Use our free GCF of Fractions Calculator tool to compute the GCF of 3/28, 70/40, 96/607, 997/236 i.e 1/10027640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/28, 70/40, 96/607, 997/236.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/28,70/40,96/607,997/236
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 3/28,70/40,96/607,997/236, numerators are 3,70,96,997
Denominators are 28,40,607,236
The GCF of 3,70,96,997 is 1 .
LCM of 28,40,607,236 is 10027640.
The greatest common factor of 3/28,70/40,96/607,997/236 = [GCF of 3,70,96,997]/[LCM of 28,40,607,236]= 1/10027640
Therefore, the GCF of 3/28,70/40,96/607,997/236 is 1/10027640.
To find the highest common factor of 3,70,96,997, 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 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 997 are 1, 997
The HCF of 3,70,96,997 is 1.
Lets's calculate GCF of 3,70,96,997
∴ 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 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 997
:1,997
Greatest Common Factor
We found the factors 3,70,96,997 . The biggest common factor number is the GCF number.
So the greatest common factor 3,70,96,997 is 1.
Lets's calculate LCM of 28,40,607,236
2 | 28, 40, 607, 236 |
2 | 14, 20, 607, 118 |
7, 10, 607, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 10 x 607 x 59 = 10027640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10027640
Therefore, the GCF of Fractions 3/28,70/40,96/607,997/236 is 1/10027640
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 28,40,607,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,40,607,236) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(28,40,607,236) x common factors =1 x 16 = 16
LCM(28,40,607,236) = ( 28 × 40 × 607 × 236 ) / 16
LCM(28,40,607,236) = 160442240 / 16
LCM(28,40,607,236) = 10027640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,70,96,997?
The HCF of 3,70,96,997 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 3/28, 70/40, 96/607, 997/236?
Answer: GCF of Numerators as per given numbers 3/28, 70/40, 96/607, 997/236 is
GCF of Numerators i.e. for 3,70,96,997 is 1
LCM of denominators i.e. for 28,40,607,236 is 10027640.
Thus, GCF of Fractions is 1/10027640.Finally, GCF of Fractions for 3/28, 70/40, 96/607, 997/236 is 1/10027640.