Use our free GCF of Fractions Calculator tool to compute the GCF of 532/667, 278/785 i.e 2/523595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/667, 278/785.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/667,278/785
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 532/667,278/785, numerators are 532,278
Denominators are 667,785
The GCF of 532,278 is 2 .
LCM of 667,785 is 523595.
The greatest common factor of 532/667,278/785 = [GCF of 532,278]/[LCM of 667,785]= 2/523595
Therefore, the GCF of 532/667,278/785 is 2/523595.
To find the highest common factor of 532,278, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 278 are 1, 2, 139, 278
The HCF of 532,278 is 2.
Lets's calculate GCF of 532,278
2 | 532, 278 |
266, 139 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 278
:1,2,139,278
Greatest Common Factor
We found the factors 532,278 . The biggest common factor number is the GCF number.
So the greatest common factor 532,278 is 2.
Lets's calculate LCM of 667,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 523595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/523595
Therefore, the GCF of Fractions 532/667,278/785 is 2/523595
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 667,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,785) x common factors =1 x 1 = 1
LCM(667,785) = ( 667 × 785 ) / 1
LCM(667,785) = 523595 / 1
LCM(667,785) = 523595
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 532,278?
The HCF of 532,278 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 532/667, 278/785?
Answer: GCF of Numerators as per given numbers 532/667, 278/785 is
GCF of Numerators i.e. for 532,278 is 2
LCM of denominators i.e. for 667,785 is 523595.
Thus, GCF of Fractions is 2/523595.Finally, GCF of Fractions for 532/667, 278/785 is 2/523595.