Highest Common Factor of 869, 567, 346 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 869, 567, 346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 869, 567, 346 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 869, 567, 346 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 869, 567, 346 is 1.

HCF(869, 567, 346) = 1

HCF of 869, 567, 346 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 869, 567, 346 is 1.

Highest Common Factor of 869,567,346 using Euclid's algorithm

Highest Common Factor of 869,567,346 is 1

Step 1: Since 869 > 567, we apply the division lemma to 869 and 567, to get

869 = 567 x 1 + 302

Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 302 and 567, to get

567 = 302 x 1 + 265

Step 3: We consider the new divisor 302 and the new remainder 265, and apply the division lemma to get

302 = 265 x 1 + 37

We consider the new divisor 265 and the new remainder 37,and apply the division lemma to get

265 = 37 x 7 + 6

We consider the new divisor 37 and the new remainder 6,and apply the division lemma to get

37 = 6 x 6 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 869 and 567 is 1

Notice that 1 = HCF(6,1) = HCF(37,6) = HCF(265,37) = HCF(302,265) = HCF(567,302) = HCF(869,567) .

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

Step 1: Since 346 > 1, we apply the division lemma to 346 and 1, to get

346 = 1 x 346 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 346 is 1

Notice that 1 = HCF(346,1) .

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Frequently Asked Questions on HCF of 869, 567, 346 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 869, 567, 346?

Answer: HCF of 869, 567, 346 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 869, 567, 346 using Euclid's Algorithm?

Answer: For arbitrary numbers 869, 567, 346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.