Highest Common Factor of 962, 599, 865 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 962, 599, 865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 962, 599, 865 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 962, 599, 865 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 962, 599, 865 is 1.

HCF(962, 599, 865) = 1

HCF of 962, 599, 865 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 962, 599, 865 is 1.

Highest Common Factor of 962,599,865 using Euclid's algorithm

Highest Common Factor of 962,599,865 is 1

Step 1: Since 962 > 599, we apply the division lemma to 962 and 599, to get

962 = 599 x 1 + 363

Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 363 and 599, to get

599 = 363 x 1 + 236

Step 3: We consider the new divisor 363 and the new remainder 236, and apply the division lemma to get

363 = 236 x 1 + 127

We consider the new divisor 236 and the new remainder 127,and apply the division lemma to get

236 = 127 x 1 + 109

We consider the new divisor 127 and the new remainder 109,and apply the division lemma to get

127 = 109 x 1 + 18

We consider the new divisor 109 and the new remainder 18,and apply the division lemma to get

109 = 18 x 6 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 962 and 599 is 1

Notice that 1 = HCF(18,1) = HCF(109,18) = HCF(127,109) = HCF(236,127) = HCF(363,236) = HCF(599,363) = HCF(962,599) .

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

Step 1: Since 865 > 1, we apply the division lemma to 865 and 1, to get

865 = 1 x 865 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 865 is 1

Notice that 1 = HCF(865,1) .

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Frequently Asked Questions on HCF of 962, 599, 865 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 962, 599, 865?

Answer: HCF of 962, 599, 865 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 962, 599, 865 using Euclid's Algorithm?

Answer: For arbitrary numbers 962, 599, 865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.