Use our free GCF of Fractions Calculator tool to compute the GCF of 962/674, 269/172 i.e 1/57964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/674, 269/172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/674,269/172
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 962/674,269/172, numerators are 962,269
Denominators are 674,172
The GCF of 962,269 is 1 .
LCM of 674,172 is 57964.
The greatest common factor of 962/674,269/172 = [GCF of 962,269]/[LCM of 674,172]= 1/57964
Therefore, the GCF of 962/674,269/172 is 1/57964.
To find the highest common factor of 962,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 269 are 1, 269
The HCF of 962,269 is 1.
Lets's calculate GCF of 962,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 962,269 . The biggest common factor number is the GCF number.
So the greatest common factor 962,269 is 1.
Lets's calculate LCM of 674,172
2 | 674, 172 |
337, 86 |
∴ So the LCM of the given numbers is 2 x 337 x 86 = 57964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57964
Therefore, the GCF of Fractions 962/674,269/172 is 1/57964
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 674,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,172) x common factors =2 x 1 = 2
LCM(674,172) = ( 674 × 172 ) / 2
LCM(674,172) = 115928 / 2
LCM(674,172) = 57964
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 962,269?
The HCF of 962,269 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 962/674, 269/172?
Answer: GCF of Numerators as per given numbers 962/674, 269/172 is
GCF of Numerators i.e. for 962,269 is 1
LCM of denominators i.e. for 674,172 is 57964.
Thus, GCF of Fractions is 1/57964.Finally, GCF of Fractions for 962/674, 269/172 is 1/57964.