Use our free GCF of Fractions Calculator tool to compute the GCF of 89/28, 822/49, 672/434 i.e 1/6076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/28, 822/49, 672/434.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/28,822/49,672/434
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 89/28,822/49,672/434, numerators are 89,822,672
Denominators are 28,49,434
The GCF of 89,822,672 is 1 .
LCM of 28,49,434 is 6076.
The greatest common factor of 89/28,822/49,672/434 = [GCF of 89,822,672]/[LCM of 28,49,434]= 1/6076
Therefore, the GCF of 89/28,822/49,672/434 is 1/6076.
To find the highest common factor of 89,822,672, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
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 HCF of 89,822,672 is 1.
Lets's calculate GCF of 89,822,672
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 89
:1,89
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
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
Greatest Common Factor
We found the factors 89,822,672 . The biggest common factor number is the GCF number.
So the greatest common factor 89,822,672 is 1.
Lets's calculate LCM of 28,49,434
2 | 28, 49, 434 |
7 | 14, 49, 217 |
2, 7, 31 |
∴ So the LCM of the given numbers is 2 x 7 x 2 x 7 x 31 = 6076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6076
Therefore, the GCF of Fractions 89/28,822/49,672/434 is 1/6076
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 28,49,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,49,434) = 7
common factors(in case of two or more numbers have common factors) = 14
GCF(28,49,434) x common factors =7 x 14 = 98
LCM(28,49,434) = ( 28 × 49 × 434 ) / 98
LCM(28,49,434) = 595448 / 98
LCM(28,49,434) = 6076
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 89,822,672?
The HCF of 89,822,672 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 89/28, 822/49, 672/434?
Answer: GCF of Numerators as per given numbers 89/28, 822/49, 672/434 is
GCF of Numerators i.e. for 89,822,672 is 1
LCM of denominators i.e. for 28,49,434 is 6076.
Thus, GCF of Fractions is 1/6076.Finally, GCF of Fractions for 89/28, 822/49, 672/434 is 1/6076.