Highest Common Factor of 683, 490, 72, 684 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 683, 490, 72, 684 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 683, 490, 72, 684 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 683, 490, 72, 684 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 683, 490, 72, 684 is 1.

HCF(683, 490, 72, 684) = 1

HCF of 683, 490, 72, 684 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 683, 490, 72, 684 is 1.

Highest Common Factor of 683,490,72,684 using Euclid's algorithm

Highest Common Factor of 683,490,72,684 is 1

Step 1: Since 683 > 490, we apply the division lemma to 683 and 490, to get

683 = 490 x 1 + 193

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 193 and 490, to get

490 = 193 x 2 + 104

Step 3: We consider the new divisor 193 and the new remainder 104, and apply the division lemma to get

193 = 104 x 1 + 89

We consider the new divisor 104 and the new remainder 89,and apply the division lemma to get

104 = 89 x 1 + 15

We consider the new divisor 89 and the new remainder 15,and apply the division lemma to get

89 = 15 x 5 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 683 and 490 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(89,15) = HCF(104,89) = HCF(193,104) = HCF(490,193) = HCF(683,490) .

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

Step 1: Since 72 > 1, we apply the division lemma to 72 and 1, to get

72 = 1 x 72 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72 is 1

Notice that 1 = HCF(72,1) .

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

Step 1: Since 684 > 1, we apply the division lemma to 684 and 1, to get

684 = 1 x 684 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 684 is 1

Notice that 1 = HCF(684,1) .

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Frequently Asked Questions on HCF of 683, 490, 72, 684 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 683, 490, 72, 684?

Answer: HCF of 683, 490, 72, 684 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 683, 490, 72, 684 using Euclid's Algorithm?

Answer: For arbitrary numbers 683, 490, 72, 684 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.