Use our free GCF of Fractions Calculator tool to compute the GCF of 9749/278, 1050/4538 i.e 1/630782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9749/278, 1050/4538.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9749/278,1050/4538
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 9749/278,1050/4538, numerators are 9749,1050
Denominators are 278,4538
The GCF of 9749,1050 is 1 .
LCM of 278,4538 is 630782.
The greatest common factor of 9749/278,1050/4538 = [GCF of 9749,1050]/[LCM of 278,4538]= 1/630782
Therefore, the GCF of 9749/278,1050/4538 is 1/630782.
To find the highest common factor of 9749,1050, we have to find the factors of both numbers and list the highest common factor.
The factors of 9749 are 1, 9749
The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050
The HCF of 9749,1050 is 1.
Lets's calculate GCF of 9749,1050
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9749
:1,9749
Now, list down the factors of 1050
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050
Greatest Common Factor
We found the factors 9749,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 9749,1050 is 1.
Lets's calculate LCM of 278,4538
2 | 278, 4538 |
139, 2269 |
∴ So the LCM of the given numbers is 2 x 139 x 2269 = 630782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630782
Therefore, the GCF of Fractions 9749/278,1050/4538 is 1/630782
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 278,4538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,4538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,4538) x common factors =2 x 1 = 2
LCM(278,4538) = ( 278 × 4538 ) / 2
LCM(278,4538) = 1261564 / 2
LCM(278,4538) = 630782
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9749,1050?
The HCF of 9749,1050 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 9749/278, 1050/4538?
Answer: GCF of Numerators as per given numbers 9749/278, 1050/4538 is
GCF of Numerators i.e. for 9749,1050 is 1
LCM of denominators i.e. for 278,4538 is 630782.
Thus, GCF of Fractions is 1/630782.Finally, GCF of Fractions for 9749/278, 1050/4538 is 1/630782.