Highest Common Factor of 490, 766, 375, 782 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, 766, 375, 782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 766, 375, 782 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, 766, 375, 782 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, 766, 375, 782 is 1.

HCF(490, 766, 375, 782) = 1

HCF of 490, 766, 375, 782 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, 766, 375, 782 is 1.

Highest Common Factor of 490,766,375,782 using Euclid's algorithm

Highest Common Factor of 490,766,375,782 is 1

Step 1: Since 766 > 490, we apply the division lemma to 766 and 490, to get

766 = 490 x 1 + 276

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 276 and 490, to get

490 = 276 x 1 + 214

Step 3: We consider the new divisor 276 and the new remainder 214, and apply the division lemma to get

276 = 214 x 1 + 62

We consider the new divisor 214 and the new remainder 62,and apply the division lemma to get

214 = 62 x 3 + 28

We consider the new divisor 62 and the new remainder 28,and apply the division lemma to get

62 = 28 x 2 + 6

We consider the new divisor 28 and the new remainder 6,and apply the division lemma to get

28 = 6 x 4 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 490 and 766 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(28,6) = HCF(62,28) = HCF(214,62) = HCF(276,214) = HCF(490,276) = HCF(766,490) .

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

Step 1: Since 375 > 2, we apply the division lemma to 375 and 2, to get

375 = 2 x 187 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 375 is 1

Notice that 1 = HCF(2,1) = HCF(375,2) .

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

Step 1: Since 782 > 1, we apply the division lemma to 782 and 1, to get

782 = 1 x 782 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 782 is 1

Notice that 1 = HCF(782,1) .

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Frequently Asked Questions on HCF of 490, 766, 375, 782 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, 766, 375, 782?

Answer: HCF of 490, 766, 375, 782 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 766, 375, 782 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 766, 375, 782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.