Highest Common Factor of 499, 703, 746 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 499, 703, 746 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 499, 703, 746 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 499, 703, 746 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 499, 703, 746 is 1.

HCF(499, 703, 746) = 1

HCF of 499, 703, 746 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 499, 703, 746 is 1.

Highest Common Factor of 499,703,746 using Euclid's algorithm

Highest Common Factor of 499,703,746 is 1

Step 1: Since 703 > 499, we apply the division lemma to 703 and 499, to get

703 = 499 x 1 + 204

Step 2: Since the reminder 499 ≠ 0, we apply division lemma to 204 and 499, to get

499 = 204 x 2 + 91

Step 3: We consider the new divisor 204 and the new remainder 91, and apply the division lemma to get

204 = 91 x 2 + 22

We consider the new divisor 91 and the new remainder 22,and apply the division lemma to get

91 = 22 x 4 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 499 and 703 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(91,22) = HCF(204,91) = HCF(499,204) = HCF(703,499) .

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

Step 1: Since 746 > 1, we apply the division lemma to 746 and 1, to get

746 = 1 x 746 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 746 is 1

Notice that 1 = HCF(746,1) .

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Frequently Asked Questions on HCF of 499, 703, 746 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 499, 703, 746?

Answer: HCF of 499, 703, 746 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 499, 703, 746 using Euclid's Algorithm?

Answer: For arbitrary numbers 499, 703, 746 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.