How to Find GCF of 5605/237, 7087/8209?

GCF of 5605/237, 7087/8209

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 5605/237, 7087/8209 i.e 19/1945533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5605/237, 7087/8209.

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 5605/237,7087/8209?

Given fractions are 5605/237,7087/8209

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 5605/237,7087/8209, numerators are 5605,7087

Denominators are 237,8209

The GCF of 5605,7087 is 19 .

LCM of 237,8209 is 1945533.

The greatest common factor of 5605/237,7087/8209 = [GCF of 5605,7087]/[LCM of 237,8209]= 19/1945533

Therefore, the GCF of 5605/237,7087/8209 is 19/1945533.

Greatest Common Factor of 5605,7087

To find the highest common factor of 5605,7087, we have to find the factors of both numbers and list the highest common factor.

The factors of 5605 are 1, 5, 19, 59, 95, 295, 1121, 5605

The factors of 7087 are 1, 19, 373, 7087

The HCF of 5605,7087 is 19.

Lets's calculate GCF of 5605,7087

Greatest Common Factor (GCF) of 5605,7087 By Common Division

19	5605, 7087
	295, 373

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 5605,7087 By Matching Biggest Common Factor Method

Now, list down the factors of 5605

1,5,19,59,95,295,1121,5605

Now, list down the factors of 7087

1,19,373,7087

Greatest Common Factor

We found the factors 5605,7087 . The biggest common factor number is the GCF number.
So the greatest common factor 5605,7087 is 19.

Lets's calculate LCM of 237,8209

Lowest Common Multiple of 237,8209 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1945533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1945533

Therefore, the GCF of Fractions 5605/237,7087/8209 is 19/1945533

Least Common Multiple of 237,8209 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 237,8209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,8209) = 1

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

GCF(237,8209) x common factors =1 x 1 = 1

LCM(237,8209) = ( 237 × 8209 ) / 1

LCM(237,8209) = 1945533 / 1

LCM(237,8209) = 1945533

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FAQs on GCF of Fractions of 5605/237, 7087/8209

1. What is the HCF of 5605,7087?

The HCF of 5605,7087 is 19

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 5605/237, 7087/8209?

Answer: GCF of Numerators as per given numbers 5605/237, 7087/8209 is

GCF of Numerators i.e. for 5605,7087 is 19

LCM of denominators i.e. for 237,8209 is 1945533.

Thus, GCF of Fractions is 19/1945533.Finally, GCF of Fractions for 5605/237, 7087/8209 is 19/1945533.