Highest Common Factor of 694, 511, 345, 866 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 694, 511, 345, 866 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 694, 511, 345, 866 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 694, 511, 345, 866 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 694, 511, 345, 866 is 1.

HCF(694, 511, 345, 866) = 1

HCF of 694, 511, 345, 866 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 694, 511, 345, 866 is 1.

Highest Common Factor of 694,511,345,866 using Euclid's algorithm

Highest Common Factor of 694,511,345,866 is 1

Step 1: Since 694 > 511, we apply the division lemma to 694 and 511, to get

694 = 511 x 1 + 183

Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 183 and 511, to get

511 = 183 x 2 + 145

Step 3: We consider the new divisor 183 and the new remainder 145, and apply the division lemma to get

183 = 145 x 1 + 38

We consider the new divisor 145 and the new remainder 38,and apply the division lemma to get

145 = 38 x 3 + 31

We consider the new divisor 38 and the new remainder 31,and apply the division lemma to get

38 = 31 x 1 + 7

We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get

31 = 7 x 4 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 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 694 and 511 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(38,31) = HCF(145,38) = HCF(183,145) = HCF(511,183) = HCF(694,511) .


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

Step 1: Since 345 > 1, we apply the division lemma to 345 and 1, to get

345 = 1 x 345 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 345 is 1

Notice that 1 = HCF(345,1) .


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

Step 1: Since 866 > 1, we apply the division lemma to 866 and 1, to get

866 = 1 x 866 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 866 is 1

Notice that 1 = HCF(866,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 694, 511, 345, 866 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 694, 511, 345, 866?

Answer: HCF of 694, 511, 345, 866 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 694, 511, 345, 866 using Euclid's Algorithm?

Answer: For arbitrary numbers 694, 511, 345, 866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.