How to Find GCF of 4400/496, 8189/254?

GCF of 4400/496, 8189/254

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 4400/496, 8189/254 i.e 1/62992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4400/496, 8189/254.

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 4400/496,8189/254?

Given fractions are 4400/496,8189/254

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 4400/496,8189/254, numerators are 4400,8189

Denominators are 496,254

The GCF of 4400,8189 is 1 .

LCM of 496,254 is 62992.

The greatest common factor of 4400/496,8189/254 = [GCF of 4400,8189]/[LCM of 496,254]= 1/62992

Therefore, the GCF of 4400/496,8189/254 is 1/62992.

Greatest Common Factor of 4400,8189

To find the highest common factor of 4400,8189, we have to find the factors of both numbers and list the highest common factor.

The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

The factors of 8189 are 1, 19, 431, 8189

The HCF of 4400,8189 is 1.

Lets's calculate GCF of 4400,8189

Greatest Common Factor (GCF) of 4400,8189 By Common Division

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

Greatest Common Factor of 4400,8189 By Matching Biggest Common Factor Method

Now, list down the factors of 4400

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Now, list down the factors of 8189

1,19,431,8189

Greatest Common Factor

We found the factors 4400,8189 . The biggest common factor number is the GCF number.
So the greatest common factor 4400,8189 is 1.

Lets's calculate LCM of 496,254

Lowest Common Multiple of 496,254 using Common Division

2	496, 254
	248, 127

∴ So the LCM of the given numbers is 2 x 248 x 127 = 62992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62992

Therefore, the GCF of Fractions 4400/496,8189/254 is 1/62992

Least Common Multiple of 496,254 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 496,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,254) = 2

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

GCF(496,254) x common factors =2 x 1 = 2

LCM(496,254) = ( 496 × 254 ) / 2

LCM(496,254) = 125984 / 2

LCM(496,254) = 62992

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FAQs on GCF of Fractions of 4400/496, 8189/254

1. What is the HCF of 4400,8189?

The HCF of 4400,8189 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 4400/496, 8189/254?

Answer: GCF of Numerators as per given numbers 4400/496, 8189/254 is

GCF of Numerators i.e. for 4400,8189 is 1

LCM of denominators i.e. for 496,254 is 62992.

Thus, GCF of Fractions is 1/62992.Finally, GCF of Fractions for 4400/496, 8189/254 is 1/62992.