Highest Common Factor of 393, 910, 692 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 393, 910, 692 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 393, 910, 692 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 393, 910, 692 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 393, 910, 692 is 1.

HCF(393, 910, 692) = 1

HCF of 393, 910, 692 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 393, 910, 692 is 1.

Highest Common Factor of 393,910,692 using Euclid's algorithm

Highest Common Factor of 393,910,692 is 1

Step 1: Since 910 > 393, we apply the division lemma to 910 and 393, to get

910 = 393 x 2 + 124

Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 124 and 393, to get

393 = 124 x 3 + 21

Step 3: We consider the new divisor 124 and the new remainder 21, and apply the division lemma to get

124 = 21 x 5 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 393 and 910 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(124,21) = HCF(393,124) = HCF(910,393) .

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

Step 1: Since 692 > 1, we apply the division lemma to 692 and 1, to get

692 = 1 x 692 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 692 is 1

Notice that 1 = HCF(692,1) .

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Frequently Asked Questions on HCF of 393, 910, 692 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 393, 910, 692?

Answer: HCF of 393, 910, 692 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 393, 910, 692 using Euclid's Algorithm?

Answer: For arbitrary numbers 393, 910, 692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.