Highest Common Factor of 302, 491, 418 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 302, 491, 418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 302, 491, 418 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 302, 491, 418 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 302, 491, 418 is 1.

HCF(302, 491, 418) = 1

HCF of 302, 491, 418 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 302, 491, 418 is 1.

Highest Common Factor of 302,491,418 using Euclid's algorithm

Highest Common Factor of 302,491,418 is 1

Step 1: Since 491 > 302, we apply the division lemma to 491 and 302, to get

491 = 302 x 1 + 189

Step 2: Since the reminder 302 ≠ 0, we apply division lemma to 189 and 302, to get

302 = 189 x 1 + 113

Step 3: We consider the new divisor 189 and the new remainder 113, and apply the division lemma to get

189 = 113 x 1 + 76

We consider the new divisor 113 and the new remainder 76,and apply the division lemma to get

113 = 76 x 1 + 37

We consider the new divisor 76 and the new remainder 37,and apply the division lemma to get

76 = 37 x 2 + 2

We consider the new divisor 37 and the new remainder 2,and apply the division lemma to get

37 = 2 x 18 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 302 and 491 is 1

Notice that 1 = HCF(2,1) = HCF(37,2) = HCF(76,37) = HCF(113,76) = HCF(189,113) = HCF(302,189) = HCF(491,302) .

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

Step 1: Since 418 > 1, we apply the division lemma to 418 and 1, to get

418 = 1 x 418 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 418 is 1

Notice that 1 = HCF(418,1) .

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Frequently Asked Questions on HCF of 302, 491, 418 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 302, 491, 418?

Answer: HCF of 302, 491, 418 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 302, 491, 418 using Euclid's Algorithm?

Answer: For arbitrary numbers 302, 491, 418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.