Highest Common Factor of 5095, 3219 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 5095, 3219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5095, 3219 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 5095, 3219 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 5095, 3219 is 1.

HCF(5095, 3219) = 1

HCF of 5095, 3219 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 5095, 3219 is 1.

Highest Common Factor of 5095,3219 using Euclid's algorithm

Highest Common Factor of 5095,3219 is 1

Step 1: Since 5095 > 3219, we apply the division lemma to 5095 and 3219, to get

5095 = 3219 x 1 + 1876

Step 2: Since the reminder 3219 ≠ 0, we apply division lemma to 1876 and 3219, to get

3219 = 1876 x 1 + 1343

Step 3: We consider the new divisor 1876 and the new remainder 1343, and apply the division lemma to get

1876 = 1343 x 1 + 533

We consider the new divisor 1343 and the new remainder 533,and apply the division lemma to get

1343 = 533 x 2 + 277

We consider the new divisor 533 and the new remainder 277,and apply the division lemma to get

533 = 277 x 1 + 256

We consider the new divisor 277 and the new remainder 256,and apply the division lemma to get

277 = 256 x 1 + 21

We consider the new divisor 256 and the new remainder 21,and apply the division lemma to get

256 = 21 x 12 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5095 and 3219 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(256,21) = HCF(277,256) = HCF(533,277) = HCF(1343,533) = HCF(1876,1343) = HCF(3219,1876) = HCF(5095,3219) .

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Frequently Asked Questions on HCF of 5095, 3219 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 5095, 3219?

Answer: HCF of 5095, 3219 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5095, 3219 using Euclid's Algorithm?

Answer: For arbitrary numbers 5095, 3219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.