Highest Common Factor of 1253, 4661, 92986 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 1253, 4661, 92986 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1253, 4661, 92986 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 1253, 4661, 92986 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 1253, 4661, 92986 is 1.

HCF(1253, 4661, 92986) = 1

HCF of 1253, 4661, 92986 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 1253, 4661, 92986 is 1.

Highest Common Factor of 1253,4661,92986 using Euclid's algorithm

Highest Common Factor of 1253,4661,92986 is 1

Step 1: Since 4661 > 1253, we apply the division lemma to 4661 and 1253, to get

4661 = 1253 x 3 + 902

Step 2: Since the reminder 1253 ≠ 0, we apply division lemma to 902 and 1253, to get

1253 = 902 x 1 + 351

Step 3: We consider the new divisor 902 and the new remainder 351, and apply the division lemma to get

902 = 351 x 2 + 200

We consider the new divisor 351 and the new remainder 200,and apply the division lemma to get

351 = 200 x 1 + 151

We consider the new divisor 200 and the new remainder 151,and apply the division lemma to get

200 = 151 x 1 + 49

We consider the new divisor 151 and the new remainder 49,and apply the division lemma to get

151 = 49 x 3 + 4

We consider the new divisor 49 and the new remainder 4,and apply the division lemma to get

49 = 4 x 12 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1253 and 4661 is 1

Notice that 1 = HCF(4,1) = HCF(49,4) = HCF(151,49) = HCF(200,151) = HCF(351,200) = HCF(902,351) = HCF(1253,902) = HCF(4661,1253) .

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

Step 1: Since 92986 > 1, we apply the division lemma to 92986 and 1, to get

92986 = 1 x 92986 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92986 is 1

Notice that 1 = HCF(92986,1) .

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Frequently Asked Questions on HCF of 1253, 4661, 92986 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 1253, 4661, 92986?

Answer: HCF of 1253, 4661, 92986 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1253, 4661, 92986 using Euclid's Algorithm?

Answer: For arbitrary numbers 1253, 4661, 92986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.