Highest Common Factor of 458, 789, 888 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 458, 789, 888 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 458, 789, 888 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 458, 789, 888 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 458, 789, 888 is 1.

HCF(458, 789, 888) = 1

HCF of 458, 789, 888 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 458, 789, 888 is 1.

Highest Common Factor of 458,789,888 using Euclid's algorithm

Highest Common Factor of 458,789,888 is 1

Step 1: Since 789 > 458, we apply the division lemma to 789 and 458, to get

789 = 458 x 1 + 331

Step 2: Since the reminder 458 ≠ 0, we apply division lemma to 331 and 458, to get

458 = 331 x 1 + 127

Step 3: We consider the new divisor 331 and the new remainder 127, and apply the division lemma to get

331 = 127 x 2 + 77

We consider the new divisor 127 and the new remainder 77,and apply the division lemma to get

127 = 77 x 1 + 50

We consider the new divisor 77 and the new remainder 50,and apply the division lemma to get

77 = 50 x 1 + 27

We consider the new divisor 50 and the new remainder 27,and apply the division lemma to get

50 = 27 x 1 + 23

We consider the new divisor 27 and the new remainder 23,and apply the division lemma to get

27 = 23 x 1 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 458 and 789 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(27,23) = HCF(50,27) = HCF(77,50) = HCF(127,77) = HCF(331,127) = HCF(458,331) = HCF(789,458) .

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

Step 1: Since 888 > 1, we apply the division lemma to 888 and 1, to get

888 = 1 x 888 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 888 is 1

Notice that 1 = HCF(888,1) .

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Frequently Asked Questions on HCF of 458, 789, 888 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 458, 789, 888?

Answer: HCF of 458, 789, 888 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 458, 789, 888 using Euclid's Algorithm?

Answer: For arbitrary numbers 458, 789, 888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.