GCF of 368/84, 368/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 368/84, 368/852 i.e 368/5964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/84, 368/852.
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 368/84,368/852?
Given fractions are 368/84,368/852
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 368/84,368/852, numerators are 368,368
Denominators are 84,852
The GCF of 368,368 is 368 .
LCM of 84,852 is 5964.
The greatest common factor of 368/84,368/852 = [GCF of 368,368]/[LCM of 84,852]= 368/5964
Therefore, the GCF of 368/84,368/852 is 368/5964.
To find the highest common factor of 368,368, we have to find the factors of both numbers and list the highest common factor.
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The HCF of 368,368 is 368.
Lets's calculate GCF of 368,368
| 2 | 368, 368 |
| 2 | 184, 184 |
| 2 | 92, 92 |
| 2 | 46, 46 |
| 23 | 23, 23 |
| 1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 23 = 368
Greatest Common Factor of 368,368 By Matching Biggest Common Factor Method
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 368,368 . The biggest common factor number is the GCF number.
So the greatest common factor 368,368 is 368.
Lets's calculate LCM of 84,852
| 2 | 84, 852 |
| 2 | 42, 426 |
| 3 | 21, 213 |
| 7, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 71 = 5964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 368/5964
Therefore, the GCF of Fractions 368/84,368/852 is 368/5964
Least Common Multiple of 84,852 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 84,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,852) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(84,852) x common factors =12 x 1 = 12
LCM(84,852) = ( 84 × 852 ) / 12
LCM(84,852) = 71568 / 12
LCM(84,852) = 5964
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FAQs on GCF of Fractions of 368/84, 368/852
1. What is the HCF of 368,368?
The HCF of 368,368 is 368
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 368/84, 368/852?
Answer: GCF of Numerators as per given numbers 368/84, 368/852 is
GCF of Numerators i.e. for 368,368 is 368
LCM of denominators i.e. for 84,852 is 5964.
Thus, GCF of Fractions is 368/5964.Finally, GCF of Fractions for 368/84, 368/852 is 368/5964.