Use our free GCF of Fractions Calculator tool to compute the GCF of 3/67, 68/35, 98/616, 510/246 i.e 1/25382280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/67, 68/35, 98/616, 510/246.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/67,68/35,98/616,510/246
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 3/67,68/35,98/616,510/246, numerators are 3,68,98,510
Denominators are 67,35,616,246
The GCF of 3,68,98,510 is 1 .
LCM of 67,35,616,246 is 25382280.
The greatest common factor of 3/67,68/35,98/616,510/246 = [GCF of 3,68,98,510]/[LCM of 67,35,616,246]= 1/25382280
Therefore, the GCF of 3/67,68/35,98/616,510/246 is 1/25382280.
To find the highest common factor of 3,68,98,510, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 3,68,98,510 is 1.
Lets's calculate GCF of 3,68,98,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3
:1,3
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 3,68,98,510 . The biggest common factor number is the GCF number.
So the greatest common factor 3,68,98,510 is 1.
Lets's calculate LCM of 67,35,616,246
2 | 67, 35, 616, 246 |
7 | 67, 35, 308, 123 |
67, 5, 44, 123 |
∴ So the LCM of the given numbers is 2 x 7 x 67 x 5 x 44 x 123 = 25382280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25382280
Therefore, the GCF of Fractions 3/67,68/35,98/616,510/246 is 1/25382280
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 67,35,616,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,35,616,246) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(67,35,616,246) x common factors =1 x 14 = 14
LCM(67,35,616,246) = ( 67 × 35 × 616 × 246 ) / 14
LCM(67,35,616,246) = 355351920 / 14
LCM(67,35,616,246) = 25382280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,68,98,510?
The HCF of 3,68,98,510 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 3/67, 68/35, 98/616, 510/246?
Answer: GCF of Numerators as per given numbers 3/67, 68/35, 98/616, 510/246 is
GCF of Numerators i.e. for 3,68,98,510 is 1
LCM of denominators i.e. for 67,35,616,246 is 25382280.
Thus, GCF of Fractions is 1/25382280.Finally, GCF of Fractions for 3/67, 68/35, 98/616, 510/246 is 1/25382280.