GCF of 4364/362, 6123/266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4364/362, 6123/266 i.e 1/48146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4364/362, 6123/266.
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 4364/362,6123/266?
Given fractions are 4364/362,6123/266
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 4364/362,6123/266, numerators are 4364,6123
Denominators are 362,266
The GCF of 4364,6123 is 1 .
LCM of 362,266 is 48146.
The greatest common factor of 4364/362,6123/266 = [GCF of 4364,6123]/[LCM of 362,266]= 1/48146
Therefore, the GCF of 4364/362,6123/266 is 1/48146.
To find the highest common factor of 4364,6123, we have to find the factors of both numbers and list the highest common factor.
The factors of 4364 are 1, 2, 4, 1091, 2182, 4364
The factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123
The HCF of 4364,6123 is 1.
Lets's calculate GCF of 4364,6123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4364,6123 By Matching Biggest Common Factor Method
Now, list down the factors of 4364
:1,2,4,1091,2182,4364
Now, list down the factors of 6123
:1,3,13,39,157,471,2041,6123
Greatest Common Factor
We found the factors 4364,6123 . The biggest common factor number is the GCF number.
So the greatest common factor 4364,6123 is 1.
Lets's calculate LCM of 362,266
| 2 | 362, 266 |
| 181, 133 |
∴ So the LCM of the given numbers is 2 x 181 x 133 = 48146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48146
Therefore, the GCF of Fractions 4364/362,6123/266 is 1/48146
Least Common Multiple of 362,266 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 362,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,266) x common factors =2 x 1 = 2
LCM(362,266) = ( 362 × 266 ) / 2
LCM(362,266) = 96292 / 2
LCM(362,266) = 48146
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FAQs on GCF of Fractions of 4364/362, 6123/266
1. What is the HCF of 4364,6123?
The HCF of 4364,6123 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 4364/362, 6123/266?
Answer: GCF of Numerators as per given numbers 4364/362, 6123/266 is
GCF of Numerators i.e. for 4364,6123 is 1
LCM of denominators i.e. for 362,266 is 48146.
Thus, GCF of Fractions is 1/48146.Finally, GCF of Fractions for 4364/362, 6123/266 is 1/48146.