Highest Common Factor of 433, 676, 879, 592 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 433, 676, 879, 592 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 433, 676, 879, 592 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 433, 676, 879, 592 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 433, 676, 879, 592 is 1.

HCF(433, 676, 879, 592) = 1

HCF of 433, 676, 879, 592 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 433, 676, 879, 592 is 1.

Highest Common Factor of 433,676,879,592 using Euclid's algorithm

Highest Common Factor of 433,676,879,592 is 1

Step 1: Since 676 > 433, we apply the division lemma to 676 and 433, to get

676 = 433 x 1 + 243

Step 2: Since the reminder 433 ≠ 0, we apply division lemma to 243 and 433, to get

433 = 243 x 1 + 190

Step 3: We consider the new divisor 243 and the new remainder 190, and apply the division lemma to get

243 = 190 x 1 + 53

We consider the new divisor 190 and the new remainder 53,and apply the division lemma to get

190 = 53 x 3 + 31

We consider the new divisor 53 and the new remainder 31,and apply the division lemma to get

53 = 31 x 1 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 433 and 676 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(53,31) = HCF(190,53) = HCF(243,190) = HCF(433,243) = HCF(676,433) .

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

Step 1: Since 879 > 1, we apply the division lemma to 879 and 1, to get

879 = 1 x 879 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 879 is 1

Notice that 1 = HCF(879,1) .

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

Step 1: Since 592 > 1, we apply the division lemma to 592 and 1, to get

592 = 1 x 592 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 592 is 1

Notice that 1 = HCF(592,1) .

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Frequently Asked Questions on HCF of 433, 676, 879, 592 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 433, 676, 879, 592?

Answer: HCF of 433, 676, 879, 592 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 433, 676, 879, 592 using Euclid's Algorithm?

Answer: For arbitrary numbers 433, 676, 879, 592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.