Highest Common Factor of 838, 600, 619 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, 600, 619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 838, 600, 619 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, 600, 619 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, 600, 619 is 1.

HCF(838, 600, 619) = 1

HCF of 838, 600, 619 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, 600, 619 is 1.

Highest Common Factor of 838,600,619 using Euclid's algorithm

Highest Common Factor of 838,600,619 is 1

Step 1: Since 838 > 600, we apply the division lemma to 838 and 600, to get

838 = 600 x 1 + 238

Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 238 and 600, to get

600 = 238 x 2 + 124

Step 3: We consider the new divisor 238 and the new remainder 124, and apply the division lemma to get

238 = 124 x 1 + 114

We consider the new divisor 124 and the new remainder 114,and apply the division lemma to get

124 = 114 x 1 + 10

We consider the new divisor 114 and the new remainder 10,and apply the division lemma to get

114 = 10 x 11 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 838 and 600 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(114,10) = HCF(124,114) = HCF(238,124) = HCF(600,238) = HCF(838,600) .

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

Step 1: Since 619 > 2, we apply the division lemma to 619 and 2, to get

619 = 2 x 309 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 619 is 1

Notice that 1 = HCF(2,1) = HCF(619,2) .

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, 600, 619 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, 600, 619?

Answer: HCF of 838, 600, 619 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 838, 600, 619 using Euclid's Algorithm?

Answer: For arbitrary numbers 838, 600, 619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.