Use our free GCF of Fractions Calculator tool to compute the GCF of 735/503, 994/767 i.e 7/385801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 735/503, 994/767.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 735/503,994/767
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 735/503,994/767, numerators are 735,994
Denominators are 503,767
The GCF of 735,994 is 7 .
LCM of 503,767 is 385801.
The greatest common factor of 735/503,994/767 = [GCF of 735,994]/[LCM of 503,767]= 7/385801
Therefore, the GCF of 735/503,994/767 is 7/385801.
To find the highest common factor of 735,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 735,994 is 7.
Lets's calculate GCF of 735,994
7 | 735, 994 |
105, 142 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 735,994 . The biggest common factor number is the GCF number.
So the greatest common factor 735,994 is 7.
Lets's calculate LCM of 503,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 385801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/385801
Therefore, the GCF of Fractions 735/503,994/767 is 7/385801
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 503,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,767) x common factors =1 x 1 = 1
LCM(503,767) = ( 503 × 767 ) / 1
LCM(503,767) = 385801 / 1
LCM(503,767) = 385801
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 735,994?
The HCF of 735,994 is 7
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 735/503, 994/767?
Answer: GCF of Numerators as per given numbers 735/503, 994/767 is
GCF of Numerators i.e. for 735,994 is 7
LCM of denominators i.e. for 503,767 is 385801.
Thus, GCF of Fractions is 7/385801.Finally, GCF of Fractions for 735/503, 994/767 is 7/385801.