Use our free GCF of Fractions Calculator tool to compute the GCF of 94/836, 34/890, 924/503 i.e 2/187126060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/836, 34/890, 924/503.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/836,34/890,924/503
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 94/836,34/890,924/503, numerators are 94,34,924
Denominators are 836,890,503
The GCF of 94,34,924 is 2 .
LCM of 836,890,503 is 187126060.
The greatest common factor of 94/836,34/890,924/503 = [GCF of 94,34,924]/[LCM of 836,890,503]= 2/187126060
Therefore, the GCF of 94/836,34/890,924/503 is 2/187126060.
To find the highest common factor of 94,34,924, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 34 are 1, 2, 17, 34
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The HCF of 94,34,924 is 2.
Lets's calculate GCF of 94,34,924
2 | 94, 34, 924 |
47, 17, 462 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 94,34,924 . The biggest common factor number is the GCF number.
So the greatest common factor 94,34,924 is 2.
Lets's calculate LCM of 836,890,503
2 | 836, 890, 503 |
418, 445, 503 |
∴ So the LCM of the given numbers is 2 x 418 x 445 x 503 = 187126060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187126060
Therefore, the GCF of Fractions 94/836,34/890,924/503 is 2/187126060
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 836,890,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,890,503) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(836,890,503) x common factors =1 x 2 = 2
LCM(836,890,503) = ( 836 × 890 × 503 ) / 2
LCM(836,890,503) = 374252120 / 2
LCM(836,890,503) = 187126060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,34,924?
The HCF of 94,34,924 is 2
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 94/836, 34/890, 924/503?
Answer: GCF of Numerators as per given numbers 94/836, 34/890, 924/503 is
GCF of Numerators i.e. for 94,34,924 is 2
LCM of denominators i.e. for 836,890,503 is 187126060.
Thus, GCF of Fractions is 2/187126060.Finally, GCF of Fractions for 94/836, 34/890, 924/503 is 2/187126060.