Highest Common Factor of 7767, 2086 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 7767, 2086 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7767, 2086 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 7767, 2086 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 7767, 2086 is 1.

HCF(7767, 2086) = 1

HCF of 7767, 2086 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 7767, 2086 is 1.

Highest Common Factor of 7767,2086 using Euclid's algorithm

Highest Common Factor of 7767,2086 is 1

Step 1: Since 7767 > 2086, we apply the division lemma to 7767 and 2086, to get

7767 = 2086 x 3 + 1509

Step 2: Since the reminder 2086 ≠ 0, we apply division lemma to 1509 and 2086, to get

2086 = 1509 x 1 + 577

Step 3: We consider the new divisor 1509 and the new remainder 577, and apply the division lemma to get

1509 = 577 x 2 + 355

We consider the new divisor 577 and the new remainder 355,and apply the division lemma to get

577 = 355 x 1 + 222

We consider the new divisor 355 and the new remainder 222,and apply the division lemma to get

355 = 222 x 1 + 133

We consider the new divisor 222 and the new remainder 133,and apply the division lemma to get

222 = 133 x 1 + 89

We consider the new divisor 133 and the new remainder 89,and apply the division lemma to get

133 = 89 x 1 + 44

We consider the new divisor 89 and the new remainder 44,and apply the division lemma to get

89 = 44 x 2 + 1

We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get

44 = 1 x 44 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7767 and 2086 is 1

Notice that 1 = HCF(44,1) = HCF(89,44) = HCF(133,89) = HCF(222,133) = HCF(355,222) = HCF(577,355) = HCF(1509,577) = HCF(2086,1509) = HCF(7767,2086) .

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Frequently Asked Questions on HCF of 7767, 2086 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 7767, 2086?

Answer: HCF of 7767, 2086 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7767, 2086 using Euclid's Algorithm?

Answer: For arbitrary numbers 7767, 2086 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.