Highest Common Factor of 553, 862, 909 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 553, 862, 909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 553, 862, 909 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 553, 862, 909 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 553, 862, 909 is 1.

HCF(553, 862, 909) = 1

HCF of 553, 862, 909 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 553, 862, 909 is 1.

Highest Common Factor of 553,862,909 using Euclid's algorithm

Highest Common Factor of 553,862,909 is 1

Step 1: Since 862 > 553, we apply the division lemma to 862 and 553, to get

862 = 553 x 1 + 309

Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 309 and 553, to get

553 = 309 x 1 + 244

Step 3: We consider the new divisor 309 and the new remainder 244, and apply the division lemma to get

309 = 244 x 1 + 65

We consider the new divisor 244 and the new remainder 65,and apply the division lemma to get

244 = 65 x 3 + 49

We consider the new divisor 65 and the new remainder 49,and apply the division lemma to get

65 = 49 x 1 + 16

We consider the new divisor 49 and the new remainder 16,and apply the division lemma to get

49 = 16 x 3 + 1

We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get

16 = 1 x 16 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 553 and 862 is 1

Notice that 1 = HCF(16,1) = HCF(49,16) = HCF(65,49) = HCF(244,65) = HCF(309,244) = HCF(553,309) = HCF(862,553) .

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

Step 1: Since 909 > 1, we apply the division lemma to 909 and 1, to get

909 = 1 x 909 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 909 is 1

Notice that 1 = HCF(909,1) .

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Frequently Asked Questions on HCF of 553, 862, 909 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 553, 862, 909?

Answer: HCF of 553, 862, 909 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 553, 862, 909 using Euclid's Algorithm?

Answer: For arbitrary numbers 553, 862, 909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.