Highest Common Factor of 490, 803, 715 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, 803, 715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 803, 715 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, 803, 715 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, 803, 715 is 1.

HCF(490, 803, 715) = 1

HCF of 490, 803, 715 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, 803, 715 is 1.

Highest Common Factor of 490,803,715 using Euclid's algorithm

Highest Common Factor of 490,803,715 is 1

Step 1: Since 803 > 490, we apply the division lemma to 803 and 490, to get

803 = 490 x 1 + 313

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 313 and 490, to get

490 = 313 x 1 + 177

Step 3: We consider the new divisor 313 and the new remainder 177, and apply the division lemma to get

313 = 177 x 1 + 136

We consider the new divisor 177 and the new remainder 136,and apply the division lemma to get

177 = 136 x 1 + 41

We consider the new divisor 136 and the new remainder 41,and apply the division lemma to get

136 = 41 x 3 + 13

We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get

41 = 13 x 3 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 803 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(136,41) = HCF(177,136) = HCF(313,177) = HCF(490,313) = HCF(803,490) .

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

Step 1: Since 715 > 1, we apply the division lemma to 715 and 1, to get

715 = 1 x 715 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 715 is 1

Notice that 1 = HCF(715,1) .

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Frequently Asked Questions on HCF of 490, 803, 715 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, 803, 715?

Answer: HCF of 490, 803, 715 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 803, 715 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 803, 715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.