Highest Common Factor of 490, 386, 234 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 490, 386, 234 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 386, 234 is 2 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 490, 386, 234 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 490, 386, 234 is 2.

HCF(490, 386, 234) = 2

HCF of 490, 386, 234 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 490, 386, 234 is 2.

Highest Common Factor of 490,386,234 using Euclid's algorithm

Highest Common Factor of 490,386,234 is 2

Step 1: Since 490 > 386, we apply the division lemma to 490 and 386, to get

490 = 386 x 1 + 104

Step 2: Since the reminder 386 ≠ 0, we apply division lemma to 104 and 386, to get

386 = 104 x 3 + 74

Step 3: We consider the new divisor 104 and the new remainder 74, and apply the division lemma to get

104 = 74 x 1 + 30

We consider the new divisor 74 and the new remainder 30,and apply the division lemma to get

74 = 30 x 2 + 14

We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get

30 = 14 x 2 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 490 and 386 is 2

Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(74,30) = HCF(104,74) = HCF(386,104) = HCF(490,386) .

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

Step 1: Since 234 > 2, we apply the division lemma to 234 and 2, to get

234 = 2 x 117 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 234 is 2

Notice that 2 = HCF(234,2) .

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Frequently Asked Questions on HCF of 490, 386, 234 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 490, 386, 234?

Answer: HCF of 490, 386, 234 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 386, 234 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 386, 234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.