GCF of 367/155, 3392/685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 367/155, 3392/685 i.e 1/21235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 367/155, 3392/685.
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 367/155,3392/685?
Given fractions are 367/155,3392/685
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 367/155,3392/685, numerators are 367,3392
Denominators are 155,685
The GCF of 367,3392 is 1 .
LCM of 155,685 is 21235.
The greatest common factor of 367/155,3392/685 = [GCF of 367,3392]/[LCM of 155,685]= 1/21235
Therefore, the GCF of 367/155,3392/685 is 1/21235.
To find the highest common factor of 367,3392, we have to find the factors of both numbers and list the highest common factor.
The factors of 367 are 1, 367
The factors of 3392 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392
The HCF of 367,3392 is 1.
Lets's calculate GCF of 367,3392
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 367,3392 By Matching Biggest Common Factor Method
Now, list down the factors of 367
:1,367
Now, list down the factors of 3392
:1,2,4,8,16,32,53,64,106,212,424,848,1696,3392
Greatest Common Factor
We found the factors 367,3392 . The biggest common factor number is the GCF number.
So the greatest common factor 367,3392 is 1.
Lets's calculate LCM of 155,685
| 5 | 155, 685 |
| 31, 137 |
∴ So the LCM of the given numbers is 5 x 31 x 137 = 21235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21235
Therefore, the GCF of Fractions 367/155,3392/685 is 1/21235
Least Common Multiple of 155,685 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 155,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,685) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(155,685) x common factors =5 x 1 = 5
LCM(155,685) = ( 155 × 685 ) / 5
LCM(155,685) = 106175 / 5
LCM(155,685) = 21235
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FAQs on GCF of Fractions of 367/155, 3392/685
1. What is the HCF of 367,3392?
The HCF of 367,3392 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 367/155, 3392/685?
Answer: GCF of Numerators as per given numbers 367/155, 3392/685 is
GCF of Numerators i.e. for 367,3392 is 1
LCM of denominators i.e. for 155,685 is 21235.
Thus, GCF of Fractions is 1/21235.Finally, GCF of Fractions for 367/155, 3392/685 is 1/21235.