GCF of 2370/926, 4531/8674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2370/926, 4531/8674 i.e 1/4016062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2370/926, 4531/8674.
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 2370/926,4531/8674?
Given fractions are 2370/926,4531/8674
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 2370/926,4531/8674, numerators are 2370,4531
Denominators are 926,8674
The GCF of 2370,4531 is 1 .
LCM of 926,8674 is 4016062.
The greatest common factor of 2370/926,4531/8674 = [GCF of 2370,4531]/[LCM of 926,8674]= 1/4016062
Therefore, the GCF of 2370/926,4531/8674 is 1/4016062.
To find the highest common factor of 2370,4531, we have to find the factors of both numbers and list the highest common factor.
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The factors of 4531 are 1, 23, 197, 4531
The HCF of 2370,4531 is 1.
Lets's calculate GCF of 2370,4531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2370,4531 By Matching Biggest Common Factor Method
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Now, list down the factors of 4531
:1,23,197,4531
Greatest Common Factor
We found the factors 2370,4531 . The biggest common factor number is the GCF number.
So the greatest common factor 2370,4531 is 1.
Lets's calculate LCM of 926,8674
| 2 | 926, 8674 |
| 463, 4337 |
∴ So the LCM of the given numbers is 2 x 463 x 4337 = 4016062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4016062
Therefore, the GCF of Fractions 2370/926,4531/8674 is 1/4016062
Least Common Multiple of 926,8674 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 926,8674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,8674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,8674) x common factors =2 x 1 = 2
LCM(926,8674) = ( 926 × 8674 ) / 2
LCM(926,8674) = 8032124 / 2
LCM(926,8674) = 4016062
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2370/926, 4531/8674
1. What is the HCF of 2370,4531?
The HCF of 2370,4531 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 2370/926, 4531/8674?
Answer: GCF of Numerators as per given numbers 2370/926, 4531/8674 is
GCF of Numerators i.e. for 2370,4531 is 1
LCM of denominators i.e. for 926,8674 is 4016062.
Thus, GCF of Fractions is 1/4016062.Finally, GCF of Fractions for 2370/926, 4531/8674 is 1/4016062.