Use our free GCF of Fractions Calculator tool to compute the GCF of 751/645, 207/954 i.e 1/205110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/645, 207/954.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/645,207/954
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 751/645,207/954, numerators are 751,207
Denominators are 645,954
The GCF of 751,207 is 1 .
LCM of 645,954 is 205110.
The greatest common factor of 751/645,207/954 = [GCF of 751,207]/[LCM of 645,954]= 1/205110
Therefore, the GCF of 751/645,207/954 is 1/205110.
To find the highest common factor of 751,207, 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 207 are 1, 3, 9, 23, 69, 207
The HCF of 751,207 is 1.
Lets's calculate GCF of 751,207
∴ 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 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 751,207 . The biggest common factor number is the GCF number.
So the greatest common factor 751,207 is 1.
Lets's calculate LCM of 645,954
3 | 645, 954 |
215, 318 |
∴ So the LCM of the given numbers is 3 x 215 x 318 = 205110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205110
Therefore, the GCF of Fractions 751/645,207/954 is 1/205110
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 645,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,954) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(645,954) x common factors =3 x 1 = 3
LCM(645,954) = ( 645 × 954 ) / 3
LCM(645,954) = 615330 / 3
LCM(645,954) = 205110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 751,207?
The HCF of 751,207 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 751/645, 207/954?
Answer: GCF of Numerators as per given numbers 751/645, 207/954 is
GCF of Numerators i.e. for 751,207 is 1
LCM of denominators i.e. for 645,954 is 205110.
Thus, GCF of Fractions is 1/205110.Finally, GCF of Fractions for 751/645, 207/954 is 1/205110.