Use our free GCF of Fractions Calculator tool to compute the GCF of 672/606, 277/134 i.e 1/40602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/606, 277/134.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 672/606,277/134
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 672/606,277/134, numerators are 672,277
Denominators are 606,134
The GCF of 672,277 is 1 .
LCM of 606,134 is 40602.
The greatest common factor of 672/606,277/134 = [GCF of 672,277]/[LCM of 606,134]= 1/40602
Therefore, the GCF of 672/606,277/134 is 1/40602.
To find the highest common factor of 672,277, 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 277 are 1, 277
The HCF of 672,277 is 1.
Lets's calculate GCF of 672,277
∴ So GCF of numbers is 1 because of no common factors present between them.
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 277
:1,277
Greatest Common Factor
We found the factors 672,277 . The biggest common factor number is the GCF number.
So the greatest common factor 672,277 is 1.
Lets's calculate LCM of 606,134
2 | 606, 134 |
303, 67 |
∴ So the LCM of the given numbers is 2 x 303 x 67 = 40602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40602
Therefore, the GCF of Fractions 672/606,277/134 is 1/40602
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 606,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,134) x common factors =2 x 1 = 2
LCM(606,134) = ( 606 × 134 ) / 2
LCM(606,134) = 81204 / 2
LCM(606,134) = 40602
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 672,277?
The HCF of 672,277 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 672/606, 277/134?
Answer: GCF of Numerators as per given numbers 672/606, 277/134 is
GCF of Numerators i.e. for 672,277 is 1
LCM of denominators i.e. for 606,134 is 40602.
Thus, GCF of Fractions is 1/40602.Finally, GCF of Fractions for 672/606, 277/134 is 1/40602.