Highest Common Factor of 490, 353, 750 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, 353, 750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 353, 750 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, 353, 750 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, 353, 750 is 1.

HCF(490, 353, 750) = 1

HCF of 490, 353, 750 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, 353, 750 is 1.

Highest Common Factor of 490,353,750 using Euclid's algorithm

Highest Common Factor of 490,353,750 is 1

Step 1: Since 490 > 353, we apply the division lemma to 490 and 353, to get

490 = 353 x 1 + 137

Step 2: Since the reminder 353 ≠ 0, we apply division lemma to 137 and 353, to get

353 = 137 x 2 + 79

Step 3: We consider the new divisor 137 and the new remainder 79, and apply the division lemma to get

137 = 79 x 1 + 58

We consider the new divisor 79 and the new remainder 58,and apply the division lemma to get

79 = 58 x 1 + 21

We consider the new divisor 58 and the new remainder 21,and apply the division lemma to get

58 = 21 x 2 + 16

We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get

21 = 16 x 1 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 490 and 353 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(58,21) = HCF(79,58) = HCF(137,79) = HCF(353,137) = HCF(490,353) .

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

Step 1: Since 750 > 1, we apply the division lemma to 750 and 1, to get

750 = 1 x 750 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 750 is 1

Notice that 1 = HCF(750,1) .

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Frequently Asked Questions on HCF of 490, 353, 750 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, 353, 750?

Answer: HCF of 490, 353, 750 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 353, 750 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 353, 750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.