GCF of 1889/659, 9870/7983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1889/659, 9870/7983 i.e 1/5260797 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1889/659, 9870/7983.
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 1889/659,9870/7983?
Given fractions are 1889/659,9870/7983
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 1889/659,9870/7983, numerators are 1889,9870
Denominators are 659,7983
The GCF of 1889,9870 is 1 .
LCM of 659,7983 is 5260797.
The greatest common factor of 1889/659,9870/7983 = [GCF of 1889,9870]/[LCM of 659,7983]= 1/5260797
Therefore, the GCF of 1889/659,9870/7983 is 1/5260797.
To find the highest common factor of 1889,9870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1889 are 1, 1889
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 1889,9870 is 1.
Lets's calculate GCF of 1889,9870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1889,9870 By Matching Biggest Common Factor Method
Now, list down the factors of 1889
:1,1889
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 1889,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 1889,9870 is 1.
Lets's calculate LCM of 659,7983
Given numbers has no common factors except 1. So, there LCM is their product i.e 5260797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5260797
Therefore, the GCF of Fractions 1889/659,9870/7983 is 1/5260797
Least Common Multiple of 659,7983 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 659,7983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,7983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,7983) x common factors =1 x 1 = 1
LCM(659,7983) = ( 659 × 7983 ) / 1
LCM(659,7983) = 5260797 / 1
LCM(659,7983) = 5260797
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FAQs on GCF of Fractions of 1889/659, 9870/7983
1. What is the HCF of 1889,9870?
The HCF of 1889,9870 is 1
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 1889/659, 9870/7983?
Answer: GCF of Numerators as per given numbers 1889/659, 9870/7983 is
GCF of Numerators i.e. for 1889,9870 is 1
LCM of denominators i.e. for 659,7983 is 5260797.
Thus, GCF of Fractions is 1/5260797.Finally, GCF of Fractions for 1889/659, 9870/7983 is 1/5260797.