Highest Common Factor of 6289, 1267, 85142 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 6289, 1267, 85142 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6289, 1267, 85142 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 6289, 1267, 85142 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 6289, 1267, 85142 is 1.

HCF(6289, 1267, 85142) = 1

HCF of 6289, 1267, 85142 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 6289, 1267, 85142 is 1.

Highest Common Factor of 6289,1267,85142 using Euclid's algorithm

Highest Common Factor of 6289,1267,85142 is 1

Step 1: Since 6289 > 1267, we apply the division lemma to 6289 and 1267, to get

6289 = 1267 x 4 + 1221

Step 2: Since the reminder 1267 ≠ 0, we apply division lemma to 1221 and 1267, to get

1267 = 1221 x 1 + 46

Step 3: We consider the new divisor 1221 and the new remainder 46, and apply the division lemma to get

1221 = 46 x 26 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 6289 and 1267 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(1221,46) = HCF(1267,1221) = HCF(6289,1267) .

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

Step 1: Since 85142 > 1, we apply the division lemma to 85142 and 1, to get

85142 = 1 x 85142 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85142 is 1

Notice that 1 = HCF(85142,1) .

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Frequently Asked Questions on HCF of 6289, 1267, 85142 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 6289, 1267, 85142?

Answer: HCF of 6289, 1267, 85142 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6289, 1267, 85142 using Euclid's Algorithm?

Answer: For arbitrary numbers 6289, 1267, 85142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.