Highest Common Factor of 358, 579, 965 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 358, 579, 965 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 358, 579, 965 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 358, 579, 965 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 358, 579, 965 is 1.

HCF(358, 579, 965) = 1

HCF of 358, 579, 965 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 358, 579, 965 is 1.

Highest Common Factor of 358,579,965 using Euclid's algorithm

Highest Common Factor of 358,579,965 is 1

Step 1: Since 579 > 358, we apply the division lemma to 579 and 358, to get

579 = 358 x 1 + 221

Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 221 and 358, to get

358 = 221 x 1 + 137

Step 3: We consider the new divisor 221 and the new remainder 137, and apply the division lemma to get

221 = 137 x 1 + 84

We consider the new divisor 137 and the new remainder 84,and apply the division lemma to get

137 = 84 x 1 + 53

We consider the new divisor 84 and the new remainder 53,and apply the division lemma to get

84 = 53 x 1 + 31

We consider the new divisor 53 and the new remainder 31,and apply the division lemma to get

53 = 31 x 1 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 358 and 579 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(53,31) = HCF(84,53) = HCF(137,84) = HCF(221,137) = HCF(358,221) = HCF(579,358) .

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

Step 1: Since 965 > 1, we apply the division lemma to 965 and 1, to get

965 = 1 x 965 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 965 is 1

Notice that 1 = HCF(965,1) .

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Frequently Asked Questions on HCF of 358, 579, 965 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 358, 579, 965?

Answer: HCF of 358, 579, 965 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 358, 579, 965 using Euclid's Algorithm?

Answer: For arbitrary numbers 358, 579, 965 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.