GCF of 1946/917, 4079/4877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1946/917, 4079/4877 i.e 1/4472209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1946/917, 4079/4877.
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 1946/917,4079/4877?
Given fractions are 1946/917,4079/4877
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 1946/917,4079/4877, numerators are 1946,4079
Denominators are 917,4877
The GCF of 1946,4079 is 1 .
LCM of 917,4877 is 4472209.
The greatest common factor of 1946/917,4079/4877 = [GCF of 1946,4079]/[LCM of 917,4877]= 1/4472209
Therefore, the GCF of 1946/917,4079/4877 is 1/4472209.
To find the highest common factor of 1946,4079, we have to find the factors of both numbers and list the highest common factor.
The factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946
The factors of 4079 are 1, 4079
The HCF of 1946,4079 is 1.
Lets's calculate GCF of 1946,4079
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1946,4079 By Matching Biggest Common Factor Method
Now, list down the factors of 1946
:1,2,7,14,139,278,973,1946
Now, list down the factors of 4079
:1,4079
Greatest Common Factor
We found the factors 1946,4079 . The biggest common factor number is the GCF number.
So the greatest common factor 1946,4079 is 1.
Lets's calculate LCM of 917,4877
Given numbers has no common factors except 1. So, there LCM is their product i.e 4472209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4472209
Therefore, the GCF of Fractions 1946/917,4079/4877 is 1/4472209
Least Common Multiple of 917,4877 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 917,4877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,4877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,4877) x common factors =1 x 1 = 1
LCM(917,4877) = ( 917 × 4877 ) / 1
LCM(917,4877) = 4472209 / 1
LCM(917,4877) = 4472209
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FAQs on GCF of Fractions of 1946/917, 4079/4877
1. What is the HCF of 1946,4079?
The HCF of 1946,4079 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 1946/917, 4079/4877?
Answer: GCF of Numerators as per given numbers 1946/917, 4079/4877 is
GCF of Numerators i.e. for 1946,4079 is 1
LCM of denominators i.e. for 917,4877 is 4472209.
Thus, GCF of Fractions is 1/4472209.Finally, GCF of Fractions for 1946/917, 4079/4877 is 1/4472209.