Highest Common Factor of 1889, 9996, 90680 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 1889, 9996, 90680 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1889, 9996, 90680 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 1889, 9996, 90680 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 1889, 9996, 90680 is 1.

HCF(1889, 9996, 90680) = 1

HCF of 1889, 9996, 90680 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 1889, 9996, 90680 is 1.

Highest Common Factor of 1889,9996,90680 using Euclid's algorithm

Highest Common Factor of 1889,9996,90680 is 1

Step 1: Since 9996 > 1889, we apply the division lemma to 9996 and 1889, to get

9996 = 1889 x 5 + 551

Step 2: Since the reminder 1889 ≠ 0, we apply division lemma to 551 and 1889, to get

1889 = 551 x 3 + 236

Step 3: We consider the new divisor 551 and the new remainder 236, and apply the division lemma to get

551 = 236 x 2 + 79

We consider the new divisor 236 and the new remainder 79,and apply the division lemma to get

236 = 79 x 2 + 78

We consider the new divisor 79 and the new remainder 78,and apply the division lemma to get

79 = 78 x 1 + 1

We consider the new divisor 78 and the new remainder 1,and apply the division lemma to get

78 = 1 x 78 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1889 and 9996 is 1

Notice that 1 = HCF(78,1) = HCF(79,78) = HCF(236,79) = HCF(551,236) = HCF(1889,551) = HCF(9996,1889) .

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

Step 1: Since 90680 > 1, we apply the division lemma to 90680 and 1, to get

90680 = 1 x 90680 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90680 is 1

Notice that 1 = HCF(90680,1) .

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Frequently Asked Questions on HCF of 1889, 9996, 90680 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 1889, 9996, 90680?

Answer: HCF of 1889, 9996, 90680 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1889, 9996, 90680 using Euclid's Algorithm?

Answer: For arbitrary numbers 1889, 9996, 90680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.