Highest Common Factor of 490, 722, 181, 468 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, 722, 181, 468 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 722, 181, 468 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, 722, 181, 468 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, 722, 181, 468 is 1.

HCF(490, 722, 181, 468) = 1

HCF of 490, 722, 181, 468 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, 722, 181, 468 is 1.

Highest Common Factor of 490,722,181,468 using Euclid's algorithm

Highest Common Factor of 490,722,181,468 is 1

Step 1: Since 722 > 490, we apply the division lemma to 722 and 490, to get

722 = 490 x 1 + 232

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 232 and 490, to get

490 = 232 x 2 + 26

Step 3: We consider the new divisor 232 and the new remainder 26, and apply the division lemma to get

232 = 26 x 8 + 24

We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get

26 = 24 x 1 + 2

We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get

24 = 2 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 490 and 722 is 2

Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(232,26) = HCF(490,232) = HCF(722,490) .

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

Step 1: Since 181 > 2, we apply the division lemma to 181 and 2, to get

181 = 2 x 90 + 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 181 is 1

Notice that 1 = HCF(2,1) = HCF(181,2) .

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

Step 1: Since 468 > 1, we apply the division lemma to 468 and 1, to get

468 = 1 x 468 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 468 is 1

Notice that 1 = HCF(468,1) .

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Frequently Asked Questions on HCF of 490, 722, 181, 468 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, 722, 181, 468?

Answer: HCF of 490, 722, 181, 468 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 722, 181, 468 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 722, 181, 468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.