GCF of 3357/663, 7958/4080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3357/663, 7958/4080 i.e 1/53040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3357/663, 7958/4080.
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 3357/663,7958/4080?
Given fractions are 3357/663,7958/4080
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 3357/663,7958/4080, numerators are 3357,7958
Denominators are 663,4080
The GCF of 3357,7958 is 1 .
LCM of 663,4080 is 53040.
The greatest common factor of 3357/663,7958/4080 = [GCF of 3357,7958]/[LCM of 663,4080]= 1/53040
Therefore, the GCF of 3357/663,7958/4080 is 1/53040.
To find the highest common factor of 3357,7958, we have to find the factors of both numbers and list the highest common factor.
The factors of 3357 are 1, 3, 9, 373, 1119, 3357
The factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958
The HCF of 3357,7958 is 1.
Lets's calculate GCF of 3357,7958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3357,7958 By Matching Biggest Common Factor Method
Now, list down the factors of 3357
:1,3,9,373,1119,3357
Now, list down the factors of 7958
:1,2,23,46,173,346,3979,7958
Greatest Common Factor
We found the factors 3357,7958 . The biggest common factor number is the GCF number.
So the greatest common factor 3357,7958 is 1.
Lets's calculate LCM of 663,4080
| 3 | 663, 4080 |
| 17 | 221, 1360 |
| 13, 80 |
∴ So the LCM of the given numbers is 3 x 17 x 13 x 80 = 53040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53040
Therefore, the GCF of Fractions 3357/663,7958/4080 is 1/53040
Least Common Multiple of 663,4080 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 663,4080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,4080) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(663,4080) x common factors =51 x 1 = 51
LCM(663,4080) = ( 663 × 4080 ) / 51
LCM(663,4080) = 2705040 / 51
LCM(663,4080) = 53040
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FAQs on GCF of Fractions of 3357/663, 7958/4080
1. What is the HCF of 3357,7958?
The HCF of 3357,7958 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 3357/663, 7958/4080?
Answer: GCF of Numerators as per given numbers 3357/663, 7958/4080 is
GCF of Numerators i.e. for 3357,7958 is 1
LCM of denominators i.e. for 663,4080 is 53040.
Thus, GCF of Fractions is 1/53040.Finally, GCF of Fractions for 3357/663, 7958/4080 is 1/53040.