Highest Common Factor of 5959, 6630, 34794 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 5959, 6630, 34794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5959, 6630, 34794 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 5959, 6630, 34794 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 5959, 6630, 34794 is 1.

HCF(5959, 6630, 34794) = 1

HCF of 5959, 6630, 34794 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 5959, 6630, 34794 is 1.

Highest Common Factor of 5959,6630,34794 using Euclid's algorithm

Highest Common Factor of 5959,6630,34794 is 1

Step 1: Since 6630 > 5959, we apply the division lemma to 6630 and 5959, to get

6630 = 5959 x 1 + 671

Step 2: Since the reminder 5959 ≠ 0, we apply division lemma to 671 and 5959, to get

5959 = 671 x 8 + 591

Step 3: We consider the new divisor 671 and the new remainder 591, and apply the division lemma to get

671 = 591 x 1 + 80

We consider the new divisor 591 and the new remainder 80,and apply the division lemma to get

591 = 80 x 7 + 31

We consider the new divisor 80 and the new remainder 31,and apply the division lemma to get

80 = 31 x 2 + 18

We consider the new divisor 31 and the new remainder 18,and apply the division lemma to get

31 = 18 x 1 + 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 5959 and 6630 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(31,18) = HCF(80,31) = HCF(591,80) = HCF(671,591) = HCF(5959,671) = HCF(6630,5959) .

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

Step 1: Since 34794 > 1, we apply the division lemma to 34794 and 1, to get

34794 = 1 x 34794 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 34794 is 1

Notice that 1 = HCF(34794,1) .

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Frequently Asked Questions on HCF of 5959, 6630, 34794 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 5959, 6630, 34794?

Answer: HCF of 5959, 6630, 34794 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5959, 6630, 34794 using Euclid's Algorithm?

Answer: For arbitrary numbers 5959, 6630, 34794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.