Use our free GCF of Fractions Calculator tool to compute the GCF of 749/917, 753/701 i.e 1/642817 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/917, 753/701.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/917,753/701
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 749/917,753/701, numerators are 749,753
Denominators are 917,701
The GCF of 749,753 is 1 .
LCM of 917,701 is 642817.
The greatest common factor of 749/917,753/701 = [GCF of 749,753]/[LCM of 917,701]= 1/642817
Therefore, the GCF of 749/917,753/701 is 1/642817.
To find the highest common factor of 749,753, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 753 are 1, 3, 251, 753
The HCF of 749,753 is 1.
Lets's calculate GCF of 749,753
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 753
:1,3,251,753
Greatest Common Factor
We found the factors 749,753 . The biggest common factor number is the GCF number.
So the greatest common factor 749,753 is 1.
Lets's calculate LCM of 917,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 642817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642817
Therefore, the GCF of Fractions 749/917,753/701 is 1/642817
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 917,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,701) x common factors =1 x 1 = 1
LCM(917,701) = ( 917 × 701 ) / 1
LCM(917,701) = 642817 / 1
LCM(917,701) = 642817
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 749,753?
The HCF of 749,753 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 749/917, 753/701?
Answer: GCF of Numerators as per given numbers 749/917, 753/701 is
GCF of Numerators i.e. for 749,753 is 1
LCM of denominators i.e. for 917,701 is 642817.
Thus, GCF of Fractions is 1/642817.Finally, GCF of Fractions for 749/917, 753/701 is 1/642817.