Highest Common Factor of 7867, 9585 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 7867, 9585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7867, 9585 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 7867, 9585 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 7867, 9585 is 1.

HCF(7867, 9585) = 1

HCF of 7867, 9585 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7867, 9585 is 1.

Highest Common Factor of 7867,9585 using Euclid's algorithm

Highest Common Factor of 7867,9585 is 1

Step 1: Since 9585 > 7867, we apply the division lemma to 9585 and 7867, to get

9585 = 7867 x 1 + 1718

Step 2: Since the reminder 7867 ≠ 0, we apply division lemma to 1718 and 7867, to get

7867 = 1718 x 4 + 995

Step 3: We consider the new divisor 1718 and the new remainder 995, and apply the division lemma to get

1718 = 995 x 1 + 723

We consider the new divisor 995 and the new remainder 723,and apply the division lemma to get

995 = 723 x 1 + 272

We consider the new divisor 723 and the new remainder 272,and apply the division lemma to get

723 = 272 x 2 + 179

We consider the new divisor 272 and the new remainder 179,and apply the division lemma to get

272 = 179 x 1 + 93

We consider the new divisor 179 and the new remainder 93,and apply the division lemma to get

179 = 93 x 1 + 86

We consider the new divisor 93 and the new remainder 86,and apply the division lemma to get

93 = 86 x 1 + 7

We consider the new divisor 86 and the new remainder 7,and apply the division lemma to get

86 = 7 x 12 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 7867 and 9585 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(86,7) = HCF(93,86) = HCF(179,93) = HCF(272,179) = HCF(723,272) = HCF(995,723) = HCF(1718,995) = HCF(7867,1718) = HCF(9585,7867) .

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Frequently Asked Questions on HCF of 7867, 9585 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 7867, 9585?

Answer: HCF of 7867, 9585 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7867, 9585 using Euclid's Algorithm?

Answer: For arbitrary numbers 7867, 9585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.