Use our free GCF of Fractions Calculator tool to compute the GCF of 46/349, 476/668, 166/278 i.e 2/32405348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/349, 476/668, 166/278.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/349,476/668,166/278
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 46/349,476/668,166/278, numerators are 46,476,166
Denominators are 349,668,278
The GCF of 46,476,166 is 2 .
LCM of 349,668,278 is 32405348.
The greatest common factor of 46/349,476/668,166/278 = [GCF of 46,476,166]/[LCM of 349,668,278]= 2/32405348
Therefore, the GCF of 46/349,476/668,166/278 is 2/32405348.
To find the highest common factor of 46,476,166, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The factors of 166 are 1, 2, 83, 166
The HCF of 46,476,166 is 2.
Lets's calculate GCF of 46,476,166
2 | 46, 476, 166 |
23, 238, 83 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Now, list down the factors of 166
:1,2,83,166
Greatest Common Factor
We found the factors 46,476,166 . The biggest common factor number is the GCF number.
So the greatest common factor 46,476,166 is 2.
Lets's calculate LCM of 349,668,278
2 | 349, 668, 278 |
349, 334, 139 |
∴ So the LCM of the given numbers is 2 x 349 x 334 x 139 = 32405348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32405348
Therefore, the GCF of Fractions 46/349,476/668,166/278 is 2/32405348
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 349,668,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,668,278) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(349,668,278) x common factors =1 x 2 = 2
LCM(349,668,278) = ( 349 × 668 × 278 ) / 2
LCM(349,668,278) = 64810696 / 2
LCM(349,668,278) = 32405348
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,476,166?
The HCF of 46,476,166 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 46/349, 476/668, 166/278?
Answer: GCF of Numerators as per given numbers 46/349, 476/668, 166/278 is
GCF of Numerators i.e. for 46,476,166 is 2
LCM of denominators i.e. for 349,668,278 is 32405348.
Thus, GCF of Fractions is 2/32405348.Finally, GCF of Fractions for 46/349, 476/668, 166/278 is 2/32405348.