Highest Common Factor of 854, 490, 479 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 854, 490, 479 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 854, 490, 479 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 854, 490, 479 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 854, 490, 479 is 1.

HCF(854, 490, 479) = 1

HCF of 854, 490, 479 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 854, 490, 479 is 1.

Highest Common Factor of 854,490,479 using Euclid's algorithm

Highest Common Factor of 854,490,479 is 1

Step 1: Since 854 > 490, we apply the division lemma to 854 and 490, to get

854 = 490 x 1 + 364

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 364 and 490, to get

490 = 364 x 1 + 126

Step 3: We consider the new divisor 364 and the new remainder 126, and apply the division lemma to get

364 = 126 x 2 + 112

We consider the new divisor 126 and the new remainder 112,and apply the division lemma to get

126 = 112 x 1 + 14

We consider the new divisor 112 and the new remainder 14,and apply the division lemma to get

112 = 14 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 854 and 490 is 14

Notice that 14 = HCF(112,14) = HCF(126,112) = HCF(364,126) = HCF(490,364) = HCF(854,490) .

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

Step 1: Since 479 > 14, we apply the division lemma to 479 and 14, to get

479 = 14 x 34 + 3

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 3 and 14, to get

14 = 3 x 4 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 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 14 and 479 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(479,14) .

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Frequently Asked Questions on HCF of 854, 490, 479 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 854, 490, 479?

Answer: HCF of 854, 490, 479 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 854, 490, 479 using Euclid's Algorithm?

Answer: For arbitrary numbers 854, 490, 479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.