Use our free GCF of Fractions Calculator tool to compute the GCF of 672/286, 928/884 i.e 32/9724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/286, 928/884.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 672/286,928/884
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 672/286,928/884, numerators are 672,928
Denominators are 286,884
The GCF of 672,928 is 32 .
LCM of 286,884 is 9724.
The greatest common factor of 672/286,928/884 = [GCF of 672,928]/[LCM of 286,884]= 32/9724
Therefore, the GCF of 672/286,928/884 is 32/9724.
To find the highest common factor of 672,928, we have to find the factors of both numbers and list the highest common factor.
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The HCF of 672,928 is 32.
Lets's calculate GCF of 672,928
2 | 672, 928 |
2 | 336, 464 |
2 | 168, 232 |
2 | 84, 116 |
2 | 42, 58 |
21, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 672,928 . The biggest common factor number is the GCF number.
So the greatest common factor 672,928 is 32.
Lets's calculate LCM of 286,884
2 | 286, 884 |
13 | 143, 442 |
11, 34 |
∴ So the LCM of the given numbers is 2 x 13 x 11 x 34 = 9724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/9724
Therefore, the GCF of Fractions 672/286,928/884 is 32/9724
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 286,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,884) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(286,884) x common factors =26 x 1 = 26
LCM(286,884) = ( 286 × 884 ) / 26
LCM(286,884) = 252824 / 26
LCM(286,884) = 9724
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 672,928?
The HCF of 672,928 is 32
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 672/286, 928/884?
Answer: GCF of Numerators as per given numbers 672/286, 928/884 is
GCF of Numerators i.e. for 672,928 is 32
LCM of denominators i.e. for 286,884 is 9724.
Thus, GCF of Fractions is 32/9724.Finally, GCF of Fractions for 672/286, 928/884 is 32/9724.