Use our free GCF of Fractions Calculator tool to compute the GCF of 4904/954, 1912/707 i.e 8/674478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4904/954, 1912/707.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4904/954,1912/707
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 4904/954,1912/707, numerators are 4904,1912
Denominators are 954,707
The GCF of 4904,1912 is 8 .
LCM of 954,707 is 674478.
The greatest common factor of 4904/954,1912/707 = [GCF of 4904,1912]/[LCM of 954,707]= 8/674478
Therefore, the GCF of 4904/954,1912/707 is 8/674478.
To find the highest common factor of 4904,1912, we have to find the factors of both numbers and list the highest common factor.
The factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904
The factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912
The HCF of 4904,1912 is 8.
Lets's calculate GCF of 4904,1912
2 | 4904, 1912 |
2 | 2452, 956 |
2 | 1226, 478 |
613, 239 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 4904
:1,2,4,8,613,1226,2452,4904
Now, list down the factors of 1912
:1,2,4,8,239,478,956,1912
Greatest Common Factor
We found the factors 4904,1912 . The biggest common factor number is the GCF number.
So the greatest common factor 4904,1912 is 8.
Lets's calculate LCM of 954,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 674478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/674478
Therefore, the GCF of Fractions 4904/954,1912/707 is 8/674478
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 954,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(954,707) x common factors =1 x 1 = 1
LCM(954,707) = ( 954 × 707 ) / 1
LCM(954,707) = 674478 / 1
LCM(954,707) = 674478
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4904,1912?
The HCF of 4904,1912 is 8
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 4904/954, 1912/707?
Answer: GCF of Numerators as per given numbers 4904/954, 1912/707 is
GCF of Numerators i.e. for 4904,1912 is 8
LCM of denominators i.e. for 954,707 is 674478.
Thus, GCF of Fractions is 8/674478.Finally, GCF of Fractions for 4904/954, 1912/707 is 8/674478.