GCF of 1223/376, 3637/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1223/376, 3637/235 i.e 1/1880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1223/376, 3637/235.
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 1223/376,3637/235?
Given fractions are 1223/376,3637/235
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 1223/376,3637/235, numerators are 1223,3637
Denominators are 376,235
The GCF of 1223,3637 is 1 .
LCM of 376,235 is 1880.
The greatest common factor of 1223/376,3637/235 = [GCF of 1223,3637]/[LCM of 376,235]= 1/1880
Therefore, the GCF of 1223/376,3637/235 is 1/1880.
To find the highest common factor of 1223,3637, we have to find the factors of both numbers and list the highest common factor.
The factors of 1223 are 1, 1223
The factors of 3637 are 1, 3637
The HCF of 1223,3637 is 1.
Lets's calculate GCF of 1223,3637
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1223,3637 By Matching Biggest Common Factor Method
Now, list down the factors of 1223
:1,1223
Now, list down the factors of 3637
:1,3637
Greatest Common Factor
We found the factors 1223,3637 . The biggest common factor number is the GCF number.
So the greatest common factor 1223,3637 is 1.
Lets's calculate LCM of 376,235
| 47 | 376, 235 |
| 8, 5 |
∴ So the LCM of the given numbers is 47 x 8 x 5 = 1880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1880
Therefore, the GCF of Fractions 1223/376,3637/235 is 1/1880
Least Common Multiple of 376,235 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 376,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,235) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(376,235) x common factors =47 x 1 = 47
LCM(376,235) = ( 376 × 235 ) / 47
LCM(376,235) = 88360 / 47
LCM(376,235) = 1880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1223/376, 3637/235
1. What is the HCF of 1223,3637?
The HCF of 1223,3637 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 1223/376, 3637/235?
Answer: GCF of Numerators as per given numbers 1223/376, 3637/235 is
GCF of Numerators i.e. for 1223,3637 is 1
LCM of denominators i.e. for 376,235 is 1880.
Thus, GCF of Fractions is 1/1880.Finally, GCF of Fractions for 1223/376, 3637/235 is 1/1880.