Highest Common Factor of 877, 533, 470 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 877, 533, 470 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 877, 533, 470 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 877, 533, 470 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 877, 533, 470 is 1.

HCF(877, 533, 470) = 1

HCF of 877, 533, 470 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 877, 533, 470 is 1.

Highest Common Factor of 877,533,470 using Euclid's algorithm

Highest Common Factor of 877,533,470 is 1

Step 1: Since 877 > 533, we apply the division lemma to 877 and 533, to get

877 = 533 x 1 + 344

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 344 and 533, to get

533 = 344 x 1 + 189

Step 3: We consider the new divisor 344 and the new remainder 189, and apply the division lemma to get

344 = 189 x 1 + 155

We consider the new divisor 189 and the new remainder 155,and apply the division lemma to get

189 = 155 x 1 + 34

We consider the new divisor 155 and the new remainder 34,and apply the division lemma to get

155 = 34 x 4 + 19

We consider the new divisor 34 and the new remainder 19,and apply the division lemma to get

34 = 19 x 1 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 877 and 533 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(34,19) = HCF(155,34) = HCF(189,155) = HCF(344,189) = HCF(533,344) = HCF(877,533) .

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

Step 1: Since 470 > 1, we apply the division lemma to 470 and 1, to get

470 = 1 x 470 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 470 is 1

Notice that 1 = HCF(470,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 877, 533, 470 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 877, 533, 470?

Answer: HCF of 877, 533, 470 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 877, 533, 470 using Euclid's Algorithm?

Answer: For arbitrary numbers 877, 533, 470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.