Use our free GCF of Fractions Calculator tool to compute the GCF of 706/421, 262/705 i.e 2/296805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/421, 262/705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 706/421,262/705
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 706/421,262/705, numerators are 706,262
Denominators are 421,705
The GCF of 706,262 is 2 .
LCM of 421,705 is 296805.
The greatest common factor of 706/421,262/705 = [GCF of 706,262]/[LCM of 421,705]= 2/296805
Therefore, the GCF of 706/421,262/705 is 2/296805.
To find the highest common factor of 706,262, we have to find the factors of both numbers and list the highest common factor.
The factors of 706 are 1, 2, 353, 706
The factors of 262 are 1, 2, 131, 262
The HCF of 706,262 is 2.
Lets's calculate GCF of 706,262
2 | 706, 262 |
353, 131 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 262
:1,2,131,262
Greatest Common Factor
We found the factors 706,262 . The biggest common factor number is the GCF number.
So the greatest common factor 706,262 is 2.
Lets's calculate LCM of 421,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 296805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/296805
Therefore, the GCF of Fractions 706/421,262/705 is 2/296805
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 421,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,705) x common factors =1 x 1 = 1
LCM(421,705) = ( 421 × 705 ) / 1
LCM(421,705) = 296805 / 1
LCM(421,705) = 296805
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 706,262?
The HCF of 706,262 is 2
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 706/421, 262/705?
Answer: GCF of Numerators as per given numbers 706/421, 262/705 is
GCF of Numerators i.e. for 706,262 is 2
LCM of denominators i.e. for 421,705 is 296805.
Thus, GCF of Fractions is 2/296805.Finally, GCF of Fractions for 706/421, 262/705 is 2/296805.