GCF of 1882/969, 3099/6718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1882/969, 3099/6718 i.e 1/6509742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1882/969, 3099/6718.
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 1882/969,3099/6718?
Given fractions are 1882/969,3099/6718
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 1882/969,3099/6718, numerators are 1882,3099
Denominators are 969,6718
The GCF of 1882,3099 is 1 .
LCM of 969,6718 is 6509742.
The greatest common factor of 1882/969,3099/6718 = [GCF of 1882,3099]/[LCM of 969,6718]= 1/6509742
Therefore, the GCF of 1882/969,3099/6718 is 1/6509742.
To find the highest common factor of 1882,3099, we have to find the factors of both numbers and list the highest common factor.
The factors of 1882 are 1, 2, 941, 1882
The factors of 3099 are 1, 3, 1033, 3099
The HCF of 1882,3099 is 1.
Lets's calculate GCF of 1882,3099
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1882,3099 By Matching Biggest Common Factor Method
Now, list down the factors of 1882
:1,2,941,1882
Now, list down the factors of 3099
:1,3,1033,3099
Greatest Common Factor
We found the factors 1882,3099 . The biggest common factor number is the GCF number.
So the greatest common factor 1882,3099 is 1.
Lets's calculate LCM of 969,6718
Given numbers has no common factors except 1. So, there LCM is their product i.e 6509742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6509742
Therefore, the GCF of Fractions 1882/969,3099/6718 is 1/6509742
Least Common Multiple of 969,6718 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 969,6718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,6718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,6718) x common factors =1 x 1 = 1
LCM(969,6718) = ( 969 × 6718 ) / 1
LCM(969,6718) = 6509742 / 1
LCM(969,6718) = 6509742
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FAQs on GCF of Fractions of 1882/969, 3099/6718
1. What is the HCF of 1882,3099?
The HCF of 1882,3099 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 1882/969, 3099/6718?
Answer: GCF of Numerators as per given numbers 1882/969, 3099/6718 is
GCF of Numerators i.e. for 1882,3099 is 1
LCM of denominators i.e. for 969,6718 is 6509742.
Thus, GCF of Fractions is 1/6509742.Finally, GCF of Fractions for 1882/969, 3099/6718 is 1/6509742.