GCF of 3719/120, 6415/9974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3719/120, 6415/9974 i.e 1/598440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3719/120, 6415/9974.
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 3719/120,6415/9974?
Given fractions are 3719/120,6415/9974
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 3719/120,6415/9974, numerators are 3719,6415
Denominators are 120,9974
The GCF of 3719,6415 is 1 .
LCM of 120,9974 is 598440.
The greatest common factor of 3719/120,6415/9974 = [GCF of 3719,6415]/[LCM of 120,9974]= 1/598440
Therefore, the GCF of 3719/120,6415/9974 is 1/598440.
To find the highest common factor of 3719,6415, we have to find the factors of both numbers and list the highest common factor.
The factors of 3719 are 1, 3719
The factors of 6415 are 1, 5, 1283, 6415
The HCF of 3719,6415 is 1.
Lets's calculate GCF of 3719,6415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3719,6415 By Matching Biggest Common Factor Method
Now, list down the factors of 3719
:1,3719
Now, list down the factors of 6415
:1,5,1283,6415
Greatest Common Factor
We found the factors 3719,6415 . The biggest common factor number is the GCF number.
So the greatest common factor 3719,6415 is 1.
Lets's calculate LCM of 120,9974
| 2 | 120, 9974 |
| 60, 4987 |
∴ So the LCM of the given numbers is 2 x 60 x 4987 = 598440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598440
Therefore, the GCF of Fractions 3719/120,6415/9974 is 1/598440
Least Common Multiple of 120,9974 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 120,9974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,9974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(120,9974) x common factors =2 x 1 = 2
LCM(120,9974) = ( 120 × 9974 ) / 2
LCM(120,9974) = 1196880 / 2
LCM(120,9974) = 598440
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FAQs on GCF of Fractions of 3719/120, 6415/9974
1. What is the HCF of 3719,6415?
The HCF of 3719,6415 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 3719/120, 6415/9974?
Answer: GCF of Numerators as per given numbers 3719/120, 6415/9974 is
GCF of Numerators i.e. for 3719,6415 is 1
LCM of denominators i.e. for 120,9974 is 598440.
Thus, GCF of Fractions is 1/598440.Finally, GCF of Fractions for 3719/120, 6415/9974 is 1/598440.