GCF of 2179/871, 6099/3974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2179/871, 6099/3974 i.e 1/3461354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2179/871, 6099/3974.
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 2179/871,6099/3974?
Given fractions are 2179/871,6099/3974
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 2179/871,6099/3974, numerators are 2179,6099
Denominators are 871,3974
The GCF of 2179,6099 is 1 .
LCM of 871,3974 is 3461354.
The greatest common factor of 2179/871,6099/3974 = [GCF of 2179,6099]/[LCM of 871,3974]= 1/3461354
Therefore, the GCF of 2179/871,6099/3974 is 1/3461354.
To find the highest common factor of 2179,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 2179 are 1, 2179
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 2179,6099 is 1.
Lets's calculate GCF of 2179,6099
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2179,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 2179
:1,2179
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 2179,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 2179,6099 is 1.
Lets's calculate LCM of 871,3974
Given numbers has no common factors except 1. So, there LCM is their product i.e 3461354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3461354
Therefore, the GCF of Fractions 2179/871,6099/3974 is 1/3461354
Least Common Multiple of 871,3974 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 871,3974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,3974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,3974) x common factors =1 x 1 = 1
LCM(871,3974) = ( 871 × 3974 ) / 1
LCM(871,3974) = 3461354 / 1
LCM(871,3974) = 3461354
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FAQs on GCF of Fractions of 2179/871, 6099/3974
1. What is the HCF of 2179,6099?
The HCF of 2179,6099 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 2179/871, 6099/3974?
Answer: GCF of Numerators as per given numbers 2179/871, 6099/3974 is
GCF of Numerators i.e. for 2179,6099 is 1
LCM of denominators i.e. for 871,3974 is 3461354.
Thus, GCF of Fractions is 1/3461354.Finally, GCF of Fractions for 2179/871, 6099/3974 is 1/3461354.