How to Find GCF of 4690/805, 1730/5861?

GCF of 4690/805, 1730/5861

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 4690/805, 1730/5861 i.e 10/4718105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4690/805, 1730/5861.

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 4690/805,1730/5861?

Given fractions are 4690/805,1730/5861

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 4690/805,1730/5861, numerators are 4690,1730

Denominators are 805,5861

The GCF of 4690,1730 is 10 .

LCM of 805,5861 is 4718105.

The greatest common factor of 4690/805,1730/5861 = [GCF of 4690,1730]/[LCM of 805,5861]= 10/4718105

Therefore, the GCF of 4690/805,1730/5861 is 10/4718105.

Greatest Common Factor of 4690,1730

To find the highest common factor of 4690,1730, we have to find the factors of both numbers and list the highest common factor.

The factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690

The factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730

The HCF of 4690,1730 is 10.

Lets's calculate GCF of 4690,1730

Greatest Common Factor (GCF) of 4690,1730 By Common Division

2	4690, 1730
5	2345, 865
	469, 173

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4690,1730 By Matching Biggest Common Factor Method

Now, list down the factors of 4690

1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690

Now, list down the factors of 1730

1,2,5,10,173,346,865,1730

Greatest Common Factor

We found the factors 4690,1730 . The biggest common factor number is the GCF number.
So the greatest common factor 4690,1730 is 10.

Lets's calculate LCM of 805,5861

Lowest Common Multiple of 805,5861 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4718105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4718105

Therefore, the GCF of Fractions 4690/805,1730/5861 is 10/4718105

Least Common Multiple of 805,5861 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 805,5861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,5861) = 1

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

GCF(805,5861) x common factors =1 x 1 = 1

LCM(805,5861) = ( 805 × 5861 ) / 1

LCM(805,5861) = 4718105 / 1

LCM(805,5861) = 4718105

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4690/805, 1730/5861

1. What is the HCF of 4690,1730?

The HCF of 4690,1730 is 10

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 4690/805, 1730/5861?

Answer: GCF of Numerators as per given numbers 4690/805, 1730/5861 is

GCF of Numerators i.e. for 4690,1730 is 10

LCM of denominators i.e. for 805,5861 is 4718105.

Thus, GCF of Fractions is 10/4718105.Finally, GCF of Fractions for 4690/805, 1730/5861 is 10/4718105.