Use our free GCF of Fractions Calculator tool to compute the GCF of 778/598, 745/897 i.e 1/1794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 778/598, 745/897.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 778/598,745/897
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 778/598,745/897, numerators are 778,745
Denominators are 598,897
The GCF of 778,745 is 1 .
LCM of 598,897 is 1794.
The greatest common factor of 778/598,745/897 = [GCF of 778,745]/[LCM of 598,897]= 1/1794
Therefore, the GCF of 778/598,745/897 is 1/1794.
To find the highest common factor of 778,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 778 are 1, 2, 389, 778
The factors of 745 are 1, 5, 149, 745
The HCF of 778,745 is 1.
Lets's calculate GCF of 778,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 778
:1,2,389,778
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 778,745 . The biggest common factor number is the GCF number.
So the greatest common factor 778,745 is 1.
Lets's calculate LCM of 598,897
13 | 598, 897 |
23 | 46, 69 |
2, 3 |
∴ So the LCM of the given numbers is 13 x 23 x 2 x 3 = 1794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1794
Therefore, the GCF of Fractions 778/598,745/897 is 1/1794
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 598,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,897) = 299
common factors(in case of two or more numbers have common factors) = 1
GCF(598,897) x common factors =299 x 1 = 299
LCM(598,897) = ( 598 × 897 ) / 299
LCM(598,897) = 536406 / 299
LCM(598,897) = 1794
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 778,745?
The HCF of 778,745 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 778/598, 745/897?
Answer: GCF of Numerators as per given numbers 778/598, 745/897 is
GCF of Numerators i.e. for 778,745 is 1
LCM of denominators i.e. for 598,897 is 1794.
Thus, GCF of Fractions is 1/1794.Finally, GCF of Fractions for 778/598, 745/897 is 1/1794.