Highest Common Factor of 3719, 6000 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 3719, 6000 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3719, 6000 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 3719, 6000 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 3719, 6000 is 1.

HCF(3719, 6000) = 1

HCF of 3719, 6000 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 3719, 6000 is 1.

Highest Common Factor of 3719,6000 using Euclid's algorithm

Highest Common Factor of 3719,6000 is 1

Step 1: Since 6000 > 3719, we apply the division lemma to 6000 and 3719, to get

6000 = 3719 x 1 + 2281

Step 2: Since the reminder 3719 ≠ 0, we apply division lemma to 2281 and 3719, to get

3719 = 2281 x 1 + 1438

Step 3: We consider the new divisor 2281 and the new remainder 1438, and apply the division lemma to get

2281 = 1438 x 1 + 843

We consider the new divisor 1438 and the new remainder 843,and apply the division lemma to get

1438 = 843 x 1 + 595

We consider the new divisor 843 and the new remainder 595,and apply the division lemma to get

843 = 595 x 1 + 248

We consider the new divisor 595 and the new remainder 248,and apply the division lemma to get

595 = 248 x 2 + 99

We consider the new divisor 248 and the new remainder 99,and apply the division lemma to get

248 = 99 x 2 + 50

We consider the new divisor 99 and the new remainder 50,and apply the division lemma to get

99 = 50 x 1 + 49

We consider the new divisor 50 and the new remainder 49,and apply the division lemma to get

50 = 49 x 1 + 1

We consider the new divisor 49 and the new remainder 1,and apply the division lemma to get

49 = 1 x 49 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3719 and 6000 is 1

Notice that 1 = HCF(49,1) = HCF(50,49) = HCF(99,50) = HCF(248,99) = HCF(595,248) = HCF(843,595) = HCF(1438,843) = HCF(2281,1438) = HCF(3719,2281) = HCF(6000,3719) .

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Frequently Asked Questions on HCF of 3719, 6000 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 3719, 6000?

Answer: HCF of 3719, 6000 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3719, 6000 using Euclid's Algorithm?

Answer: For arbitrary numbers 3719, 6000 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.