Highest Common Factor of 3060, 6607, 94707 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 3060, 6607, 94707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3060, 6607, 94707 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 3060, 6607, 94707 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 3060, 6607, 94707 is 1.

HCF(3060, 6607, 94707) = 1

HCF of 3060, 6607, 94707 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 3060, 6607, 94707 is 1.

Highest Common Factor of 3060,6607,94707 using Euclid's algorithm

Highest Common Factor of 3060,6607,94707 is 1

Step 1: Since 6607 > 3060, we apply the division lemma to 6607 and 3060, to get

6607 = 3060 x 2 + 487

Step 2: Since the reminder 3060 ≠ 0, we apply division lemma to 487 and 3060, to get

3060 = 487 x 6 + 138

Step 3: We consider the new divisor 487 and the new remainder 138, and apply the division lemma to get

487 = 138 x 3 + 73

We consider the new divisor 138 and the new remainder 73,and apply the division lemma to get

138 = 73 x 1 + 65

We consider the new divisor 73 and the new remainder 65,and apply the division lemma to get

73 = 65 x 1 + 8

We consider the new divisor 65 and the new remainder 8,and apply the division lemma to get

65 = 8 x 8 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3060 and 6607 is 1

Notice that 1 = HCF(8,1) = HCF(65,8) = HCF(73,65) = HCF(138,73) = HCF(487,138) = HCF(3060,487) = HCF(6607,3060) .

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

Step 1: Since 94707 > 1, we apply the division lemma to 94707 and 1, to get

94707 = 1 x 94707 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94707 is 1

Notice that 1 = HCF(94707,1) .

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Frequently Asked Questions on HCF of 3060, 6607, 94707 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 3060, 6607, 94707?

Answer: HCF of 3060, 6607, 94707 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3060, 6607, 94707 using Euclid's Algorithm?

Answer: For arbitrary numbers 3060, 6607, 94707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.