Highest Common Factor of 858, 623, 777 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 858, 623, 777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 858, 623, 777 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 858, 623, 777 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 858, 623, 777 is 1.

HCF(858, 623, 777) = 1

HCF of 858, 623, 777 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 858, 623, 777 is 1.

Highest Common Factor of 858,623,777 using Euclid's algorithm

Highest Common Factor of 858,623,777 is 1

Step 1: Since 858 > 623, we apply the division lemma to 858 and 623, to get

858 = 623 x 1 + 235

Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 235 and 623, to get

623 = 235 x 2 + 153

Step 3: We consider the new divisor 235 and the new remainder 153, and apply the division lemma to get

235 = 153 x 1 + 82

We consider the new divisor 153 and the new remainder 82,and apply the division lemma to get

153 = 82 x 1 + 71

We consider the new divisor 82 and the new remainder 71,and apply the division lemma to get

82 = 71 x 1 + 11

We consider the new divisor 71 and the new remainder 11,and apply the division lemma to get

71 = 11 x 6 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 858 and 623 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(71,11) = HCF(82,71) = HCF(153,82) = HCF(235,153) = HCF(623,235) = HCF(858,623) .

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

Step 1: Since 777 > 1, we apply the division lemma to 777 and 1, to get

777 = 1 x 777 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 777 is 1

Notice that 1 = HCF(777,1) .

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Frequently Asked Questions on HCF of 858, 623, 777 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 858, 623, 777?

Answer: HCF of 858, 623, 777 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 858, 623, 777 using Euclid's Algorithm?

Answer: For arbitrary numbers 858, 623, 777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.