Highest Common Factor of 698, 859 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 698, 859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 698, 859 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 698, 859 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 698, 859 is 1.

HCF(698, 859) = 1

HCF of 698, 859 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 698, 859 is 1.

Highest Common Factor of 698,859 using Euclid's algorithm

Highest Common Factor of 698,859 is 1

Step 1: Since 859 > 698, we apply the division lemma to 859 and 698, to get

859 = 698 x 1 + 161

Step 2: Since the reminder 698 ≠ 0, we apply division lemma to 161 and 698, to get

698 = 161 x 4 + 54

Step 3: We consider the new divisor 161 and the new remainder 54, and apply the division lemma to get

161 = 54 x 2 + 53

We consider the new divisor 54 and the new remainder 53,and apply the division lemma to get

54 = 53 x 1 + 1

We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get

53 = 1 x 53 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 698 and 859 is 1

Notice that 1 = HCF(53,1) = HCF(54,53) = HCF(161,54) = HCF(698,161) = HCF(859,698) .

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Frequently Asked Questions on HCF of 698, 859 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 698, 859?

Answer: HCF of 698, 859 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 698, 859 using Euclid's Algorithm?

Answer: For arbitrary numbers 698, 859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.