Highest Common Factor of 826, 603, 725 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 826, 603, 725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 826, 603, 725 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 826, 603, 725 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 826, 603, 725 is 1.

HCF(826, 603, 725) = 1

HCF of 826, 603, 725 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 826, 603, 725 is 1.

Highest Common Factor of 826,603,725 using Euclid's algorithm

Highest Common Factor of 826,603,725 is 1

Step 1: Since 826 > 603, we apply the division lemma to 826 and 603, to get

826 = 603 x 1 + 223

Step 2: Since the reminder 603 ≠ 0, we apply division lemma to 223 and 603, to get

603 = 223 x 2 + 157

Step 3: We consider the new divisor 223 and the new remainder 157, and apply the division lemma to get

223 = 157 x 1 + 66

We consider the new divisor 157 and the new remainder 66,and apply the division lemma to get

157 = 66 x 2 + 25

We consider the new divisor 66 and the new remainder 25,and apply the division lemma to get

66 = 25 x 2 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 826 and 603 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(66,25) = HCF(157,66) = HCF(223,157) = HCF(603,223) = HCF(826,603) .

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

Step 1: Since 725 > 1, we apply the division lemma to 725 and 1, to get

725 = 1 x 725 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 725 is 1

Notice that 1 = HCF(725,1) .

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Frequently Asked Questions on HCF of 826, 603, 725 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 826, 603, 725?

Answer: HCF of 826, 603, 725 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 826, 603, 725 using Euclid's Algorithm?

Answer: For arbitrary numbers 826, 603, 725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.