Highest Common Factor of 6018, 7634, 70182 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 6018, 7634, 70182 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 6018, 7634, 70182 is 2 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 6018, 7634, 70182 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 6018, 7634, 70182 is 2.

HCF(6018, 7634, 70182) = 2

HCF of 6018, 7634, 70182 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 6018, 7634, 70182 is 2.

Highest Common Factor of 6018,7634,70182 using Euclid's algorithm

Highest Common Factor of 6018,7634,70182 is 2

Step 1: Since 7634 > 6018, we apply the division lemma to 7634 and 6018, to get

7634 = 6018 x 1 + 1616

Step 2: Since the reminder 6018 ≠ 0, we apply division lemma to 1616 and 6018, to get

6018 = 1616 x 3 + 1170

Step 3: We consider the new divisor 1616 and the new remainder 1170, and apply the division lemma to get

1616 = 1170 x 1 + 446

We consider the new divisor 1170 and the new remainder 446,and apply the division lemma to get

1170 = 446 x 2 + 278

We consider the new divisor 446 and the new remainder 278,and apply the division lemma to get

446 = 278 x 1 + 168

We consider the new divisor 278 and the new remainder 168,and apply the division lemma to get

278 = 168 x 1 + 110

We consider the new divisor 168 and the new remainder 110,and apply the division lemma to get

168 = 110 x 1 + 58

We consider the new divisor 110 and the new remainder 58,and apply the division lemma to get

110 = 58 x 1 + 52

We consider the new divisor 58 and the new remainder 52,and apply the division lemma to get

58 = 52 x 1 + 6

We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get

52 = 6 x 8 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6018 and 7634 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(58,52) = HCF(110,58) = HCF(168,110) = HCF(278,168) = HCF(446,278) = HCF(1170,446) = HCF(1616,1170) = HCF(6018,1616) = HCF(7634,6018) .

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

Step 1: Since 70182 > 2, we apply the division lemma to 70182 and 2, to get

70182 = 2 x 35091 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 70182 is 2

Notice that 2 = HCF(70182,2) .

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Frequently Asked Questions on HCF of 6018, 7634, 70182 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 6018, 7634, 70182?

Answer: HCF of 6018, 7634, 70182 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6018, 7634, 70182 using Euclid's Algorithm?

Answer: For arbitrary numbers 6018, 7634, 70182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.