Highest Common Factor of 1063, 2814, 70947 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 1063, 2814, 70947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1063, 2814, 70947 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 1063, 2814, 70947 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 1063, 2814, 70947 is 1.

HCF(1063, 2814, 70947) = 1

HCF of 1063, 2814, 70947 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 1063, 2814, 70947 is 1.

Highest Common Factor of 1063,2814,70947 using Euclid's algorithm

Highest Common Factor of 1063,2814,70947 is 1

Step 1: Since 2814 > 1063, we apply the division lemma to 2814 and 1063, to get

2814 = 1063 x 2 + 688

Step 2: Since the reminder 1063 ≠ 0, we apply division lemma to 688 and 1063, to get

1063 = 688 x 1 + 375

Step 3: We consider the new divisor 688 and the new remainder 375, and apply the division lemma to get

688 = 375 x 1 + 313

We consider the new divisor 375 and the new remainder 313,and apply the division lemma to get

375 = 313 x 1 + 62

We consider the new divisor 313 and the new remainder 62,and apply the division lemma to get

313 = 62 x 5 + 3

We consider the new divisor 62 and the new remainder 3,and apply the division lemma to get

62 = 3 x 20 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1063 and 2814 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(62,3) = HCF(313,62) = HCF(375,313) = HCF(688,375) = HCF(1063,688) = HCF(2814,1063) .

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

Step 1: Since 70947 > 1, we apply the division lemma to 70947 and 1, to get

70947 = 1 x 70947 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70947 is 1

Notice that 1 = HCF(70947,1) .

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Frequently Asked Questions on HCF of 1063, 2814, 70947 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 1063, 2814, 70947?

Answer: HCF of 1063, 2814, 70947 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1063, 2814, 70947 using Euclid's Algorithm?

Answer: For arbitrary numbers 1063, 2814, 70947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.