Use our free GCF of Fractions Calculator tool to compute the GCF of 69/916, 374/348, 687/359 i.e 1/28609428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/916, 374/348, 687/359.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/916,374/348,687/359
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 69/916,374/348,687/359, numerators are 69,374,687
Denominators are 916,348,359
The GCF of 69,374,687 is 1 .
LCM of 916,348,359 is 28609428.
The greatest common factor of 69/916,374/348,687/359 = [GCF of 69,374,687]/[LCM of 916,348,359]= 1/28609428
Therefore, the GCF of 69/916,374/348,687/359 is 1/28609428.
To find the highest common factor of 69,374,687, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 687 are 1, 3, 229, 687
The HCF of 69,374,687 is 1.
Lets's calculate GCF of 69,374,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 687
:1,3,229,687
Greatest Common Factor
We found the factors 69,374,687 . The biggest common factor number is the GCF number.
So the greatest common factor 69,374,687 is 1.
Lets's calculate LCM of 916,348,359
2 | 916, 348, 359 |
2 | 458, 174, 359 |
229, 87, 359 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 87 x 359 = 28609428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28609428
Therefore, the GCF of Fractions 69/916,374/348,687/359 is 1/28609428
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 916,348,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,348,359) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(916,348,359) x common factors =1 x 4 = 4
LCM(916,348,359) = ( 916 × 348 × 359 ) / 4
LCM(916,348,359) = 114437712 / 4
LCM(916,348,359) = 28609428
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,374,687?
The HCF of 69,374,687 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 69/916, 374/348, 687/359?
Answer: GCF of Numerators as per given numbers 69/916, 374/348, 687/359 is
GCF of Numerators i.e. for 69,374,687 is 1
LCM of denominators i.e. for 916,348,359 is 28609428.
Thus, GCF of Fractions is 1/28609428.Finally, GCF of Fractions for 69/916, 374/348, 687/359 is 1/28609428.