Use our free GCF of Fractions Calculator tool to compute the GCF of 4704/249, 5425/4971 i.e 7/412593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4704/249, 5425/4971.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4704/249,5425/4971
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 4704/249,5425/4971, numerators are 4704,5425
Denominators are 249,4971
The GCF of 4704,5425 is 7 .
LCM of 249,4971 is 412593.
The greatest common factor of 4704/249,5425/4971 = [GCF of 4704,5425]/[LCM of 249,4971]= 7/412593
Therefore, the GCF of 4704/249,5425/4971 is 7/412593.
To find the highest common factor of 4704,5425, we have to find the factors of both numbers and list the highest common factor.
The factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704
The factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425
The HCF of 4704,5425 is 7.
Lets's calculate GCF of 4704,5425
7 | 4704, 5425 |
672, 775 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 4704
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Now, list down the factors of 5425
:1,5,7,25,31,35,155,175,217,775,1085,5425
Greatest Common Factor
We found the factors 4704,5425 . The biggest common factor number is the GCF number.
So the greatest common factor 4704,5425 is 7.
Lets's calculate LCM of 249,4971
3 | 249, 4971 |
83, 1657 |
∴ So the LCM of the given numbers is 3 x 83 x 1657 = 412593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/412593
Therefore, the GCF of Fractions 4704/249,5425/4971 is 7/412593
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 249,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,4971) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,4971) x common factors =3 x 1 = 3
LCM(249,4971) = ( 249 × 4971 ) / 3
LCM(249,4971) = 1237779 / 3
LCM(249,4971) = 412593
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4704,5425?
The HCF of 4704,5425 is 7
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 4704/249, 5425/4971?
Answer: GCF of Numerators as per given numbers 4704/249, 5425/4971 is
GCF of Numerators i.e. for 4704,5425 is 7
LCM of denominators i.e. for 249,4971 is 412593.
Thus, GCF of Fractions is 7/412593.Finally, GCF of Fractions for 4704/249, 5425/4971 is 7/412593.