Highest Common Factor of 699, 845, 975, 859 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 699, 845, 975, 859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 699, 845, 975, 859 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 699, 845, 975, 859 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 699, 845, 975, 859 is 1.

HCF(699, 845, 975, 859) = 1

HCF of 699, 845, 975, 859 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 699, 845, 975, 859 is 1.

Highest Common Factor of 699,845,975,859 using Euclid's algorithm

Highest Common Factor of 699,845,975,859 is 1

Step 1: Since 845 > 699, we apply the division lemma to 845 and 699, to get

845 = 699 x 1 + 146

Step 2: Since the reminder 699 ≠ 0, we apply division lemma to 146 and 699, to get

699 = 146 x 4 + 115

Step 3: We consider the new divisor 146 and the new remainder 115, and apply the division lemma to get

146 = 115 x 1 + 31

We consider the new divisor 115 and the new remainder 31,and apply the division lemma to get

115 = 31 x 3 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 699 and 845 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(115,31) = HCF(146,115) = HCF(699,146) = HCF(845,699) .


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

Step 1: Since 975 > 1, we apply the division lemma to 975 and 1, to get

975 = 1 x 975 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 975 is 1

Notice that 1 = HCF(975,1) .


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

Step 1: Since 859 > 1, we apply the division lemma to 859 and 1, to get

859 = 1 x 859 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 859 is 1

Notice that 1 = HCF(859,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 699, 845, 975, 859 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 699, 845, 975, 859?

Answer: HCF of 699, 845, 975, 859 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 699, 845, 975, 859 using Euclid's Algorithm?

Answer: For arbitrary numbers 699, 845, 975, 859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.