Highest Common Factor of 895, 562, 724 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, 562, 724 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 895, 562, 724 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, 562, 724 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, 562, 724 is 1.

HCF(895, 562, 724) = 1

HCF of 895, 562, 724 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, 562, 724 is 1.

Highest Common Factor of 895,562,724 using Euclid's algorithm

Highest Common Factor of 895,562,724 is 1

Step 1: Since 895 > 562, we apply the division lemma to 895 and 562, to get

895 = 562 x 1 + 333

Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 333 and 562, to get

562 = 333 x 1 + 229

Step 3: We consider the new divisor 333 and the new remainder 229, and apply the division lemma to get

333 = 229 x 1 + 104

We consider the new divisor 229 and the new remainder 104,and apply the division lemma to get

229 = 104 x 2 + 21

We consider the new divisor 104 and the new remainder 21,and apply the division lemma to get

104 = 21 x 4 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 895 and 562 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(104,21) = HCF(229,104) = HCF(333,229) = HCF(562,333) = HCF(895,562) .

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

Step 1: Since 724 > 1, we apply the division lemma to 724 and 1, to get

724 = 1 x 724 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 724 is 1

Notice that 1 = HCF(724,1) .

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Frequently Asked Questions on HCF of 895, 562, 724 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, 562, 724?

Answer: HCF of 895, 562, 724 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 895, 562, 724 using Euclid's Algorithm?

Answer: For arbitrary numbers 895, 562, 724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.