Highest Common Factor of 7336, 8191, 46120 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 7336, 8191, 46120 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7336, 8191, 46120 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 7336, 8191, 46120 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 7336, 8191, 46120 is 1.

HCF(7336, 8191, 46120) = 1

HCF of 7336, 8191, 46120 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 7336, 8191, 46120 is 1.

Highest Common Factor of 7336,8191,46120 using Euclid's algorithm

Highest Common Factor of 7336,8191,46120 is 1

Step 1: Since 8191 > 7336, we apply the division lemma to 8191 and 7336, to get

8191 = 7336 x 1 + 855

Step 2: Since the reminder 7336 ≠ 0, we apply division lemma to 855 and 7336, to get

7336 = 855 x 8 + 496

Step 3: We consider the new divisor 855 and the new remainder 496, and apply the division lemma to get

855 = 496 x 1 + 359

We consider the new divisor 496 and the new remainder 359,and apply the division lemma to get

496 = 359 x 1 + 137

We consider the new divisor 359 and the new remainder 137,and apply the division lemma to get

359 = 137 x 2 + 85

We consider the new divisor 137 and the new remainder 85,and apply the division lemma to get

137 = 85 x 1 + 52

We consider the new divisor 85 and the new remainder 52,and apply the division lemma to get

85 = 52 x 1 + 33

We consider the new divisor 52 and the new remainder 33,and apply the division lemma to get

52 = 33 x 1 + 19

We consider the new divisor 33 and the new remainder 19,and apply the division lemma to get

33 = 19 x 1 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7336 and 8191 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(33,19) = HCF(52,33) = HCF(85,52) = HCF(137,85) = HCF(359,137) = HCF(496,359) = HCF(855,496) = HCF(7336,855) = HCF(8191,7336) .

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

Step 1: Since 46120 > 1, we apply the division lemma to 46120 and 1, to get

46120 = 1 x 46120 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46120 is 1

Notice that 1 = HCF(46120,1) .

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Frequently Asked Questions on HCF of 7336, 8191, 46120 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 7336, 8191, 46120?

Answer: HCF of 7336, 8191, 46120 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7336, 8191, 46120 using Euclid's Algorithm?

Answer: For arbitrary numbers 7336, 8191, 46120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.