Use our free GCF of Fractions Calculator tool to compute the GCF of 751/768, 217/645 i.e 1/165120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/768, 217/645.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/768,217/645
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 751/768,217/645, numerators are 751,217
Denominators are 768,645
The GCF of 751,217 is 1 .
LCM of 768,645 is 165120.
The greatest common factor of 751/768,217/645 = [GCF of 751,217]/[LCM of 768,645]= 1/165120
Therefore, the GCF of 751/768,217/645 is 1/165120.
To find the highest common factor of 751,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 751 are 1, 751
The factors of 217 are 1, 7, 31, 217
The HCF of 751,217 is 1.
Lets's calculate GCF of 751,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 751
:1,751
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 751,217 . The biggest common factor number is the GCF number.
So the greatest common factor 751,217 is 1.
Lets's calculate LCM of 768,645
3 | 768, 645 |
256, 215 |
∴ So the LCM of the given numbers is 3 x 256 x 215 = 165120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165120
Therefore, the GCF of Fractions 751/768,217/645 is 1/165120
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 768,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,645) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(768,645) x common factors =3 x 1 = 3
LCM(768,645) = ( 768 × 645 ) / 3
LCM(768,645) = 495360 / 3
LCM(768,645) = 165120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 751,217?
The HCF of 751,217 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 751/768, 217/645?
Answer: GCF of Numerators as per given numbers 751/768, 217/645 is
GCF of Numerators i.e. for 751,217 is 1
LCM of denominators i.e. for 768,645 is 165120.
Thus, GCF of Fractions is 1/165120.Finally, GCF of Fractions for 751/768, 217/645 is 1/165120.