Highest Common Factor of 895, 708 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 895, 708 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 895, 708 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 895, 708 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 895, 708 is 1.

HCF(895, 708) = 1

HCF of 895, 708 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 895, 708 is 1.

Highest Common Factor of 895,708 using Euclid's algorithm

Highest Common Factor of 895,708 is 1

Step 1: Since 895 > 708, we apply the division lemma to 895 and 708, to get

895 = 708 x 1 + 187

Step 2: Since the reminder 708 ≠ 0, we apply division lemma to 187 and 708, to get

708 = 187 x 3 + 147

Step 3: We consider the new divisor 187 and the new remainder 147, and apply the division lemma to get

187 = 147 x 1 + 40

We consider the new divisor 147 and the new remainder 40,and apply the division lemma to get

147 = 40 x 3 + 27

We consider the new divisor 40 and the new remainder 27,and apply the division lemma to get

40 = 27 x 1 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 895 and 708 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(40,27) = HCF(147,40) = HCF(187,147) = HCF(708,187) = HCF(895,708) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 895, 708 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 895, 708?

Answer: HCF of 895, 708 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 895, 708 using Euclid's Algorithm?

Answer: For arbitrary numbers 895, 708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.