Highest Common Factor of 990, 739, 299, 92 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, 739, 299, 92 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 990, 739, 299, 92 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, 739, 299, 92 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, 739, 299, 92 is 1.

HCF(990, 739, 299, 92) = 1

HCF of 990, 739, 299, 92 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, 739, 299, 92 is 1.

Highest Common Factor of 990,739,299,92 using Euclid's algorithm

Highest Common Factor of 990,739,299,92 is 1

Step 1: Since 990 > 739, we apply the division lemma to 990 and 739, to get

990 = 739 x 1 + 251

Step 2: Since the reminder 739 ≠ 0, we apply division lemma to 251 and 739, to get

739 = 251 x 2 + 237

Step 3: We consider the new divisor 251 and the new remainder 237, and apply the division lemma to get

251 = 237 x 1 + 14

We consider the new divisor 237 and the new remainder 14,and apply the division lemma to get

237 = 14 x 16 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 990 and 739 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(237,14) = HCF(251,237) = HCF(739,251) = HCF(990,739) .

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

Step 1: Since 299 > 1, we apply the division lemma to 299 and 1, to get

299 = 1 x 299 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 299 is 1

Notice that 1 = HCF(299,1) .

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

Step 1: Since 92 > 1, we apply the division lemma to 92 and 1, to get

92 = 1 x 92 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92 is 1

Notice that 1 = HCF(92,1) .

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Frequently Asked Questions on HCF of 990, 739, 299, 92 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, 739, 299, 92?

Answer: HCF of 990, 739, 299, 92 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 990, 739, 299, 92 using Euclid's Algorithm?

Answer: For arbitrary numbers 990, 739, 299, 92 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.