Use our free GCF of Fractions Calculator tool to compute the GCF of 763/663, 422/689 i.e 1/35139 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/663, 422/689.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 763/663,422/689
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 763/663,422/689, numerators are 763,422
Denominators are 663,689
The GCF of 763,422 is 1 .
LCM of 663,689 is 35139.
The greatest common factor of 763/663,422/689 = [GCF of 763,422]/[LCM of 663,689]= 1/35139
Therefore, the GCF of 763/663,422/689 is 1/35139.
To find the highest common factor of 763,422, we have to find the factors of both numbers and list the highest common factor.
The factors of 763 are 1, 7, 109, 763
The factors of 422 are 1, 2, 211, 422
The HCF of 763,422 is 1.
Lets's calculate GCF of 763,422
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 763
:1,7,109,763
Now, list down the factors of 422
:1,2,211,422
Greatest Common Factor
We found the factors 763,422 . The biggest common factor number is the GCF number.
So the greatest common factor 763,422 is 1.
Lets's calculate LCM of 663,689
13 | 663, 689 |
51, 53 |
∴ So the LCM of the given numbers is 13 x 51 x 53 = 35139
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35139
Therefore, the GCF of Fractions 763/663,422/689 is 1/35139
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 663,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,689) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(663,689) x common factors =13 x 1 = 13
LCM(663,689) = ( 663 × 689 ) / 13
LCM(663,689) = 456807 / 13
LCM(663,689) = 35139
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 763,422?
The HCF of 763,422 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 763/663, 422/689?
Answer: GCF of Numerators as per given numbers 763/663, 422/689 is
GCF of Numerators i.e. for 763,422 is 1
LCM of denominators i.e. for 663,689 is 35139.
Thus, GCF of Fractions is 1/35139.Finally, GCF of Fractions for 763/663, 422/689 is 1/35139.