Highest Common Factor of 6785, 3766, 58136 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 6785, 3766, 58136 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6785, 3766, 58136 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 6785, 3766, 58136 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 6785, 3766, 58136 is 1.

HCF(6785, 3766, 58136) = 1

HCF of 6785, 3766, 58136 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 6785, 3766, 58136 is 1.

Highest Common Factor of 6785,3766,58136 using Euclid's algorithm

Highest Common Factor of 6785,3766,58136 is 1

Step 1: Since 6785 > 3766, we apply the division lemma to 6785 and 3766, to get

6785 = 3766 x 1 + 3019

Step 2: Since the reminder 3766 ≠ 0, we apply division lemma to 3019 and 3766, to get

3766 = 3019 x 1 + 747

Step 3: We consider the new divisor 3019 and the new remainder 747, and apply the division lemma to get

3019 = 747 x 4 + 31

We consider the new divisor 747 and the new remainder 31,and apply the division lemma to get

747 = 31 x 24 + 3

We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get

31 = 3 x 10 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6785 and 3766 is 1

Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(747,31) = HCF(3019,747) = HCF(3766,3019) = HCF(6785,3766) .

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

Step 1: Since 58136 > 1, we apply the division lemma to 58136 and 1, to get

58136 = 1 x 58136 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58136 is 1

Notice that 1 = HCF(58136,1) .

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Frequently Asked Questions on HCF of 6785, 3766, 58136 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 6785, 3766, 58136?

Answer: HCF of 6785, 3766, 58136 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6785, 3766, 58136 using Euclid's Algorithm?

Answer: For arbitrary numbers 6785, 3766, 58136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.