GCF of 1950/566, 6870/1882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1950/566, 6870/1882 i.e 30/532606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/566, 6870/1882.
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 1950/566,6870/1882?
Given fractions are 1950/566,6870/1882
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 1950/566,6870/1882, numerators are 1950,6870
Denominators are 566,1882
The GCF of 1950,6870 is 30 .
LCM of 566,1882 is 532606.
The greatest common factor of 1950/566,6870/1882 = [GCF of 1950,6870]/[LCM of 566,1882]= 30/532606
Therefore, the GCF of 1950/566,6870/1882 is 30/532606.
To find the highest common factor of 1950,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 1950,6870 is 30.
Lets's calculate GCF of 1950,6870
| 2 | 1950, 6870 |
| 3 | 975, 3435 |
| 5 | 325, 1145 |
| 65, 229 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 1950,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 1950,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,6870 is 30.
Lets's calculate LCM of 566,1882
| 2 | 566, 1882 |
| 283, 941 |
∴ So the LCM of the given numbers is 2 x 283 x 941 = 532606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/532606
Therefore, the GCF of Fractions 1950/566,6870/1882 is 30/532606
Least Common Multiple of 566,1882 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 566,1882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,1882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,1882) x common factors =2 x 1 = 2
LCM(566,1882) = ( 566 × 1882 ) / 2
LCM(566,1882) = 1065212 / 2
LCM(566,1882) = 532606
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FAQs on GCF of Fractions of 1950/566, 6870/1882
1. What is the HCF of 1950,6870?
The HCF of 1950,6870 is 30
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 1950/566, 6870/1882?
Answer: GCF of Numerators as per given numbers 1950/566, 6870/1882 is
GCF of Numerators i.e. for 1950,6870 is 30
LCM of denominators i.e. for 566,1882 is 532606.
Thus, GCF of Fractions is 30/532606.Finally, GCF of Fractions for 1950/566, 6870/1882 is 30/532606.