Highest Common Factor of 990, 832, 883, 93 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 990, 832, 883, 93 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 990, 832, 883, 93 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 990, 832, 883, 93 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 990, 832, 883, 93 is 1.

HCF(990, 832, 883, 93) = 1

HCF of 990, 832, 883, 93 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 990, 832, 883, 93 is 1.

Highest Common Factor of 990,832,883,93 using Euclid's algorithm

Highest Common Factor of 990,832,883,93 is 1

Step 1: Since 990 > 832, we apply the division lemma to 990 and 832, to get

990 = 832 x 1 + 158

Step 2: Since the reminder 832 ≠ 0, we apply division lemma to 158 and 832, to get

832 = 158 x 5 + 42

Step 3: We consider the new divisor 158 and the new remainder 42, and apply the division lemma to get

158 = 42 x 3 + 32

We consider the new divisor 42 and the new remainder 32,and apply the division lemma to get

42 = 32 x 1 + 10

We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get

32 = 10 x 3 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 990 and 832 is 2

Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(42,32) = HCF(158,42) = HCF(832,158) = HCF(990,832) .

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

Step 1: Since 883 > 2, we apply the division lemma to 883 and 2, to get

883 = 2 x 441 + 1

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

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 883 is 1

Notice that 1 = HCF(2,1) = HCF(883,2) .

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

Step 1: Since 93 > 1, we apply the division lemma to 93 and 1, to get

93 = 1 x 93 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93 is 1

Notice that 1 = HCF(93,1) .

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Frequently Asked Questions on HCF of 990, 832, 883, 93 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 990, 832, 883, 93?

Answer: HCF of 990, 832, 883, 93 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 990, 832, 883, 93 using Euclid's Algorithm?

Answer: For arbitrary numbers 990, 832, 883, 93 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.