Highest Common Factor of 958, 562, 532 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 958, 562, 532 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 958, 562, 532 is 2 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 958, 562, 532 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 958, 562, 532 is 2.

HCF(958, 562, 532) = 2

HCF of 958, 562, 532 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 958, 562, 532 is 2.

Highest Common Factor of 958,562,532 using Euclid's algorithm

Highest Common Factor of 958,562,532 is 2

Step 1: Since 958 > 562, we apply the division lemma to 958 and 562, to get

958 = 562 x 1 + 396

Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 396 and 562, to get

562 = 396 x 1 + 166

Step 3: We consider the new divisor 396 and the new remainder 166, and apply the division lemma to get

396 = 166 x 2 + 64

We consider the new divisor 166 and the new remainder 64,and apply the division lemma to get

166 = 64 x 2 + 38

We consider the new divisor 64 and the new remainder 38,and apply the division lemma to get

64 = 38 x 1 + 26

We consider the new divisor 38 and the new remainder 26,and apply the division lemma to get

38 = 26 x 1 + 12

We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get

26 = 12 x 2 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 958 and 562 is 2

Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(38,26) = HCF(64,38) = HCF(166,64) = HCF(396,166) = HCF(562,396) = HCF(958,562) .

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

Step 1: Since 532 > 2, we apply the division lemma to 532 and 2, to get

532 = 2 x 266 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 532 is 2

Notice that 2 = HCF(532,2) .

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Frequently Asked Questions on HCF of 958, 562, 532 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 958, 562, 532?

Answer: HCF of 958, 562, 532 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 958, 562, 532 using Euclid's Algorithm?

Answer: For arbitrary numbers 958, 562, 532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.