Highest Common Factor of 490, 771, 370 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, 771, 370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 771, 370 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 490, 771, 370 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, 771, 370 is 1.

HCF(490, 771, 370) = 1

HCF of 490, 771, 370 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, 771, 370 is 1.

Highest Common Factor of 490,771,370 using Euclid's algorithm

Highest Common Factor of 490,771,370 is 1

Step 1: Since 771 > 490, we apply the division lemma to 771 and 490, to get

771 = 490 x 1 + 281

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 281 and 490, to get

490 = 281 x 1 + 209

Step 3: We consider the new divisor 281 and the new remainder 209, and apply the division lemma to get

281 = 209 x 1 + 72

We consider the new divisor 209 and the new remainder 72,and apply the division lemma to get

209 = 72 x 2 + 65

We consider the new divisor 72 and the new remainder 65,and apply the division lemma to get

72 = 65 x 1 + 7

We consider the new divisor 65 and the new remainder 7,and apply the division lemma to get

65 = 7 x 9 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 490 and 771 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(65,7) = HCF(72,65) = HCF(209,72) = HCF(281,209) = HCF(490,281) = HCF(771,490) .

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

Step 1: Since 370 > 1, we apply the division lemma to 370 and 1, to get

370 = 1 x 370 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 370 is 1

Notice that 1 = HCF(370,1) .

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Frequently Asked Questions on HCF of 490, 771, 370 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, 771, 370?

Answer: HCF of 490, 771, 370 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 771, 370 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 771, 370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.