Highest Common Factor of 6083, 1941, 79835 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 6083, 1941, 79835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6083, 1941, 79835 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 6083, 1941, 79835 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 6083, 1941, 79835 is 1.

HCF(6083, 1941, 79835) = 1

HCF of 6083, 1941, 79835 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 6083, 1941, 79835 is 1.

Highest Common Factor of 6083,1941,79835 using Euclid's algorithm

Highest Common Factor of 6083,1941,79835 is 1

Step 1: Since 6083 > 1941, we apply the division lemma to 6083 and 1941, to get

6083 = 1941 x 3 + 260

Step 2: Since the reminder 1941 ≠ 0, we apply division lemma to 260 and 1941, to get

1941 = 260 x 7 + 121

Step 3: We consider the new divisor 260 and the new remainder 121, and apply the division lemma to get

260 = 121 x 2 + 18

We consider the new divisor 121 and the new remainder 18,and apply the division lemma to get

121 = 18 x 6 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 6083 and 1941 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(121,18) = HCF(260,121) = HCF(1941,260) = HCF(6083,1941) .

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

Step 1: Since 79835 > 1, we apply the division lemma to 79835 and 1, to get

79835 = 1 x 79835 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79835 is 1

Notice that 1 = HCF(79835,1) .

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Frequently Asked Questions on HCF of 6083, 1941, 79835 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 6083, 1941, 79835?

Answer: HCF of 6083, 1941, 79835 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6083, 1941, 79835 using Euclid's Algorithm?

Answer: For arbitrary numbers 6083, 1941, 79835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.