Highest Common Factor of 6958, 3821, 92956 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 6958, 3821, 92956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6958, 3821, 92956 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 6958, 3821, 92956 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 6958, 3821, 92956 is 1.

HCF(6958, 3821, 92956) = 1

HCF of 6958, 3821, 92956 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 6958, 3821, 92956 is 1.

Highest Common Factor of 6958,3821,92956 using Euclid's algorithm

Highest Common Factor of 6958,3821,92956 is 1

Step 1: Since 6958 > 3821, we apply the division lemma to 6958 and 3821, to get

6958 = 3821 x 1 + 3137

Step 2: Since the reminder 3821 ≠ 0, we apply division lemma to 3137 and 3821, to get

3821 = 3137 x 1 + 684

Step 3: We consider the new divisor 3137 and the new remainder 684, and apply the division lemma to get

3137 = 684 x 4 + 401

We consider the new divisor 684 and the new remainder 401,and apply the division lemma to get

684 = 401 x 1 + 283

We consider the new divisor 401 and the new remainder 283,and apply the division lemma to get

401 = 283 x 1 + 118

We consider the new divisor 283 and the new remainder 118,and apply the division lemma to get

283 = 118 x 2 + 47

We consider the new divisor 118 and the new remainder 47,and apply the division lemma to get

118 = 47 x 2 + 24

We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get

47 = 24 x 1 + 23

We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get

24 = 23 x 1 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6958 and 3821 is 1

Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(118,47) = HCF(283,118) = HCF(401,283) = HCF(684,401) = HCF(3137,684) = HCF(3821,3137) = HCF(6958,3821) .

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

Step 1: Since 92956 > 1, we apply the division lemma to 92956 and 1, to get

92956 = 1 x 92956 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92956 is 1

Notice that 1 = HCF(92956,1) .

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Frequently Asked Questions on HCF of 6958, 3821, 92956 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 6958, 3821, 92956?

Answer: HCF of 6958, 3821, 92956 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6958, 3821, 92956 using Euclid's Algorithm?

Answer: For arbitrary numbers 6958, 3821, 92956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.