How to Find GCF of 2710/224, 6883/404?

GCF of 2710/224, 6883/404

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 2710/224, 6883/404 i.e 1/22624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2710/224, 6883/404.

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 2710/224,6883/404?

Given fractions are 2710/224,6883/404

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 2710/224,6883/404, numerators are 2710,6883

Denominators are 224,404

The GCF of 2710,6883 is 1 .

LCM of 224,404 is 22624.

The greatest common factor of 2710/224,6883/404 = [GCF of 2710,6883]/[LCM of 224,404]= 1/22624

Therefore, the GCF of 2710/224,6883/404 is 1/22624.

Greatest Common Factor of 2710,6883

To find the highest common factor of 2710,6883, we have to find the factors of both numbers and list the highest common factor.

The factors of 2710 are 1, 2, 5, 10, 271, 542, 1355, 2710

The factors of 6883 are 1, 6883

The HCF of 2710,6883 is 1.

Lets's calculate GCF of 2710,6883

Greatest Common Factor (GCF) of 2710,6883 By Common Division

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

Greatest Common Factor of 2710,6883 By Matching Biggest Common Factor Method

Now, list down the factors of 2710

1,2,5,10,271,542,1355,2710

Now, list down the factors of 6883

1,6883

Greatest Common Factor

We found the factors 2710,6883 . The biggest common factor number is the GCF number.
So the greatest common factor 2710,6883 is 1.

Lets's calculate LCM of 224,404

Lowest Common Multiple of 224,404 using Common Division

2	224, 404
2	112, 202
	56, 101

∴ So the LCM of the given numbers is 2 x 2 x 56 x 101 = 22624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22624

Therefore, the GCF of Fractions 2710/224,6883/404 is 1/22624

Least Common Multiple of 224,404 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 224,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,404) = 4

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

GCF(224,404) x common factors =4 x 1 = 4

LCM(224,404) = ( 224 × 404 ) / 4

LCM(224,404) = 90496 / 4

LCM(224,404) = 22624

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FAQs on GCF of Fractions of 2710/224, 6883/404

1. What is the HCF of 2710,6883?

The HCF of 2710,6883 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 2710/224, 6883/404?

Answer: GCF of Numerators as per given numbers 2710/224, 6883/404 is

GCF of Numerators i.e. for 2710,6883 is 1

LCM of denominators i.e. for 224,404 is 22624.

Thus, GCF of Fractions is 1/22624.Finally, GCF of Fractions for 2710/224, 6883/404 is 1/22624.