Use our free GCF of Fractions Calculator tool to compute the GCF of 79/25, 758/48, 874/667 i.e 1/800400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/25, 758/48, 874/667.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/25,758/48,874/667
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 79/25,758/48,874/667, numerators are 79,758,874
Denominators are 25,48,667
The GCF of 79,758,874 is 1 .
LCM of 25,48,667 is 800400.
The greatest common factor of 79/25,758/48,874/667 = [GCF of 79,758,874]/[LCM of 25,48,667]= 1/800400
Therefore, the GCF of 79/25,758/48,874/667 is 1/800400.
To find the highest common factor of 79,758,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 758 are 1, 2, 379, 758
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 79,758,874 is 1.
Lets's calculate GCF of 79,758,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 79
:1,79
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 79,758,874 . The biggest common factor number is the GCF number.
So the greatest common factor 79,758,874 is 1.
Lets's calculate LCM of 25,48,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 800400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/800400
Therefore, the GCF of Fractions 79/25,758/48,874/667 is 1/800400
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 25,48,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,48,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,48,667) x common factors =1 x 1 = 1
LCM(25,48,667) = ( 25 × 48 × 667 ) / 1
LCM(25,48,667) = 800400 / 1
LCM(25,48,667) = 800400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,758,874?
The HCF of 79,758,874 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 79/25, 758/48, 874/667?
Answer: GCF of Numerators as per given numbers 79/25, 758/48, 874/667 is
GCF of Numerators i.e. for 79,758,874 is 1
LCM of denominators i.e. for 25,48,667 is 800400.
Thus, GCF of Fractions is 1/800400.Finally, GCF of Fractions for 79/25, 758/48, 874/667 is 1/800400.