How to Find GCF of 5779/925, 2214/6168?

GCF of 5779/925, 2214/6168

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 5779/925, 2214/6168 i.e 1/5705400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5779/925, 2214/6168.

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 5779/925,2214/6168?

Given fractions are 5779/925,2214/6168

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 5779/925,2214/6168, numerators are 5779,2214

Denominators are 925,6168

The GCF of 5779,2214 is 1 .

LCM of 925,6168 is 5705400.

The greatest common factor of 5779/925,2214/6168 = [GCF of 5779,2214]/[LCM of 925,6168]= 1/5705400

Therefore, the GCF of 5779/925,2214/6168 is 1/5705400.

Greatest Common Factor of 5779,2214

To find the highest common factor of 5779,2214, we have to find the factors of both numbers and list the highest common factor.

The factors of 5779 are 1, 5779

The factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214

The HCF of 5779,2214 is 1.

Lets's calculate GCF of 5779,2214

Greatest Common Factor (GCF) of 5779,2214 By Common Division

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

Greatest Common Factor of 5779,2214 By Matching Biggest Common Factor Method

Now, list down the factors of 5779

1,5779

Now, list down the factors of 2214

1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214

Greatest Common Factor

We found the factors 5779,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 5779,2214 is 1.

Lets's calculate LCM of 925,6168

Lowest Common Multiple of 925,6168 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5705400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5705400

Therefore, the GCF of Fractions 5779/925,2214/6168 is 1/5705400

Least Common Multiple of 925,6168 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 925,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,6168) = 1

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

GCF(925,6168) x common factors =1 x 1 = 1

LCM(925,6168) = ( 925 × 6168 ) / 1

LCM(925,6168) = 5705400 / 1

LCM(925,6168) = 5705400

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5779/925, 2214/6168

1. What is the HCF of 5779,2214?

The HCF of 5779,2214 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 5779/925, 2214/6168?

Answer: GCF of Numerators as per given numbers 5779/925, 2214/6168 is

GCF of Numerators i.e. for 5779,2214 is 1

LCM of denominators i.e. for 925,6168 is 5705400.

Thus, GCF of Fractions is 1/5705400.Finally, GCF of Fractions for 5779/925, 2214/6168 is 1/5705400.