Use our free GCF of Fractions Calculator tool to compute the GCF of 1/97, 37/73, 49/335, 602/377 i.e 1/894294895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/97, 37/73, 49/335, 602/377.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/97,37/73,49/335,602/377
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 1/97,37/73,49/335,602/377, numerators are 1,37,49,602
Denominators are 97,73,335,377
The GCF of 1,37,49,602 is 1 .
LCM of 97,73,335,377 is 894294895.
The greatest common factor of 1/97,37/73,49/335,602/377 = [GCF of 1,37,49,602]/[LCM of 97,73,335,377]= 1/894294895
Therefore, the GCF of 1/97,37/73,49/335,602/377 is 1/894294895.
To find the highest common factor of 1,37,49,602, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 37 are 1, 37
The factors of 49 are 1, 7, 49
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The HCF of 1,37,49,602 is 1.
Lets's calculate GCF of 1,37,49,602
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1
:1
Now, list down the factors of 37
:1,37
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 1,37,49,602 . The biggest common factor number is the GCF number.
So the greatest common factor 1,37,49,602 is 1.
Lets's calculate LCM of 97,73,335,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 894294895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894294895
Therefore, the GCF of Fractions 1/97,37/73,49/335,602/377 is 1/894294895
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 97,73,335,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,73,335,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,73,335,377) x common factors =1 x 1 = 1
LCM(97,73,335,377) = ( 97 × 73 × 335 × 377 ) / 1
LCM(97,73,335,377) = 894294895 / 1
LCM(97,73,335,377) = 894294895
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,37,49,602?
The HCF of 1,37,49,602 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 1/97, 37/73, 49/335, 602/377?
Answer: GCF of Numerators as per given numbers 1/97, 37/73, 49/335, 602/377 is
GCF of Numerators i.e. for 1,37,49,602 is 1
LCM of denominators i.e. for 97,73,335,377 is 894294895.
Thus, GCF of Fractions is 1/894294895.Finally, GCF of Fractions for 1/97, 37/73, 49/335, 602/377 is 1/894294895.