Highest Common Factor of 457, 719, 193 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 457, 719, 193 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 457, 719, 193 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 457, 719, 193 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 457, 719, 193 is 1.

HCF(457, 719, 193) = 1

HCF of 457, 719, 193 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 457, 719, 193 is 1.

Highest Common Factor of 457,719,193 using Euclid's algorithm

Highest Common Factor of 457,719,193 is 1

Step 1: Since 719 > 457, we apply the division lemma to 719 and 457, to get

719 = 457 x 1 + 262

Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 262 and 457, to get

457 = 262 x 1 + 195

Step 3: We consider the new divisor 262 and the new remainder 195, and apply the division lemma to get

262 = 195 x 1 + 67

We consider the new divisor 195 and the new remainder 67,and apply the division lemma to get

195 = 67 x 2 + 61

We consider the new divisor 67 and the new remainder 61,and apply the division lemma to get

67 = 61 x 1 + 6

We consider the new divisor 61 and the new remainder 6,and apply the division lemma to get

61 = 6 x 10 + 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 457 and 719 is 1

Notice that 1 = HCF(6,1) = HCF(61,6) = HCF(67,61) = HCF(195,67) = HCF(262,195) = HCF(457,262) = HCF(719,457) .

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

Step 1: Since 193 > 1, we apply the division lemma to 193 and 1, to get

193 = 1 x 193 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 193 is 1

Notice that 1 = HCF(193,1) .

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Frequently Asked Questions on HCF of 457, 719, 193 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 457, 719, 193?

Answer: HCF of 457, 719, 193 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 457, 719, 193 using Euclid's Algorithm?

Answer: For arbitrary numbers 457, 719, 193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.