Use our free GCF of Fractions Calculator tool to compute the GCF of 607/157, 3453/7276 i.e 1/1142332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 607/157, 3453/7276.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 607/157,3453/7276
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 607/157,3453/7276, numerators are 607,3453
Denominators are 157,7276
The GCF of 607,3453 is 1 .
LCM of 157,7276 is 1142332.
The greatest common factor of 607/157,3453/7276 = [GCF of 607,3453]/[LCM of 157,7276]= 1/1142332
Therefore, the GCF of 607/157,3453/7276 is 1/1142332.
To find the highest common factor of 607,3453, we have to find the factors of both numbers and list the highest common factor.
The factors of 607 are 1, 607
The factors of 3453 are 1, 3, 1151, 3453
The HCF of 607,3453 is 1.
Lets's calculate GCF of 607,3453
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 607
:1,607
Now, list down the factors of 3453
:1,3,1151,3453
Greatest Common Factor
We found the factors 607,3453 . The biggest common factor number is the GCF number.
So the greatest common factor 607,3453 is 1.
Lets's calculate LCM of 157,7276
Given numbers has no common factors except 1. So, there LCM is their product i.e 1142332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1142332
Therefore, the GCF of Fractions 607/157,3453/7276 is 1/1142332
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 157,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,7276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,7276) x common factors =1 x 1 = 1
LCM(157,7276) = ( 157 × 7276 ) / 1
LCM(157,7276) = 1142332 / 1
LCM(157,7276) = 1142332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 607,3453?
The HCF of 607,3453 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 607/157, 3453/7276?
Answer: GCF of Numerators as per given numbers 607/157, 3453/7276 is
GCF of Numerators i.e. for 607,3453 is 1
LCM of denominators i.e. for 157,7276 is 1142332.
Thus, GCF of Fractions is 1/1142332.Finally, GCF of Fractions for 607/157, 3453/7276 is 1/1142332.