Highest Common Factor of 551, 890, 988 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, 890, 988 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 551, 890, 988 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, 890, 988 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, 890, 988 is 1.

HCF(551, 890, 988) = 1

HCF of 551, 890, 988 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, 890, 988 is 1.

Highest Common Factor of 551,890,988 using Euclid's algorithm

Highest Common Factor of 551,890,988 is 1

Step 1: Since 890 > 551, we apply the division lemma to 890 and 551, to get

890 = 551 x 1 + 339

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 339 and 551, to get

551 = 339 x 1 + 212

Step 3: We consider the new divisor 339 and the new remainder 212, and apply the division lemma to get

339 = 212 x 1 + 127

We consider the new divisor 212 and the new remainder 127,and apply the division lemma to get

212 = 127 x 1 + 85

We consider the new divisor 127 and the new remainder 85,and apply the division lemma to get

127 = 85 x 1 + 42

We consider the new divisor 85 and the new remainder 42,and apply the division lemma to get

85 = 42 x 2 + 1

We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get

42 = 1 x 42 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 890 is 1

Notice that 1 = HCF(42,1) = HCF(85,42) = HCF(127,85) = HCF(212,127) = HCF(339,212) = HCF(551,339) = HCF(890,551) .

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

Step 1: Since 988 > 1, we apply the division lemma to 988 and 1, to get

988 = 1 x 988 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 988 is 1

Notice that 1 = HCF(988,1) .

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Frequently Asked Questions on HCF of 551, 890, 988 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, 890, 988?

Answer: HCF of 551, 890, 988 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 551, 890, 988 using Euclid's Algorithm?

Answer: For arbitrary numbers 551, 890, 988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.