Use our free GCF of Fractions Calculator tool to compute the GCF of 912/290, 836/452 i.e 76/65540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/290, 836/452.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/290,836/452
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 912/290,836/452, numerators are 912,836
Denominators are 290,452
The GCF of 912,836 is 76 .
LCM of 290,452 is 65540.
The greatest common factor of 912/290,836/452 = [GCF of 912,836]/[LCM of 290,452]= 76/65540
Therefore, the GCF of 912/290,836/452 is 76/65540.
To find the highest common factor of 912,836, we have to find the factors of both numbers and list the highest common factor.
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The HCF of 912,836 is 76.
Lets's calculate GCF of 912,836
2 | 912, 836 |
2 | 456, 418 |
19 | 228, 209 |
12, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 912,836 . The biggest common factor number is the GCF number.
So the greatest common factor 912,836 is 76.
Lets's calculate LCM of 290,452
2 | 290, 452 |
145, 226 |
∴ So the LCM of the given numbers is 2 x 145 x 226 = 65540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/65540
Therefore, the GCF of Fractions 912/290,836/452 is 76/65540
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 290,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,452) x common factors =2 x 1 = 2
LCM(290,452) = ( 290 × 452 ) / 2
LCM(290,452) = 131080 / 2
LCM(290,452) = 65540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 912,836?
The HCF of 912,836 is 76
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 912/290, 836/452?
Answer: GCF of Numerators as per given numbers 912/290, 836/452 is
GCF of Numerators i.e. for 912,836 is 76
LCM of denominators i.e. for 290,452 is 65540.
Thus, GCF of Fractions is 76/65540.Finally, GCF of Fractions for 912/290, 836/452 is 76/65540.