Use our free GCF of Fractions Calculator tool to compute the GCF of 896/921, 719/358 i.e 1/329718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/921, 719/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/921,719/358
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 896/921,719/358, numerators are 896,719
Denominators are 921,358
The GCF of 896,719 is 1 .
LCM of 921,358 is 329718.
The greatest common factor of 896/921,719/358 = [GCF of 896,719]/[LCM of 921,358]= 1/329718
Therefore, the GCF of 896/921,719/358 is 1/329718.
To find the highest common factor of 896,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 719 are 1, 719
The HCF of 896,719 is 1.
Lets's calculate GCF of 896,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 896,719 . The biggest common factor number is the GCF number.
So the greatest common factor 896,719 is 1.
Lets's calculate LCM of 921,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 329718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329718
Therefore, the GCF of Fractions 896/921,719/358 is 1/329718
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 921,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,358) x common factors =1 x 1 = 1
LCM(921,358) = ( 921 × 358 ) / 1
LCM(921,358) = 329718 / 1
LCM(921,358) = 329718
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,719?
The HCF of 896,719 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 896/921, 719/358?
Answer: GCF of Numerators as per given numbers 896/921, 719/358 is
GCF of Numerators i.e. for 896,719 is 1
LCM of denominators i.e. for 921,358 is 329718.
Thus, GCF of Fractions is 1/329718.Finally, GCF of Fractions for 896/921, 719/358 is 1/329718.