Highest Common Factor of 856, 699, 764, 86 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 856, 699, 764, 86 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 856, 699, 764, 86 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 856, 699, 764, 86 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 856, 699, 764, 86 is 1.

HCF(856, 699, 764, 86) = 1

HCF of 856, 699, 764, 86 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 856, 699, 764, 86 is 1.

Highest Common Factor of 856,699,764,86 using Euclid's algorithm

Highest Common Factor of 856,699,764,86 is 1

Step 1: Since 856 > 699, we apply the division lemma to 856 and 699, to get

856 = 699 x 1 + 157

Step 2: Since the reminder 699 ≠ 0, we apply division lemma to 157 and 699, to get

699 = 157 x 4 + 71

Step 3: We consider the new divisor 157 and the new remainder 71, and apply the division lemma to get

157 = 71 x 2 + 15

We consider the new divisor 71 and the new remainder 15,and apply the division lemma to get

71 = 15 x 4 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 856 and 699 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(71,15) = HCF(157,71) = HCF(699,157) = HCF(856,699) .

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

Step 1: Since 764 > 1, we apply the division lemma to 764 and 1, to get

764 = 1 x 764 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 764 is 1

Notice that 1 = HCF(764,1) .

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

Step 1: Since 86 > 1, we apply the division lemma to 86 and 1, to get

86 = 1 x 86 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 86 is 1

Notice that 1 = HCF(86,1) .

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Frequently Asked Questions on HCF of 856, 699, 764, 86 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 856, 699, 764, 86?

Answer: HCF of 856, 699, 764, 86 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 856, 699, 764, 86 using Euclid's Algorithm?

Answer: For arbitrary numbers 856, 699, 764, 86 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.