How to Find GCF of 2311/940, 5698/2321?

GCF of 2311/940, 5698/2321

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 2311/940, 5698/2321 i.e 1/2181740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2311/940, 5698/2321.

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 2311/940,5698/2321?

Given fractions are 2311/940,5698/2321

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 2311/940,5698/2321, numerators are 2311,5698

Denominators are 940,2321

The GCF of 2311,5698 is 1 .

LCM of 940,2321 is 2181740.

The greatest common factor of 2311/940,5698/2321 = [GCF of 2311,5698]/[LCM of 940,2321]= 1/2181740

Therefore, the GCF of 2311/940,5698/2321 is 1/2181740.

Greatest Common Factor of 2311,5698

To find the highest common factor of 2311,5698, we have to find the factors of both numbers and list the highest common factor.

The factors of 2311 are 1, 2311

The factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698

The HCF of 2311,5698 is 1.

Lets's calculate GCF of 2311,5698

Greatest Common Factor (GCF) of 2311,5698 By Common Division

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

Greatest Common Factor of 2311,5698 By Matching Biggest Common Factor Method

Now, list down the factors of 2311

1,2311

Now, list down the factors of 5698

1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698

Greatest Common Factor

We found the factors 2311,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 2311,5698 is 1.

Lets's calculate LCM of 940,2321

Lowest Common Multiple of 940,2321 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2181740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2181740

Therefore, the GCF of Fractions 2311/940,5698/2321 is 1/2181740

Least Common Multiple of 940,2321 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 940,2321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,2321) = 1

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

GCF(940,2321) x common factors =1 x 1 = 1

LCM(940,2321) = ( 940 × 2321 ) / 1

LCM(940,2321) = 2181740 / 1

LCM(940,2321) = 2181740

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2311/940, 5698/2321

1. What is the HCF of 2311,5698?

The HCF of 2311,5698 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 2311/940, 5698/2321?

Answer: GCF of Numerators as per given numbers 2311/940, 5698/2321 is

GCF of Numerators i.e. for 2311,5698 is 1

LCM of denominators i.e. for 940,2321 is 2181740.

Thus, GCF of Fractions is 1/2181740.Finally, GCF of Fractions for 2311/940, 5698/2321 is 1/2181740.