GCF of 6968/659, 4170/5952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6968/659, 4170/5952 i.e 2/3922368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6968/659, 4170/5952.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6968/659,4170/5952?
Given fractions are 6968/659,4170/5952
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 6968/659,4170/5952, numerators are 6968,4170
Denominators are 659,5952
The GCF of 6968,4170 is 2 .
LCM of 659,5952 is 3922368.
The greatest common factor of 6968/659,4170/5952 = [GCF of 6968,4170]/[LCM of 659,5952]= 2/3922368
Therefore, the GCF of 6968/659,4170/5952 is 2/3922368.
To find the highest common factor of 6968,4170, we have to find the factors of both numbers and list the highest common factor.
The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
The HCF of 6968,4170 is 2.
Lets's calculate GCF of 6968,4170
| 2 | 6968, 4170 |
| 3484, 2085 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6968,4170 By Matching Biggest Common Factor Method
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Now, list down the factors of 4170
:1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 6968,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,4170 is 2.
Lets's calculate LCM of 659,5952
Given numbers has no common factors except 1. So, there LCM is their product i.e 3922368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3922368
Therefore, the GCF of Fractions 6968/659,4170/5952 is 2/3922368
Least Common Multiple of 659,5952 with GCF Formula
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 659,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,5952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,5952) x common factors =1 x 1 = 1
LCM(659,5952) = ( 659 × 5952 ) / 1
LCM(659,5952) = 3922368 / 1
LCM(659,5952) = 3922368
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FAQs on GCF of Fractions of 6968/659, 4170/5952
1. What is the HCF of 6968,4170?
The HCF of 6968,4170 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 6968/659, 4170/5952?
Answer: GCF of Numerators as per given numbers 6968/659, 4170/5952 is
GCF of Numerators i.e. for 6968,4170 is 2
LCM of denominators i.e. for 659,5952 is 3922368.
Thus, GCF of Fractions is 2/3922368.Finally, GCF of Fractions for 6968/659, 4170/5952 is 2/3922368.