Highest Common Factor of 7085, 6288, 51230 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 7085, 6288, 51230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7085, 6288, 51230 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 7085, 6288, 51230 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 7085, 6288, 51230 is 1.

HCF(7085, 6288, 51230) = 1

HCF of 7085, 6288, 51230 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 7085, 6288, 51230 is 1.

Highest Common Factor of 7085,6288,51230 using Euclid's algorithm

Highest Common Factor of 7085,6288,51230 is 1

Step 1: Since 7085 > 6288, we apply the division lemma to 7085 and 6288, to get

7085 = 6288 x 1 + 797

Step 2: Since the reminder 6288 ≠ 0, we apply division lemma to 797 and 6288, to get

6288 = 797 x 7 + 709

Step 3: We consider the new divisor 797 and the new remainder 709, and apply the division lemma to get

797 = 709 x 1 + 88

We consider the new divisor 709 and the new remainder 88,and apply the division lemma to get

709 = 88 x 8 + 5

We consider the new divisor 88 and the new remainder 5,and apply the division lemma to get

88 = 5 x 17 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 7085 and 6288 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(88,5) = HCF(709,88) = HCF(797,709) = HCF(6288,797) = HCF(7085,6288) .

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

Step 1: Since 51230 > 1, we apply the division lemma to 51230 and 1, to get

51230 = 1 x 51230 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 51230 is 1

Notice that 1 = HCF(51230,1) .

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Frequently Asked Questions on HCF of 7085, 6288, 51230 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 7085, 6288, 51230?

Answer: HCF of 7085, 6288, 51230 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7085, 6288, 51230 using Euclid's Algorithm?

Answer: For arbitrary numbers 7085, 6288, 51230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.