Use our free GCF of Fractions Calculator tool to compute the GCF of 262/946, 705/138 i.e 1/65274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/946, 705/138.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 262/946,705/138
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 262/946,705/138, numerators are 262,705
Denominators are 946,138
The GCF of 262,705 is 1 .
LCM of 946,138 is 65274.
The greatest common factor of 262/946,705/138 = [GCF of 262,705]/[LCM of 946,138]= 1/65274
Therefore, the GCF of 262/946,705/138 is 1/65274.
To find the highest common factor of 262,705, we have to find the factors of both numbers and list the highest common factor.
The factors of 262 are 1, 2, 131, 262
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The HCF of 262,705 is 1.
Lets's calculate GCF of 262,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 262
:1,2,131,262
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 262,705 . The biggest common factor number is the GCF number.
So the greatest common factor 262,705 is 1.
Lets's calculate LCM of 946,138
2 | 946, 138 |
473, 69 |
∴ So the LCM of the given numbers is 2 x 473 x 69 = 65274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65274
Therefore, the GCF of Fractions 262/946,705/138 is 1/65274
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 946,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,138) x common factors =2 x 1 = 2
LCM(946,138) = ( 946 × 138 ) / 2
LCM(946,138) = 130548 / 2
LCM(946,138) = 65274
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 262,705?
The HCF of 262,705 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 262/946, 705/138?
Answer: GCF of Numerators as per given numbers 262/946, 705/138 is
GCF of Numerators i.e. for 262,705 is 1
LCM of denominators i.e. for 946,138 is 65274.
Thus, GCF of Fractions is 1/65274.Finally, GCF of Fractions for 262/946, 705/138 is 1/65274.