 1
LCM(938,4983) = ( 938 × 4983 ) / 1
LCM(938,4983) = 4674054 / 1
LCM(938,4983) = 4674054
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FAQs on GCF of Fractions of 8030/938, 9570/4983
1. What is the HCF of 8030,9570?
The HCF of 8030,9570 is 110
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 8030/938, 9570/4983?
Answer: GCF of Numerators as per given numbers 8030/938, 9570/4983 is
GCF of Numerators i.e. for 8030,9570 is 110
LCM of denominators i.e. for 938,4983 is 4674054.
Thus, GCF of Fractions is 110/4674054.Finally, GCF of Fractions for 8030/938, 9570/4983 is 110/4674054.