Use our free GCF of Fractions Calculator tool to compute the GCF of 937/776, 698/743 i.e 1/576568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/776, 698/743.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/776,698/743
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 937/776,698/743, numerators are 937,698
Denominators are 776,743
The GCF of 937,698 is 1 .
LCM of 776,743 is 576568.
The greatest common factor of 937/776,698/743 = [GCF of 937,698]/[LCM of 776,743]= 1/576568
Therefore, the GCF of 937/776,698/743 is 1/576568.
To find the highest common factor of 937,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 698 are 1, 2, 349, 698
The HCF of 937,698 is 1.
Lets's calculate GCF of 937,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 937
:1,937
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 937,698 . The biggest common factor number is the GCF number.
So the greatest common factor 937,698 is 1.
Lets's calculate LCM of 776,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 576568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576568
Therefore, the GCF of Fractions 937/776,698/743 is 1/576568
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 776,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,743) x common factors =1 x 1 = 1
LCM(776,743) = ( 776 × 743 ) / 1
LCM(776,743) = 576568 / 1
LCM(776,743) = 576568
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 937,698?
The HCF of 937,698 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 937/776, 698/743?
Answer: GCF of Numerators as per given numbers 937/776, 698/743 is
GCF of Numerators i.e. for 937,698 is 1
LCM of denominators i.e. for 776,743 is 576568.
Thus, GCF of Fractions is 1/576568.Finally, GCF of Fractions for 937/776, 698/743 is 1/576568.