Highest Common Factor of 838, 511, 430 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 838, 511, 430 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 838, 511, 430 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 838, 511, 430 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 838, 511, 430 is 1.

HCF(838, 511, 430) = 1

HCF of 838, 511, 430 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 838, 511, 430 is 1.

Highest Common Factor of 838,511,430 using Euclid's algorithm

Highest Common Factor of 838,511,430 is 1

Step 1: Since 838 > 511, we apply the division lemma to 838 and 511, to get

838 = 511 x 1 + 327

Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 327 and 511, to get

511 = 327 x 1 + 184

Step 3: We consider the new divisor 327 and the new remainder 184, and apply the division lemma to get

327 = 184 x 1 + 143

We consider the new divisor 184 and the new remainder 143,and apply the division lemma to get

184 = 143 x 1 + 41

We consider the new divisor 143 and the new remainder 41,and apply the division lemma to get

143 = 41 x 3 + 20

We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get

41 = 20 x 2 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 838 and 511 is 1

Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(143,41) = HCF(184,143) = HCF(327,184) = HCF(511,327) = HCF(838,511) .

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

Step 1: Since 430 > 1, we apply the division lemma to 430 and 1, to get

430 = 1 x 430 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 430 is 1

Notice that 1 = HCF(430,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 838, 511, 430 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 838, 511, 430?

Answer: HCF of 838, 511, 430 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 838, 511, 430 using Euclid's Algorithm?

Answer: For arbitrary numbers 838, 511, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.