Highest Common Factor of 475, 587, 199 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 475, 587, 199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 475, 587, 199 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 475, 587, 199 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 475, 587, 199 is 1.

HCF(475, 587, 199) = 1

HCF of 475, 587, 199 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 475, 587, 199 is 1.

Highest Common Factor of 475,587,199 using Euclid's algorithm

Highest Common Factor of 475,587,199 is 1

Step 1: Since 587 > 475, we apply the division lemma to 587 and 475, to get

587 = 475 x 1 + 112

Step 2: Since the reminder 475 ≠ 0, we apply division lemma to 112 and 475, to get

475 = 112 x 4 + 27

Step 3: We consider the new divisor 112 and the new remainder 27, and apply the division lemma to get

112 = 27 x 4 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 475 and 587 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(112,27) = HCF(475,112) = HCF(587,475) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 199 > 1, we apply the division lemma to 199 and 1, to get

199 = 1 x 199 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 199 is 1

Notice that 1 = HCF(199,1) .

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Frequently Asked Questions on HCF of 475, 587, 199 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 475, 587, 199?

Answer: HCF of 475, 587, 199 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 475, 587, 199 using Euclid's Algorithm?

Answer: For arbitrary numbers 475, 587, 199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.