How to Find GCF of 2341/366, 2138/1750?

GCF of 2341/366, 2138/1750

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2341/366, 2138/1750 i.e 1/320250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2341/366, 2138/1750.

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 2341/366,2138/1750?

Given fractions are 2341/366,2138/1750

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 2341/366,2138/1750, numerators are 2341,2138

Denominators are 366,1750

The GCF of 2341,2138 is 1 .

LCM of 366,1750 is 320250.

The greatest common factor of 2341/366,2138/1750 = [GCF of 2341,2138]/[LCM of 366,1750]= 1/320250

Therefore, the GCF of 2341/366,2138/1750 is 1/320250.

Greatest Common Factor of 2341,2138

To find the highest common factor of 2341,2138, we have to find the factors of both numbers and list the highest common factor.

The factors of 2341 are 1, 2341

The factors of 2138 are 1, 2, 1069, 2138

The HCF of 2341,2138 is 1.

Lets's calculate GCF of 2341,2138

Greatest Common Factor (GCF) of 2341,2138 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2341,2138 By Matching Biggest Common Factor Method

Now, list down the factors of 2341

1,2341

Now, list down the factors of 2138

1,2,1069,2138

Greatest Common Factor

We found the factors 2341,2138 . The biggest common factor number is the GCF number.
So the greatest common factor 2341,2138 is 1.

Lets's calculate LCM of 366,1750

Lowest Common Multiple of 366,1750 using Common Division

2	366, 1750
	183, 875

∴ So the LCM of the given numbers is 2 x 183 x 875 = 320250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320250

Therefore, the GCF of Fractions 2341/366,2138/1750 is 1/320250

Least Common Multiple of 366,1750 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 366,1750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,1750) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(366,1750) x common factors =2 x 1 = 2

LCM(366,1750) = ( 366 × 1750 ) / 2

LCM(366,1750) = 640500 / 2

LCM(366,1750) = 320250

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FAQs on GCF of Fractions of 2341/366, 2138/1750

1. What is the HCF of 2341,2138?

The HCF of 2341,2138 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 2341/366, 2138/1750?

Answer: GCF of Numerators as per given numbers 2341/366, 2138/1750 is

GCF of Numerators i.e. for 2341,2138 is 1

LCM of denominators i.e. for 366,1750 is 320250.

Thus, GCF of Fractions is 1/320250.Finally, GCF of Fractions for 2341/366, 2138/1750 is 1/320250.