Use our free GCF of Fractions Calculator tool to compute the GCF of 768/429, 251/538 i.e 1/230802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/429, 251/538.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 768/429,251/538
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 768/429,251/538, numerators are 768,251
Denominators are 429,538
The GCF of 768,251 is 1 .
LCM of 429,538 is 230802.
The greatest common factor of 768/429,251/538 = [GCF of 768,251]/[LCM of 429,538]= 1/230802
Therefore, the GCF of 768/429,251/538 is 1/230802.
To find the highest common factor of 768,251, we have to find the factors of both numbers and list the highest common factor.
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 251 are 1, 251
The HCF of 768,251 is 1.
Lets's calculate GCF of 768,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 251
:1,251
Greatest Common Factor
We found the factors 768,251 . The biggest common factor number is the GCF number.
So the greatest common factor 768,251 is 1.
Lets's calculate LCM of 429,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 230802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230802
Therefore, the GCF of Fractions 768/429,251/538 is 1/230802
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 429,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,538) x common factors =1 x 1 = 1
LCM(429,538) = ( 429 × 538 ) / 1
LCM(429,538) = 230802 / 1
LCM(429,538) = 230802
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 768,251?
The HCF of 768,251 is 1
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 768/429, 251/538?
Answer: GCF of Numerators as per given numbers 768/429, 251/538 is
GCF of Numerators i.e. for 768,251 is 1
LCM of denominators i.e. for 429,538 is 230802.
Thus, GCF of Fractions is 1/230802.Finally, GCF of Fractions for 768/429, 251/538 is 1/230802.