Highest Common Factor of 731, 463, 986 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 731, 463, 986 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 731, 463, 986 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 731, 463, 986 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 731, 463, 986 is 1.

HCF(731, 463, 986) = 1

HCF of 731, 463, 986 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 731, 463, 986 is 1.

Highest Common Factor of 731,463,986 using Euclid's algorithm

Highest Common Factor of 731,463,986 is 1

Step 1: Since 731 > 463, we apply the division lemma to 731 and 463, to get

731 = 463 x 1 + 268

Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 268 and 463, to get

463 = 268 x 1 + 195

Step 3: We consider the new divisor 268 and the new remainder 195, and apply the division lemma to get

268 = 195 x 1 + 73

We consider the new divisor 195 and the new remainder 73,and apply the division lemma to get

195 = 73 x 2 + 49

We consider the new divisor 73 and the new remainder 49,and apply the division lemma to get

73 = 49 x 1 + 24

We consider the new divisor 49 and the new remainder 24,and apply the division lemma to get

49 = 24 x 2 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 731 and 463 is 1

Notice that 1 = HCF(24,1) = HCF(49,24) = HCF(73,49) = HCF(195,73) = HCF(268,195) = HCF(463,268) = HCF(731,463) .

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

Step 1: Since 986 > 1, we apply the division lemma to 986 and 1, to get

986 = 1 x 986 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 986 is 1

Notice that 1 = HCF(986,1) .

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Frequently Asked Questions on HCF of 731, 463, 986 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 731, 463, 986?

Answer: HCF of 731, 463, 986 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 731, 463, 986 using Euclid's Algorithm?

Answer: For arbitrary numbers 731, 463, 986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.