Highest Common Factor of 863, 506, 891 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 863, 506, 891 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 863, 506, 891 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 863, 506, 891 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 863, 506, 891 is 1.

HCF(863, 506, 891) = 1

HCF of 863, 506, 891 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 863, 506, 891 is 1.

Highest Common Factor of 863,506,891 using Euclid's algorithm

Highest Common Factor of 863,506,891 is 1

Step 1: Since 863 > 506, we apply the division lemma to 863 and 506, to get

863 = 506 x 1 + 357

Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 357 and 506, to get

506 = 357 x 1 + 149

Step 3: We consider the new divisor 357 and the new remainder 149, and apply the division lemma to get

357 = 149 x 2 + 59

We consider the new divisor 149 and the new remainder 59,and apply the division lemma to get

149 = 59 x 2 + 31

We consider the new divisor 59 and the new remainder 31,and apply the division lemma to get

59 = 31 x 1 + 28

We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get

31 = 28 x 1 + 3

We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get

28 = 3 x 9 + 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 863 and 506 is 1

Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(59,31) = HCF(149,59) = HCF(357,149) = HCF(506,357) = HCF(863,506) .

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

Step 1: Since 891 > 1, we apply the division lemma to 891 and 1, to get

891 = 1 x 891 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 891 is 1

Notice that 1 = HCF(891,1) .

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Frequently Asked Questions on HCF of 863, 506, 891 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 863, 506, 891?

Answer: HCF of 863, 506, 891 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 863, 506, 891 using Euclid's Algorithm?

Answer: For arbitrary numbers 863, 506, 891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.