Highest Common Factor of 708, 893 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 708, 893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 708, 893 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 708, 893 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 708, 893 is 1.

HCF(708, 893) = 1

HCF of 708, 893 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 708, 893 is 1.

Highest Common Factor of 708,893 using Euclid's algorithm

Highest Common Factor of 708,893 is 1

Step 1: Since 893 > 708, we apply the division lemma to 893 and 708, to get

893 = 708 x 1 + 185

Step 2: Since the reminder 708 ≠ 0, we apply division lemma to 185 and 708, to get

708 = 185 x 3 + 153

Step 3: We consider the new divisor 185 and the new remainder 153, and apply the division lemma to get

185 = 153 x 1 + 32

We consider the new divisor 153 and the new remainder 32,and apply the division lemma to get

153 = 32 x 4 + 25

We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get

32 = 25 x 1 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 708 and 893 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(153,32) = HCF(185,153) = HCF(708,185) = HCF(893,708) .

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Frequently Asked Questions on HCF of 708, 893 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 708, 893?

Answer: HCF of 708, 893 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 708, 893 using Euclid's Algorithm?

Answer: For arbitrary numbers 708, 893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.