Highest Common Factor of 521, 1316, 1595 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 521, 1316, 1595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 521, 1316, 1595 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 521, 1316, 1595 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 521, 1316, 1595 is 1.

HCF(521, 1316, 1595) = 1

HCF of 521, 1316, 1595 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 521, 1316, 1595 is 1.

Highest Common Factor of 521,1316,1595 using Euclid's algorithm

Highest Common Factor of 521,1316,1595 is 1

Step 1: Since 1316 > 521, we apply the division lemma to 1316 and 521, to get

1316 = 521 x 2 + 274

Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 274 and 521, to get

521 = 274 x 1 + 247

Step 3: We consider the new divisor 274 and the new remainder 247, and apply the division lemma to get

274 = 247 x 1 + 27

We consider the new divisor 247 and the new remainder 27,and apply the division lemma to get

247 = 27 x 9 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 521 and 1316 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(247,27) = HCF(274,247) = HCF(521,274) = HCF(1316,521) .

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

Step 1: Since 1595 > 1, we apply the division lemma to 1595 and 1, to get

1595 = 1 x 1595 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1595 is 1

Notice that 1 = HCF(1595,1) .

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Frequently Asked Questions on HCF of 521, 1316, 1595 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 521, 1316, 1595?

Answer: HCF of 521, 1316, 1595 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 521, 1316, 1595 using Euclid's Algorithm?

Answer: For arbitrary numbers 521, 1316, 1595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.