Highest Common Factor of 551, 854, 659, 953 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 551, 854, 659, 953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 551, 854, 659, 953 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 551, 854, 659, 953 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 551, 854, 659, 953 is 1.

HCF(551, 854, 659, 953) = 1

HCF of 551, 854, 659, 953 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 551, 854, 659, 953 is 1.

Highest Common Factor of 551,854,659,953 using Euclid's algorithm

Highest Common Factor of 551,854,659,953 is 1

Step 1: Since 854 > 551, we apply the division lemma to 854 and 551, to get

854 = 551 x 1 + 303

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 303 and 551, to get

551 = 303 x 1 + 248

Step 3: We consider the new divisor 303 and the new remainder 248, and apply the division lemma to get

303 = 248 x 1 + 55

We consider the new divisor 248 and the new remainder 55,and apply the division lemma to get

248 = 55 x 4 + 28

We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get

55 = 28 x 1 + 27

We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get

28 = 27 x 1 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 854 is 1

Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(248,55) = HCF(303,248) = HCF(551,303) = HCF(854,551) .

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

Step 1: Since 659 > 1, we apply the division lemma to 659 and 1, to get

659 = 1 x 659 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 659 is 1

Notice that 1 = HCF(659,1) .

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

Step 1: Since 953 > 1, we apply the division lemma to 953 and 1, to get

953 = 1 x 953 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 953 is 1

Notice that 1 = HCF(953,1) .

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Frequently Asked Questions on HCF of 551, 854, 659, 953 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 551, 854, 659, 953?

Answer: HCF of 551, 854, 659, 953 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 551, 854, 659, 953 using Euclid's Algorithm?

Answer: For arbitrary numbers 551, 854, 659, 953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.