Highest Common Factor of 712, 53193 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 712, 53193 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 712, 53193 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 712, 53193 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 712, 53193 is 1.

HCF(712, 53193) = 1

HCF of 712, 53193 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 712, 53193 is 1.

Highest Common Factor of 712,53193 using Euclid's algorithm

Highest Common Factor of 712,53193 is 1

Step 1: Since 53193 > 712, we apply the division lemma to 53193 and 712, to get

53193 = 712 x 74 + 505

Step 2: Since the reminder 712 ≠ 0, we apply division lemma to 505 and 712, to get

712 = 505 x 1 + 207

Step 3: We consider the new divisor 505 and the new remainder 207, and apply the division lemma to get

505 = 207 x 2 + 91

We consider the new divisor 207 and the new remainder 91,and apply the division lemma to get

207 = 91 x 2 + 25

We consider the new divisor 91 and the new remainder 25,and apply the division lemma to get

91 = 25 x 3 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 712 and 53193 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(91,25) = HCF(207,91) = HCF(505,207) = HCF(712,505) = HCF(53193,712) .

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Frequently Asked Questions on HCF of 712, 53193 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 712, 53193?

Answer: HCF of 712, 53193 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 712, 53193 using Euclid's Algorithm?

Answer: For arbitrary numbers 712, 53193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.