Use our free GCF of Fractions Calculator tool to compute the GCF of 701/897, 217/392 i.e 1/351624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 701/897, 217/392.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 701/897,217/392
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 701/897,217/392, numerators are 701,217
Denominators are 897,392
The GCF of 701,217 is 1 .
LCM of 897,392 is 351624.
The greatest common factor of 701/897,217/392 = [GCF of 701,217]/[LCM of 897,392]= 1/351624
Therefore, the GCF of 701/897,217/392 is 1/351624.
To find the highest common factor of 701,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 701 are 1, 701
The factors of 217 are 1, 7, 31, 217
The HCF of 701,217 is 1.
Lets's calculate GCF of 701,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 701
:1,701
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 701,217 . The biggest common factor number is the GCF number.
So the greatest common factor 701,217 is 1.
Lets's calculate LCM of 897,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 351624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351624
Therefore, the GCF of Fractions 701/897,217/392 is 1/351624
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 897,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,392) x common factors =1 x 1 = 1
LCM(897,392) = ( 897 × 392 ) / 1
LCM(897,392) = 351624 / 1
LCM(897,392) = 351624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 701,217?
The HCF of 701,217 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 701/897, 217/392?
Answer: GCF of Numerators as per given numbers 701/897, 217/392 is
GCF of Numerators i.e. for 701,217 is 1
LCM of denominators i.e. for 897,392 is 351624.
Thus, GCF of Fractions is 1/351624.Finally, GCF of Fractions for 701/897, 217/392 is 1/351624.