GCF of 4296/968, 6747/155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4296/968, 6747/155 i.e 3/150040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4296/968, 6747/155.
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 4296/968,6747/155?
Given fractions are 4296/968,6747/155
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 4296/968,6747/155, numerators are 4296,6747
Denominators are 968,155
The GCF of 4296,6747 is 3 .
LCM of 968,155 is 150040.
The greatest common factor of 4296/968,6747/155 = [GCF of 4296,6747]/[LCM of 968,155]= 3/150040
Therefore, the GCF of 4296/968,6747/155 is 3/150040.
To find the highest common factor of 4296,6747, we have to find the factors of both numbers and list the highest common factor.
The factors of 4296 are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296
The factors of 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747
The HCF of 4296,6747 is 3.
Lets's calculate GCF of 4296,6747
| 3 | 4296, 6747 |
| 1432, 2249 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4296,6747 By Matching Biggest Common Factor Method
Now, list down the factors of 4296
:1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296
Now, list down the factors of 6747
:1,3,13,39,173,519,2249,6747
Greatest Common Factor
We found the factors 4296,6747 . The biggest common factor number is the GCF number.
So the greatest common factor 4296,6747 is 3.
Lets's calculate LCM of 968,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 150040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/150040
Therefore, the GCF of Fractions 4296/968,6747/155 is 3/150040
Least Common Multiple of 968,155 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 968,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,155) x common factors =1 x 1 = 1
LCM(968,155) = ( 968 × 155 ) / 1
LCM(968,155) = 150040 / 1
LCM(968,155) = 150040
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FAQs on GCF of Fractions of 4296/968, 6747/155
1. What is the HCF of 4296,6747?
The HCF of 4296,6747 is 3
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 4296/968, 6747/155?
Answer: GCF of Numerators as per given numbers 4296/968, 6747/155 is
GCF of Numerators i.e. for 4296,6747 is 3
LCM of denominators i.e. for 968,155 is 150040.
Thus, GCF of Fractions is 3/150040.Finally, GCF of Fractions for 4296/968, 6747/155 is 3/150040.