Highest Common Factor of 269, 676, 836, 585 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 269, 676, 836, 585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 269, 676, 836, 585 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 269, 676, 836, 585 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 269, 676, 836, 585 is 1.

HCF(269, 676, 836, 585) = 1

HCF of 269, 676, 836, 585 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 269, 676, 836, 585 is 1.

Highest Common Factor of 269,676,836,585 using Euclid's algorithm

Highest Common Factor of 269,676,836,585 is 1

Step 1: Since 676 > 269, we apply the division lemma to 676 and 269, to get

676 = 269 x 2 + 138

Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 138 and 269, to get

269 = 138 x 1 + 131

Step 3: We consider the new divisor 138 and the new remainder 131, and apply the division lemma to get

138 = 131 x 1 + 7

We consider the new divisor 131 and the new remainder 7,and apply the division lemma to get

131 = 7 x 18 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 269 and 676 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(131,7) = HCF(138,131) = HCF(269,138) = HCF(676,269) .

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

Step 1: Since 836 > 1, we apply the division lemma to 836 and 1, to get

836 = 1 x 836 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 836 is 1

Notice that 1 = HCF(836,1) .

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

Step 1: Since 585 > 1, we apply the division lemma to 585 and 1, to get

585 = 1 x 585 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 585 is 1

Notice that 1 = HCF(585,1) .

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Frequently Asked Questions on HCF of 269, 676, 836, 585 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 269, 676, 836, 585?

Answer: HCF of 269, 676, 836, 585 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 269, 676, 836, 585 using Euclid's Algorithm?

Answer: For arbitrary numbers 269, 676, 836, 585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.