How to Find GCF of 2203/320, 7409/6308?

GCF of 2203/320, 7409/6308

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 2203/320, 7409/6308 i.e 1/504640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2203/320, 7409/6308.

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 2203/320,7409/6308?

Given fractions are 2203/320,7409/6308

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 2203/320,7409/6308, numerators are 2203,7409

Denominators are 320,6308

The GCF of 2203,7409 is 1 .

LCM of 320,6308 is 504640.

The greatest common factor of 2203/320,7409/6308 = [GCF of 2203,7409]/[LCM of 320,6308]= 1/504640

Therefore, the GCF of 2203/320,7409/6308 is 1/504640.

Greatest Common Factor of 2203,7409

To find the highest common factor of 2203,7409, we have to find the factors of both numbers and list the highest common factor.

The factors of 2203 are 1, 2203

The factors of 7409 are 1, 31, 239, 7409

The HCF of 2203,7409 is 1.

Lets's calculate GCF of 2203,7409

Greatest Common Factor (GCF) of 2203,7409 By Common Division

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

Greatest Common Factor of 2203,7409 By Matching Biggest Common Factor Method

Now, list down the factors of 2203

1,2203

Now, list down the factors of 7409

1,31,239,7409

Greatest Common Factor

We found the factors 2203,7409 . The biggest common factor number is the GCF number.
So the greatest common factor 2203,7409 is 1.

Lets's calculate LCM of 320,6308

Lowest Common Multiple of 320,6308 using Common Division

2	320, 6308
2	160, 3154
	80, 1577

∴ So the LCM of the given numbers is 2 x 2 x 80 x 1577 = 504640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504640

Therefore, the GCF of Fractions 2203/320,7409/6308 is 1/504640

Least Common Multiple of 320,6308 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 320,6308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,6308) = 4

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

GCF(320,6308) x common factors =4 x 1 = 4

LCM(320,6308) = ( 320 × 6308 ) / 4

LCM(320,6308) = 2018560 / 4

LCM(320,6308) = 504640

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FAQs on GCF of Fractions of 2203/320, 7409/6308

1. What is the HCF of 2203,7409?

The HCF of 2203,7409 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 2203/320, 7409/6308?

Answer: GCF of Numerators as per given numbers 2203/320, 7409/6308 is

GCF of Numerators i.e. for 2203,7409 is 1

LCM of denominators i.e. for 320,6308 is 504640.

Thus, GCF of Fractions is 1/504640.Finally, GCF of Fractions for 2203/320, 7409/6308 is 1/504640.