Use our free GCF of Fractions Calculator tool to compute the GCF of 772/254, 308/203 i.e 4/51562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 772/254, 308/203.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/254,308/203
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 772/254,308/203, numerators are 772,308
Denominators are 254,203
The GCF of 772,308 is 4 .
LCM of 254,203 is 51562.
The greatest common factor of 772/254,308/203 = [GCF of 772,308]/[LCM of 254,203]= 4/51562
Therefore, the GCF of 772/254,308/203 is 4/51562.
To find the highest common factor of 772,308, we have to find the factors of both numbers and list the highest common factor.
The factors of 772 are 1, 2, 4, 193, 386, 772
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 772,308 is 4.
Lets's calculate GCF of 772,308
2 | 772, 308 |
2 | 386, 154 |
193, 77 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 772
:1,2,4,193,386,772
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 772,308 . The biggest common factor number is the GCF number.
So the greatest common factor 772,308 is 4.
Lets's calculate LCM of 254,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 51562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/51562
Therefore, the GCF of Fractions 772/254,308/203 is 4/51562
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 254,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,203) x common factors =1 x 1 = 1
LCM(254,203) = ( 254 × 203 ) / 1
LCM(254,203) = 51562 / 1
LCM(254,203) = 51562
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 772,308?
The HCF of 772,308 is 4
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 772/254, 308/203?
Answer: GCF of Numerators as per given numbers 772/254, 308/203 is
GCF of Numerators i.e. for 772,308 is 4
LCM of denominators i.e. for 254,203 is 51562.
Thus, GCF of Fractions is 4/51562.Finally, GCF of Fractions for 772/254, 308/203 is 4/51562.