GCF of 1821/889, 8470/3344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1821/889, 8470/3344 i.e 1/2972816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1821/889, 8470/3344.
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 1821/889,8470/3344?
Given fractions are 1821/889,8470/3344
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 1821/889,8470/3344, numerators are 1821,8470
Denominators are 889,3344
The GCF of 1821,8470 is 1 .
LCM of 889,3344 is 2972816.
The greatest common factor of 1821/889,8470/3344 = [GCF of 1821,8470]/[LCM of 889,3344]= 1/2972816
Therefore, the GCF of 1821/889,8470/3344 is 1/2972816.
To find the highest common factor of 1821,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 1821 are 1, 3, 607, 1821
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 1821,8470 is 1.
Lets's calculate GCF of 1821,8470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1821,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 1821
:1,3,607,1821
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 1821,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 1821,8470 is 1.
Lets's calculate LCM of 889,3344
Given numbers has no common factors except 1. So, there LCM is their product i.e 2972816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2972816
Therefore, the GCF of Fractions 1821/889,8470/3344 is 1/2972816
Least Common Multiple of 889,3344 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 889,3344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,3344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,3344) x common factors =1 x 1 = 1
LCM(889,3344) = ( 889 × 3344 ) / 1
LCM(889,3344) = 2972816 / 1
LCM(889,3344) = 2972816
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FAQs on GCF of Fractions of 1821/889, 8470/3344
1. What is the HCF of 1821,8470?
The HCF of 1821,8470 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 1821/889, 8470/3344?
Answer: GCF of Numerators as per given numbers 1821/889, 8470/3344 is
GCF of Numerators i.e. for 1821,8470 is 1
LCM of denominators i.e. for 889,3344 is 2972816.
Thus, GCF of Fractions is 1/2972816.Finally, GCF of Fractions for 1821/889, 8470/3344 is 1/2972816.