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GCF of 2263/445, 7369/8510

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 2263/445, 7369/8510 i.e 1/757390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2263/445, 7369/8510.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2263/445,7369/8510?

Given fractions are 2263/445,7369/8510

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 2263/445,7369/8510, numerators are 2263,7369

Denominators are 445,8510

The GCF of 2263,7369 is 1 .

LCM of 445,8510 is 757390.

The greatest common factor of 2263/445,7369/8510 = [GCF of 2263,7369]/[LCM of 445,8510]= 1/757390

Therefore, the GCF of 2263/445,7369/8510 is 1/757390.

Greatest Common Factor of 2263,7369

To find the highest common factor of 2263,7369, we have to find the factors of both numbers and list the highest common factor.

The factors of 2263 are 1, 31, 73, 2263

The factors of 7369 are 1, 7369

The HCF of 2263,7369 is 1.

Lets's calculate GCF of 2263,7369

Greatest Common Factor (GCF) of 2263,7369 By Common Division

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

Greatest Common Factor of 2263,7369 By Matching Biggest Common Factor Method

Greatest Common Factor of 2263,7369 By Matching Biggest Common Factor Method

Now, list down the factors of 2263

:

1,31,73,2263

Now, list down the factors of 7369

:

1,7369

Greatest Common Factor

We found the factors 2263,7369 . The biggest common factor number is the GCF number.
So the greatest common factor 2263,7369 is 1.

Lets's calculate LCM of 445,8510

Lowest Common Multiple of 445,8510 using Common Division

5 445, 8510
89, 1702

∴ So the LCM of the given numbers is 5 x 89 x 1702 = 757390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/757390

Therefore, the GCF of Fractions 2263/445,7369/8510 is 1/757390

Least Common Multiple of 445,8510 with GCF Formula

Least Common Multiple of 445,8510 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 445,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,8510) = 5

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

GCF(445,8510) x common factors =5 x 1 = 5

LCM(445,8510) = ( 445 × 8510 ) / 5

LCM(445,8510) = 3786950 / 5

LCM(445,8510) = 757390


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FAQs on GCF of Fractions of 2263/445, 7369/8510

1. What is the HCF of 2263,7369?

The HCF of 2263,7369 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 2263/445, 7369/8510?

Answer: GCF of Numerators as per given numbers 2263/445, 7369/8510 is

GCF of Numerators i.e. for 2263,7369 is 1

LCM of denominators i.e. for 445,8510 is 757390.

Thus, GCF of Fractions is 1/757390.Finally, GCF of Fractions for 2263/445, 7369/8510 is 1/757390.