Highest Common Factor of 565, 950, 189, 26 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 565, 950, 189, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 565, 950, 189, 26 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 565, 950, 189, 26 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 565, 950, 189, 26 is 1.

HCF(565, 950, 189, 26) = 1

HCF of 565, 950, 189, 26 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 565, 950, 189, 26 is 1.

Highest Common Factor of 565,950,189,26 using Euclid's algorithm

Highest Common Factor of 565,950,189,26 is 1

Step 1: Since 950 > 565, we apply the division lemma to 950 and 565, to get

950 = 565 x 1 + 385

Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 385 and 565, to get

565 = 385 x 1 + 180

Step 3: We consider the new divisor 385 and the new remainder 180, and apply the division lemma to get

385 = 180 x 2 + 25

We consider the new divisor 180 and the new remainder 25,and apply the division lemma to get

180 = 25 x 7 + 5

We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get

25 = 5 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 565 and 950 is 5

Notice that 5 = HCF(25,5) = HCF(180,25) = HCF(385,180) = HCF(565,385) = HCF(950,565) .

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

Step 1: Since 189 > 5, we apply the division lemma to 189 and 5, to get

189 = 5 x 37 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 189 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(189,5) .

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

Step 1: Since 26 > 1, we apply the division lemma to 26 and 1, to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26 is 1

Notice that 1 = HCF(26,1) .

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Frequently Asked Questions on HCF of 565, 950, 189, 26 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 565, 950, 189, 26?

Answer: HCF of 565, 950, 189, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 565, 950, 189, 26 using Euclid's Algorithm?

Answer: For arbitrary numbers 565, 950, 189, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.