How to Find GCF of 2269/743, 8900/941?

GCF of 2269/743, 8900/941

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 2269/743, 8900/941 i.e 1/699163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2269/743, 8900/941.

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 2269/743,8900/941?

Given fractions are 2269/743,8900/941

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 2269/743,8900/941, numerators are 2269,8900

Denominators are 743,941

The GCF of 2269,8900 is 1 .

LCM of 743,941 is 699163.

The greatest common factor of 2269/743,8900/941 = [GCF of 2269,8900]/[LCM of 743,941]= 1/699163

Therefore, the GCF of 2269/743,8900/941 is 1/699163.

Greatest Common Factor of 2269,8900

To find the highest common factor of 2269,8900, we have to find the factors of both numbers and list the highest common factor.

The factors of 2269 are 1, 2269

The factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900

The HCF of 2269,8900 is 1.

Lets's calculate GCF of 2269,8900

Greatest Common Factor (GCF) of 2269,8900 By Common Division

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

Greatest Common Factor of 2269,8900 By Matching Biggest Common Factor Method

Now, list down the factors of 2269

1,2269

Now, list down the factors of 8900

1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900

Greatest Common Factor

We found the factors 2269,8900 . The biggest common factor number is the GCF number.
So the greatest common factor 2269,8900 is 1.

Lets's calculate LCM of 743,941

Lowest Common Multiple of 743,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 699163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699163

Therefore, the GCF of Fractions 2269/743,8900/941 is 1/699163

Least Common Multiple of 743,941 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 743,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,941) = 1

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

GCF(743,941) x common factors =1 x 1 = 1

LCM(743,941) = ( 743 × 941 ) / 1

LCM(743,941) = 699163 / 1

LCM(743,941) = 699163

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2269/743, 8900/941

1. What is the HCF of 2269,8900?

The HCF of 2269,8900 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 2269/743, 8900/941?

Answer: GCF of Numerators as per given numbers 2269/743, 8900/941 is

GCF of Numerators i.e. for 2269,8900 is 1

LCM of denominators i.e. for 743,941 is 699163.

Thus, GCF of Fractions is 1/699163.Finally, GCF of Fractions for 2269/743, 8900/941 is 1/699163.