How to Find GCF of 2237/404, 6454/745?

GCF of 2237/404, 6454/745

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 2237/404, 6454/745 i.e 1/300980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2237/404, 6454/745.

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 2237/404,6454/745?

Given fractions are 2237/404,6454/745

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 2237/404,6454/745, numerators are 2237,6454

Denominators are 404,745

The GCF of 2237,6454 is 1 .

LCM of 404,745 is 300980.

The greatest common factor of 2237/404,6454/745 = [GCF of 2237,6454]/[LCM of 404,745]= 1/300980

Therefore, the GCF of 2237/404,6454/745 is 1/300980.

Greatest Common Factor of 2237,6454

To find the highest common factor of 2237,6454, we have to find the factors of both numbers and list the highest common factor.

The factors of 2237 are 1, 2237

The factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454

The HCF of 2237,6454 is 1.

Lets's calculate GCF of 2237,6454

Greatest Common Factor (GCF) of 2237,6454 By Common Division

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

Greatest Common Factor of 2237,6454 By Matching Biggest Common Factor Method

Now, list down the factors of 2237

1,2237

Now, list down the factors of 6454

1,2,7,14,461,922,3227,6454

Greatest Common Factor

We found the factors 2237,6454 . The biggest common factor number is the GCF number.
So the greatest common factor 2237,6454 is 1.

Lets's calculate LCM of 404,745

Lowest Common Multiple of 404,745 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 300980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300980

Therefore, the GCF of Fractions 2237/404,6454/745 is 1/300980

Least Common Multiple of 404,745 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 404,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,745) = 1

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

GCF(404,745) x common factors =1 x 1 = 1

LCM(404,745) = ( 404 × 745 ) / 1

LCM(404,745) = 300980 / 1

LCM(404,745) = 300980

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FAQs on GCF of Fractions of 2237/404, 6454/745

1. What is the HCF of 2237,6454?

The HCF of 2237,6454 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 2237/404, 6454/745?

Answer: GCF of Numerators as per given numbers 2237/404, 6454/745 is

GCF of Numerators i.e. for 2237,6454 is 1

LCM of denominators i.e. for 404,745 is 300980.

Thus, GCF of Fractions is 1/300980.Finally, GCF of Fractions for 2237/404, 6454/745 is 1/300980.