Use our free GCF of Fractions Calculator tool to compute the GCF of 526/970, 782/354 i.e 2/171690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/970, 782/354.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 526/970,782/354
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 526/970,782/354, numerators are 526,782
Denominators are 970,354
The GCF of 526,782 is 2 .
LCM of 970,354 is 171690.
The greatest common factor of 526/970,782/354 = [GCF of 526,782]/[LCM of 970,354]= 2/171690
Therefore, the GCF of 526/970,782/354 is 2/171690.
To find the highest common factor of 526,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 526 are 1, 2, 263, 526
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 526,782 is 2.
Lets's calculate GCF of 526,782
2 | 526, 782 |
263, 391 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 526
:1,2,263,526
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 526,782 . The biggest common factor number is the GCF number.
So the greatest common factor 526,782 is 2.
Lets's calculate LCM of 970,354
2 | 970, 354 |
485, 177 |
∴ So the LCM of the given numbers is 2 x 485 x 177 = 171690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171690
Therefore, the GCF of Fractions 526/970,782/354 is 2/171690
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 970,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,354) x common factors =2 x 1 = 2
LCM(970,354) = ( 970 × 354 ) / 2
LCM(970,354) = 343380 / 2
LCM(970,354) = 171690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 526,782?
The HCF of 526,782 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 526/970, 782/354?
Answer: GCF of Numerators as per given numbers 526/970, 782/354 is
GCF of Numerators i.e. for 526,782 is 2
LCM of denominators i.e. for 970,354 is 171690.
Thus, GCF of Fractions is 2/171690.Finally, GCF of Fractions for 526/970, 782/354 is 2/171690.