Use our free GCF of Fractions Calculator tool to compute the GCF of 6251/577, 4772/7686 i.e 1/4434822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6251/577, 4772/7686.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6251/577,4772/7686
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 6251/577,4772/7686, numerators are 6251,4772
Denominators are 577,7686
The GCF of 6251,4772 is 1 .
LCM of 577,7686 is 4434822.
The greatest common factor of 6251/577,4772/7686 = [GCF of 6251,4772]/[LCM of 577,7686]= 1/4434822
Therefore, the GCF of 6251/577,4772/7686 is 1/4434822.
To find the highest common factor of 6251,4772, we have to find the factors of both numbers and list the highest common factor.
The factors of 6251 are 1, 7, 19, 47, 133, 329, 893, 6251
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The HCF of 6251,4772 is 1.
Lets's calculate GCF of 6251,4772
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6251
:1,7,19,47,133,329,893,6251
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Greatest Common Factor
We found the factors 6251,4772 . The biggest common factor number is the GCF number.
So the greatest common factor 6251,4772 is 1.
Lets's calculate LCM of 577,7686
Given numbers has no common factors except 1. So, there LCM is their product i.e 4434822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4434822
Therefore, the GCF of Fractions 6251/577,4772/7686 is 1/4434822
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 577,7686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,7686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,7686) x common factors =1 x 1 = 1
LCM(577,7686) = ( 577 × 7686 ) / 1
LCM(577,7686) = 4434822 / 1
LCM(577,7686) = 4434822
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6251,4772?
The HCF of 6251,4772 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 6251/577, 4772/7686?
Answer: GCF of Numerators as per given numbers 6251/577, 4772/7686 is
GCF of Numerators i.e. for 6251,4772 is 1
LCM of denominators i.e. for 577,7686 is 4434822.
Thus, GCF of Fractions is 1/4434822.Finally, GCF of Fractions for 6251/577, 4772/7686 is 1/4434822.