How to Find GCF of 5570/217, 2908/141?

GCF of 5570/217, 2908/141

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 5570/217, 2908/141 i.e 2/30597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5570/217, 2908/141.

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 5570/217,2908/141?

Given fractions are 5570/217,2908/141

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 5570/217,2908/141, numerators are 5570,2908

Denominators are 217,141

The GCF of 5570,2908 is 2 .

LCM of 217,141 is 30597.

The greatest common factor of 5570/217,2908/141 = [GCF of 5570,2908]/[LCM of 217,141]= 2/30597

Therefore, the GCF of 5570/217,2908/141 is 2/30597.

Greatest Common Factor of 5570,2908

To find the highest common factor of 5570,2908, we have to find the factors of both numbers and list the highest common factor.

The factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570

The factors of 2908 are 1, 2, 4, 727, 1454, 2908

The HCF of 5570,2908 is 2.

Lets's calculate GCF of 5570,2908

Greatest Common Factor (GCF) of 5570,2908 By Common Division

2	5570, 2908
	2785, 1454

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5570,2908 By Matching Biggest Common Factor Method

Now, list down the factors of 5570

1,2,5,10,557,1114,2785,5570

Now, list down the factors of 2908

1,2,4,727,1454,2908

Greatest Common Factor

We found the factors 5570,2908 . The biggest common factor number is the GCF number.
So the greatest common factor 5570,2908 is 2.

Lets's calculate LCM of 217,141

Lowest Common Multiple of 217,141 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30597

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30597

Therefore, the GCF of Fractions 5570/217,2908/141 is 2/30597

Least Common Multiple of 217,141 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 217,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,141) = 1

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

GCF(217,141) x common factors =1 x 1 = 1

LCM(217,141) = ( 217 × 141 ) / 1

LCM(217,141) = 30597 / 1

LCM(217,141) = 30597

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FAQs on GCF of Fractions of 5570/217, 2908/141

1. What is the HCF of 5570,2908?

The HCF of 5570,2908 is 2

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 5570/217, 2908/141?

Answer: GCF of Numerators as per given numbers 5570/217, 2908/141 is

GCF of Numerators i.e. for 5570,2908 is 2

LCM of denominators i.e. for 217,141 is 30597.

Thus, GCF of Fractions is 2/30597.Finally, GCF of Fractions for 5570/217, 2908/141 is 2/30597.