Highest Common Factor of 7685, 4779 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 7685, 4779 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7685, 4779 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 7685, 4779 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 7685, 4779 is 1.

HCF(7685, 4779) = 1

HCF of 7685, 4779 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 7685, 4779 is 1.

Highest Common Factor of 7685,4779 using Euclid's algorithm

Highest Common Factor of 7685,4779 is 1

Step 1: Since 7685 > 4779, we apply the division lemma to 7685 and 4779, to get

7685 = 4779 x 1 + 2906

Step 2: Since the reminder 4779 ≠ 0, we apply division lemma to 2906 and 4779, to get

4779 = 2906 x 1 + 1873

Step 3: We consider the new divisor 2906 and the new remainder 1873, and apply the division lemma to get

2906 = 1873 x 1 + 1033

We consider the new divisor 1873 and the new remainder 1033,and apply the division lemma to get

1873 = 1033 x 1 + 840

We consider the new divisor 1033 and the new remainder 840,and apply the division lemma to get

1033 = 840 x 1 + 193

We consider the new divisor 840 and the new remainder 193,and apply the division lemma to get

840 = 193 x 4 + 68

We consider the new divisor 193 and the new remainder 68,and apply the division lemma to get

193 = 68 x 2 + 57

We consider the new divisor 68 and the new remainder 57,and apply the division lemma to get

68 = 57 x 1 + 11

We consider the new divisor 57 and the new remainder 11,and apply the division lemma to get

57 = 11 x 5 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 7685 and 4779 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(57,11) = HCF(68,57) = HCF(193,68) = HCF(840,193) = HCF(1033,840) = HCF(1873,1033) = HCF(2906,1873) = HCF(4779,2906) = HCF(7685,4779) .

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Frequently Asked Questions on HCF of 7685, 4779 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 7685, 4779?

Answer: HCF of 7685, 4779 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7685, 4779 using Euclid's Algorithm?

Answer: For arbitrary numbers 7685, 4779 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.