Highest Common Factor of 719, 3380 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 719, 3380 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 719, 3380 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 719, 3380 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 719, 3380 is 1.

HCF(719, 3380) = 1

HCF of 719, 3380 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 719, 3380 is 1.

Highest Common Factor of 719,3380 using Euclid's algorithm

Highest Common Factor of 719,3380 is 1

Step 1: Since 3380 > 719, we apply the division lemma to 3380 and 719, to get

3380 = 719 x 4 + 504

Step 2: Since the reminder 719 ≠ 0, we apply division lemma to 504 and 719, to get

719 = 504 x 1 + 215

Step 3: We consider the new divisor 504 and the new remainder 215, and apply the division lemma to get

504 = 215 x 2 + 74

We consider the new divisor 215 and the new remainder 74,and apply the division lemma to get

215 = 74 x 2 + 67

We consider the new divisor 74 and the new remainder 67,and apply the division lemma to get

74 = 67 x 1 + 7

We consider the new divisor 67 and the new remainder 7,and apply the division lemma to get

67 = 7 x 9 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 719 and 3380 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(67,7) = HCF(74,67) = HCF(215,74) = HCF(504,215) = HCF(719,504) = HCF(3380,719) .

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Frequently Asked Questions on HCF of 719, 3380 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 719, 3380?

Answer: HCF of 719, 3380 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 719, 3380 using Euclid's Algorithm?

Answer: For arbitrary numbers 719, 3380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.