Highest Common Factor of 5680, 8077 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 5680, 8077 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5680, 8077 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 5680, 8077 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 5680, 8077 is 1.

HCF(5680, 8077) = 1

HCF of 5680, 8077 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 5680, 8077 is 1.

Highest Common Factor of 5680,8077 using Euclid's algorithm

Highest Common Factor of 5680,8077 is 1

Step 1: Since 8077 > 5680, we apply the division lemma to 8077 and 5680, to get

8077 = 5680 x 1 + 2397

Step 2: Since the reminder 5680 ≠ 0, we apply division lemma to 2397 and 5680, to get

5680 = 2397 x 2 + 886

Step 3: We consider the new divisor 2397 and the new remainder 886, and apply the division lemma to get

2397 = 886 x 2 + 625

We consider the new divisor 886 and the new remainder 625,and apply the division lemma to get

886 = 625 x 1 + 261

We consider the new divisor 625 and the new remainder 261,and apply the division lemma to get

625 = 261 x 2 + 103

We consider the new divisor 261 and the new remainder 103,and apply the division lemma to get

261 = 103 x 2 + 55

We consider the new divisor 103 and the new remainder 55,and apply the division lemma to get

103 = 55 x 1 + 48

We consider the new divisor 55 and the new remainder 48,and apply the division lemma to get

55 = 48 x 1 + 7

We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get

48 = 7 x 6 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5680 and 8077 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(55,48) = HCF(103,55) = HCF(261,103) = HCF(625,261) = HCF(886,625) = HCF(2397,886) = HCF(5680,2397) = HCF(8077,5680) .

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Frequently Asked Questions on HCF of 5680, 8077 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 5680, 8077?

Answer: HCF of 5680, 8077 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5680, 8077 using Euclid's Algorithm?

Answer: For arbitrary numbers 5680, 8077 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.