Highest Common Factor of 170, 685 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 170, 685 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 170, 685 is 5 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 170, 685 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 170, 685 is 5.

HCF(170, 685) = 5

HCF of 170, 685 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 170, 685 is 5.

Highest Common Factor of 170,685 using Euclid's algorithm

Highest Common Factor of 170,685 is 5

Step 1: Since 685 > 170, we apply the division lemma to 685 and 170, to get

685 = 170 x 4 + 5

Step 2: Since the reminder 170 ≠ 0, we apply division lemma to 5 and 170, to get

170 = 5 x 34 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 170 and 685 is 5

Notice that 5 = HCF(170,5) = HCF(685,170) .

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Frequently Asked Questions on HCF of 170, 685 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 170, 685?

Answer: HCF of 170, 685 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 170, 685 using Euclid's Algorithm?

Answer: For arbitrary numbers 170, 685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.