Use our free GCF of Fractions Calculator tool to compute the GCF of 770/354, 538/425 i.e 2/150450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/354, 538/425.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/354,538/425
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 770/354,538/425, numerators are 770,538
Denominators are 354,425
The GCF of 770,538 is 2 .
LCM of 354,425 is 150450.
The greatest common factor of 770/354,538/425 = [GCF of 770,538]/[LCM of 354,425]= 2/150450
Therefore, the GCF of 770/354,538/425 is 2/150450.
To find the highest common factor of 770,538, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 538 are 1, 2, 269, 538
The HCF of 770,538 is 2.
Lets's calculate GCF of 770,538
2 | 770, 538 |
385, 269 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 770,538 . The biggest common factor number is the GCF number.
So the greatest common factor 770,538 is 2.
Lets's calculate LCM of 354,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 150450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150450
Therefore, the GCF of Fractions 770/354,538/425 is 2/150450
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 354,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,425) x common factors =1 x 1 = 1
LCM(354,425) = ( 354 × 425 ) / 1
LCM(354,425) = 150450 / 1
LCM(354,425) = 150450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 770,538?
The HCF of 770,538 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 770/354, 538/425?
Answer: GCF of Numerators as per given numbers 770/354, 538/425 is
GCF of Numerators i.e. for 770,538 is 2
LCM of denominators i.e. for 354,425 is 150450.
Thus, GCF of Fractions is 2/150450.Finally, GCF of Fractions for 770/354, 538/425 is 2/150450.