GCF of 7386/672, 2275/3910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7386/672, 2275/3910 i.e 1/1313760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7386/672, 2275/3910.
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 7386/672,2275/3910?
Given fractions are 7386/672,2275/3910
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 7386/672,2275/3910, numerators are 7386,2275
Denominators are 672,3910
The GCF of 7386,2275 is 1 .
LCM of 672,3910 is 1313760.
The greatest common factor of 7386/672,2275/3910 = [GCF of 7386,2275]/[LCM of 672,3910]= 1/1313760
Therefore, the GCF of 7386/672,2275/3910 is 1/1313760.
To find the highest common factor of 7386,2275, we have to find the factors of both numbers and list the highest common factor.
The factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386
The factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275
The HCF of 7386,2275 is 1.
Lets's calculate GCF of 7386,2275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7386,2275 By Matching Biggest Common Factor Method
Now, list down the factors of 7386
:1,2,3,6,1231,2462,3693,7386
Now, list down the factors of 2275
:1,5,7,13,25,35,65,91,175,325,455,2275
Greatest Common Factor
We found the factors 7386,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 7386,2275 is 1.
Lets's calculate LCM of 672,3910
| 2 | 672, 3910 |
| 336, 1955 |
∴ So the LCM of the given numbers is 2 x 336 x 1955 = 1313760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1313760
Therefore, the GCF of Fractions 7386/672,2275/3910 is 1/1313760
Least Common Multiple of 672,3910 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 672,3910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,3910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(672,3910) x common factors =2 x 1 = 2
LCM(672,3910) = ( 672 × 3910 ) / 2
LCM(672,3910) = 2627520 / 2
LCM(672,3910) = 1313760
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7386/672, 2275/3910
1. What is the HCF of 7386,2275?
The HCF of 7386,2275 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 7386/672, 2275/3910?
Answer: GCF of Numerators as per given numbers 7386/672, 2275/3910 is
GCF of Numerators i.e. for 7386,2275 is 1
LCM of denominators i.e. for 672,3910 is 1313760.
Thus, GCF of Fractions is 1/1313760.Finally, GCF of Fractions for 7386/672, 2275/3910 is 1/1313760.