Highest Common Factor of 620, 835, 561 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 620, 835, 561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 620, 835, 561 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 620, 835, 561 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 620, 835, 561 is 1.

HCF(620, 835, 561) = 1

HCF of 620, 835, 561 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 620, 835, 561 is 1.

Highest Common Factor of 620,835,561 using Euclid's algorithm

Highest Common Factor of 620,835,561 is 1

Step 1: Since 835 > 620, we apply the division lemma to 835 and 620, to get

835 = 620 x 1 + 215

Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 215 and 620, to get

620 = 215 x 2 + 190

Step 3: We consider the new divisor 215 and the new remainder 190, and apply the division lemma to get

215 = 190 x 1 + 25

We consider the new divisor 190 and the new remainder 25,and apply the division lemma to get

190 = 25 x 7 + 15

We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get

25 = 15 x 1 + 10

We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 620 and 835 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(190,25) = HCF(215,190) = HCF(620,215) = HCF(835,620) .

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

Step 1: Since 561 > 5, we apply the division lemma to 561 and 5, to get

561 = 5 x 112 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 561 is 1

Notice that 1 = HCF(5,1) = HCF(561,5) .

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Frequently Asked Questions on HCF of 620, 835, 561 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 620, 835, 561?

Answer: HCF of 620, 835, 561 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 620, 835, 561 using Euclid's Algorithm?

Answer: For arbitrary numbers 620, 835, 561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.