Highest Common Factor of 906, 557, 833, 815 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 906, 557, 833, 815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 906, 557, 833, 815 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 906, 557, 833, 815 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 906, 557, 833, 815 is 1.

HCF(906, 557, 833, 815) = 1

HCF of 906, 557, 833, 815 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 906, 557, 833, 815 is 1.

Highest Common Factor of 906,557,833,815 using Euclid's algorithm

Highest Common Factor of 906,557,833,815 is 1

Step 1: Since 906 > 557, we apply the division lemma to 906 and 557, to get

906 = 557 x 1 + 349

Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 349 and 557, to get

557 = 349 x 1 + 208

Step 3: We consider the new divisor 349 and the new remainder 208, and apply the division lemma to get

349 = 208 x 1 + 141

We consider the new divisor 208 and the new remainder 141,and apply the division lemma to get

208 = 141 x 1 + 67

We consider the new divisor 141 and the new remainder 67,and apply the division lemma to get

141 = 67 x 2 + 7

We consider the new divisor 67 and the new remainder 7,and apply the division lemma to get

67 = 7 x 9 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 906 and 557 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(67,7) = HCF(141,67) = HCF(208,141) = HCF(349,208) = HCF(557,349) = HCF(906,557) .

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

Step 1: Since 833 > 1, we apply the division lemma to 833 and 1, to get

833 = 1 x 833 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 833 is 1

Notice that 1 = HCF(833,1) .

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

Step 1: Since 815 > 1, we apply the division lemma to 815 and 1, to get

815 = 1 x 815 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 815 is 1

Notice that 1 = HCF(815,1) .

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Frequently Asked Questions on HCF of 906, 557, 833, 815 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 906, 557, 833, 815?

Answer: HCF of 906, 557, 833, 815 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 906, 557, 833, 815 using Euclid's Algorithm?

Answer: For arbitrary numbers 906, 557, 833, 815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.