Highest Common Factor of 965, 558, 299, 861 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 965, 558, 299, 861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 965, 558, 299, 861 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 965, 558, 299, 861 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 965, 558, 299, 861 is 1.

HCF(965, 558, 299, 861) = 1

HCF of 965, 558, 299, 861 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 965, 558, 299, 861 is 1.

Highest Common Factor of 965,558,299,861 using Euclid's algorithm

Highest Common Factor of 965,558,299,861 is 1

Step 1: Since 965 > 558, we apply the division lemma to 965 and 558, to get

965 = 558 x 1 + 407

Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 407 and 558, to get

558 = 407 x 1 + 151

Step 3: We consider the new divisor 407 and the new remainder 151, and apply the division lemma to get

407 = 151 x 2 + 105

We consider the new divisor 151 and the new remainder 105,and apply the division lemma to get

151 = 105 x 1 + 46

We consider the new divisor 105 and the new remainder 46,and apply the division lemma to get

105 = 46 x 2 + 13

We consider the new divisor 46 and the new remainder 13,and apply the division lemma to get

46 = 13 x 3 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 965 and 558 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(46,13) = HCF(105,46) = HCF(151,105) = HCF(407,151) = HCF(558,407) = HCF(965,558) .

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

Step 1: Since 299 > 1, we apply the division lemma to 299 and 1, to get

299 = 1 x 299 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 299 is 1

Notice that 1 = HCF(299,1) .

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

Step 1: Since 861 > 1, we apply the division lemma to 861 and 1, to get

861 = 1 x 861 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 861 is 1

Notice that 1 = HCF(861,1) .

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Frequently Asked Questions on HCF of 965, 558, 299, 861 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 965, 558, 299, 861?

Answer: HCF of 965, 558, 299, 861 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 965, 558, 299, 861 using Euclid's Algorithm?

Answer: For arbitrary numbers 965, 558, 299, 861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.