Use our free GCF of Fractions Calculator tool to compute the GCF of 9780/811, 2249/9740 i.e 1/7899140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9780/811, 2249/9740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9780/811,2249/9740
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 9780/811,2249/9740, numerators are 9780,2249
Denominators are 811,9740
The GCF of 9780,2249 is 1 .
LCM of 811,9740 is 7899140.
The greatest common factor of 9780/811,2249/9740 = [GCF of 9780,2249]/[LCM of 811,9740]= 1/7899140
Therefore, the GCF of 9780/811,2249/9740 is 1/7899140.
To find the highest common factor of 9780,2249, we have to find the factors of both numbers and list the highest common factor.
The factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780
The factors of 2249 are 1, 13, 173, 2249
The HCF of 9780,2249 is 1.
Lets's calculate GCF of 9780,2249
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9780
:1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780
Now, list down the factors of 2249
:1,13,173,2249
Greatest Common Factor
We found the factors 9780,2249 . The biggest common factor number is the GCF number.
So the greatest common factor 9780,2249 is 1.
Lets's calculate LCM of 811,9740
Given numbers has no common factors except 1. So, there LCM is their product i.e 7899140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7899140
Therefore, the GCF of Fractions 9780/811,2249/9740 is 1/7899140
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 811,9740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,9740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,9740) x common factors =1 x 1 = 1
LCM(811,9740) = ( 811 × 9740 ) / 1
LCM(811,9740) = 7899140 / 1
LCM(811,9740) = 7899140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9780,2249?
The HCF of 9780,2249 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 9780/811, 2249/9740?
Answer: GCF of Numerators as per given numbers 9780/811, 2249/9740 is
GCF of Numerators i.e. for 9780,2249 is 1
LCM of denominators i.e. for 811,9740 is 7899140.
Thus, GCF of Fractions is 1/7899140.Finally, GCF of Fractions for 9780/811, 2249/9740 is 1/7899140.