Highest Common Factor of 859, 626, 579, 344 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 859, 626, 579, 344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 859, 626, 579, 344 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 859, 626, 579, 344 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 859, 626, 579, 344 is 1.

HCF(859, 626, 579, 344) = 1

HCF of 859, 626, 579, 344 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 859, 626, 579, 344 is 1.

Highest Common Factor of 859,626,579,344 using Euclid's algorithm

Highest Common Factor of 859,626,579,344 is 1

Step 1: Since 859 > 626, we apply the division lemma to 859 and 626, to get

859 = 626 x 1 + 233

Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 233 and 626, to get

626 = 233 x 2 + 160

Step 3: We consider the new divisor 233 and the new remainder 160, and apply the division lemma to get

233 = 160 x 1 + 73

We consider the new divisor 160 and the new remainder 73,and apply the division lemma to get

160 = 73 x 2 + 14

We consider the new divisor 73 and the new remainder 14,and apply the division lemma to get

73 = 14 x 5 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 859 and 626 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(73,14) = HCF(160,73) = HCF(233,160) = HCF(626,233) = HCF(859,626) .

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

Step 1: Since 579 > 1, we apply the division lemma to 579 and 1, to get

579 = 1 x 579 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 579 is 1

Notice that 1 = HCF(579,1) .

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

Step 1: Since 344 > 1, we apply the division lemma to 344 and 1, to get

344 = 1 x 344 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 344 is 1

Notice that 1 = HCF(344,1) .

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Frequently Asked Questions on HCF of 859, 626, 579, 344 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 859, 626, 579, 344?

Answer: HCF of 859, 626, 579, 344 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 859, 626, 579, 344 using Euclid's Algorithm?

Answer: For arbitrary numbers 859, 626, 579, 344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.