GCF of 4980/988, 3877/6473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4980/988, 3877/6473 i.e 1/6395324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4980/988, 3877/6473.
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 4980/988,3877/6473?
Given fractions are 4980/988,3877/6473
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 4980/988,3877/6473, numerators are 4980,3877
Denominators are 988,6473
The GCF of 4980,3877 is 1 .
LCM of 988,6473 is 6395324.
The greatest common factor of 4980/988,3877/6473 = [GCF of 4980,3877]/[LCM of 988,6473]= 1/6395324
Therefore, the GCF of 4980/988,3877/6473 is 1/6395324.
To find the highest common factor of 4980,3877, we have to find the factors of both numbers and list the highest common factor.
The factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980
The factors of 3877 are 1, 3877
The HCF of 4980,3877 is 1.
Lets's calculate GCF of 4980,3877
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4980,3877 By Matching Biggest Common Factor Method
Now, list down the factors of 4980
:1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980
Now, list down the factors of 3877
:1,3877
Greatest Common Factor
We found the factors 4980,3877 . The biggest common factor number is the GCF number.
So the greatest common factor 4980,3877 is 1.
Lets's calculate LCM of 988,6473
Given numbers has no common factors except 1. So, there LCM is their product i.e 6395324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6395324
Therefore, the GCF of Fractions 4980/988,3877/6473 is 1/6395324
Least Common Multiple of 988,6473 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 988,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,6473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,6473) x common factors =1 x 1 = 1
LCM(988,6473) = ( 988 × 6473 ) / 1
LCM(988,6473) = 6395324 / 1
LCM(988,6473) = 6395324
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4980/988, 3877/6473
1. What is the HCF of 4980,3877?
The HCF of 4980,3877 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 4980/988, 3877/6473?
Answer: GCF of Numerators as per given numbers 4980/988, 3877/6473 is
GCF of Numerators i.e. for 4980,3877 is 1
LCM of denominators i.e. for 988,6473 is 6395324.
Thus, GCF of Fractions is 1/6395324.Finally, GCF of Fractions for 4980/988, 3877/6473 is 1/6395324.