GCF of 1070/381, 9870/2845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1070/381, 9870/2845 i.e 10/1083945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1070/381, 9870/2845.
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 1070/381,9870/2845?
Given fractions are 1070/381,9870/2845
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 1070/381,9870/2845, numerators are 1070,9870
Denominators are 381,2845
The GCF of 1070,9870 is 10 .
LCM of 381,2845 is 1083945.
The greatest common factor of 1070/381,9870/2845 = [GCF of 1070,9870]/[LCM of 381,2845]= 10/1083945
Therefore, the GCF of 1070/381,9870/2845 is 10/1083945.
To find the highest common factor of 1070,9870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The HCF of 1070,9870 is 10.
Lets's calculate GCF of 1070,9870
| 2 | 1070, 9870 |
| 5 | 535, 4935 |
| 107, 987 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1070,9870 By Matching Biggest Common Factor Method
Now, list down the factors of 1070
:1,2,5,10,107,214,535,1070
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Greatest Common Factor
We found the factors 1070,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 1070,9870 is 10.
Lets's calculate LCM of 381,2845
Given numbers has no common factors except 1. So, there LCM is their product i.e 1083945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1083945
Therefore, the GCF of Fractions 1070/381,9870/2845 is 10/1083945
Least Common Multiple of 381,2845 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 381,2845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,2845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,2845) x common factors =1 x 1 = 1
LCM(381,2845) = ( 381 × 2845 ) / 1
LCM(381,2845) = 1083945 / 1
LCM(381,2845) = 1083945
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FAQs on GCF of Fractions of 1070/381, 9870/2845
1. What is the HCF of 1070,9870?
The HCF of 1070,9870 is 10
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 1070/381, 9870/2845?
Answer: GCF of Numerators as per given numbers 1070/381, 9870/2845 is
GCF of Numerators i.e. for 1070,9870 is 10
LCM of denominators i.e. for 381,2845 is 1083945.
Thus, GCF of Fractions is 10/1083945.Finally, GCF of Fractions for 1070/381, 9870/2845 is 10/1083945.