Highest Common Factor of 699, 995, 240, 455 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, 995, 240, 455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 699, 995, 240, 455 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, 995, 240, 455 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, 995, 240, 455 is 1.

HCF(699, 995, 240, 455) = 1

HCF of 699, 995, 240, 455 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, 995, 240, 455 is 1.

Highest Common Factor of 699,995,240,455 using Euclid's algorithm

Highest Common Factor of 699,995,240,455 is 1

Step 1: Since 995 > 699, we apply the division lemma to 995 and 699, to get

995 = 699 x 1 + 296

Step 2: Since the reminder 699 ≠ 0, we apply division lemma to 296 and 699, to get

699 = 296 x 2 + 107

Step 3: We consider the new divisor 296 and the new remainder 107, and apply the division lemma to get

296 = 107 x 2 + 82

We consider the new divisor 107 and the new remainder 82,and apply the division lemma to get

107 = 82 x 1 + 25

We consider the new divisor 82 and the new remainder 25,and apply the division lemma to get

82 = 25 x 3 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 699 and 995 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(82,25) = HCF(107,82) = HCF(296,107) = HCF(699,296) = HCF(995,699) .


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

Step 1: Since 240 > 1, we apply the division lemma to 240 and 1, to get

240 = 1 x 240 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 240 is 1

Notice that 1 = HCF(240,1) .


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

Step 1: Since 455 > 1, we apply the division lemma to 455 and 1, to get

455 = 1 x 455 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 455 is 1

Notice that 1 = HCF(455,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 699, 995, 240, 455 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, 995, 240, 455?

Answer: HCF of 699, 995, 240, 455 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 699, 995, 240, 455 using Euclid's Algorithm?

Answer: For arbitrary numbers 699, 995, 240, 455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.