Use our free GCF of Fractions Calculator tool to compute the GCF of 21/377, 685/353, 701/913 i.e 1/121502953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/377, 685/353, 701/913.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/377,685/353,701/913
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 21/377,685/353,701/913, numerators are 21,685,701
Denominators are 377,353,913
The GCF of 21,685,701 is 1 .
LCM of 377,353,913 is 121502953.
The greatest common factor of 21/377,685/353,701/913 = [GCF of 21,685,701]/[LCM of 377,353,913]= 1/121502953
Therefore, the GCF of 21/377,685/353,701/913 is 1/121502953.
To find the highest common factor of 21,685,701, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 685 are 1, 5, 137, 685
The factors of 701 are 1, 701
The HCF of 21,685,701 is 1.
Lets's calculate GCF of 21,685,701
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 685
:1,5,137,685
Now, list down the factors of 701
:1,701
Greatest Common Factor
We found the factors 21,685,701 . The biggest common factor number is the GCF number.
So the greatest common factor 21,685,701 is 1.
Lets's calculate LCM of 377,353,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 121502953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121502953
Therefore, the GCF of Fractions 21/377,685/353,701/913 is 1/121502953
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 377,353,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,353,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,353,913) x common factors =1 x 1 = 1
LCM(377,353,913) = ( 377 × 353 × 913 ) / 1
LCM(377,353,913) = 121502953 / 1
LCM(377,353,913) = 121502953
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,685,701?
The HCF of 21,685,701 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 21/377, 685/353, 701/913?
Answer: GCF of Numerators as per given numbers 21/377, 685/353, 701/913 is
GCF of Numerators i.e. for 21,685,701 is 1
LCM of denominators i.e. for 377,353,913 is 121502953.
Thus, GCF of Fractions is 1/121502953.Finally, GCF of Fractions for 21/377, 685/353, 701/913 is 1/121502953.