Highest Common Factor of 699, 375, 775 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, 375, 775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 699, 375, 775 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, 375, 775 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, 375, 775 is 1.

HCF(699, 375, 775) = 1

HCF of 699, 375, 775 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, 375, 775 is 1.

Highest Common Factor of 699,375,775 using Euclid's algorithm

Highest Common Factor of 699,375,775 is 1

Step 1: Since 699 > 375, we apply the division lemma to 699 and 375, to get

699 = 375 x 1 + 324

Step 2: Since the reminder 375 ≠ 0, we apply division lemma to 324 and 375, to get

375 = 324 x 1 + 51

Step 3: We consider the new divisor 324 and the new remainder 51, and apply the division lemma to get

324 = 51 x 6 + 18

We consider the new divisor 51 and the new remainder 18,and apply the division lemma to get

51 = 18 x 2 + 15

We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get

18 = 15 x 1 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 699 and 375 is 3

Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(51,18) = HCF(324,51) = HCF(375,324) = HCF(699,375) .

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

Step 1: Since 775 > 3, we apply the division lemma to 775 and 3, to get

775 = 3 x 258 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 775 is 1

Notice that 1 = HCF(3,1) = HCF(775,3) .

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Frequently Asked Questions on HCF of 699, 375, 775 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, 375, 775?

Answer: HCF of 699, 375, 775 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 699, 375, 775 using Euclid's Algorithm?

Answer: For arbitrary numbers 699, 375, 775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.