Highest Common Factor of 855, 623, 604 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 855, 623, 604 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 855, 623, 604 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 855, 623, 604 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 855, 623, 604 is 1.

HCF(855, 623, 604) = 1

HCF of 855, 623, 604 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 855, 623, 604 is 1.

Highest Common Factor of 855,623,604 using Euclid's algorithm

Highest Common Factor of 855,623,604 is 1

Step 1: Since 855 > 623, we apply the division lemma to 855 and 623, to get

855 = 623 x 1 + 232

Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 232 and 623, to get

623 = 232 x 2 + 159

Step 3: We consider the new divisor 232 and the new remainder 159, and apply the division lemma to get

232 = 159 x 1 + 73

We consider the new divisor 159 and the new remainder 73,and apply the division lemma to get

159 = 73 x 2 + 13

We consider the new divisor 73 and the new remainder 13,and apply the division lemma to get

73 = 13 x 5 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 855 and 623 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(73,13) = HCF(159,73) = HCF(232,159) = HCF(623,232) = HCF(855,623) .

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

Step 1: Since 604 > 1, we apply the division lemma to 604 and 1, to get

604 = 1 x 604 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 604 is 1

Notice that 1 = HCF(604,1) .

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Frequently Asked Questions on HCF of 855, 623, 604 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 855, 623, 604?

Answer: HCF of 855, 623, 604 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 855, 623, 604 using Euclid's Algorithm?

Answer: For arbitrary numbers 855, 623, 604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.