Highest Common Factor of 559, 916, 970, 141 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 559, 916, 970, 141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 559, 916, 970, 141 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 559, 916, 970, 141 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 559, 916, 970, 141 is 1.

HCF(559, 916, 970, 141) = 1

HCF of 559, 916, 970, 141 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 559, 916, 970, 141 is 1.

Highest Common Factor of 559,916,970,141 using Euclid's algorithm

Highest Common Factor of 559,916,970,141 is 1

Step 1: Since 916 > 559, we apply the division lemma to 916 and 559, to get

916 = 559 x 1 + 357

Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 357 and 559, to get

559 = 357 x 1 + 202

Step 3: We consider the new divisor 357 and the new remainder 202, and apply the division lemma to get

357 = 202 x 1 + 155

We consider the new divisor 202 and the new remainder 155,and apply the division lemma to get

202 = 155 x 1 + 47

We consider the new divisor 155 and the new remainder 47,and apply the division lemma to get

155 = 47 x 3 + 14

We consider the new divisor 47 and the new remainder 14,and apply the division lemma to get

47 = 14 x 3 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 559 and 916 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(47,14) = HCF(155,47) = HCF(202,155) = HCF(357,202) = HCF(559,357) = HCF(916,559) .

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

Step 1: Since 970 > 1, we apply the division lemma to 970 and 1, to get

970 = 1 x 970 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 970 is 1

Notice that 1 = HCF(970,1) .

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

Step 1: Since 141 > 1, we apply the division lemma to 141 and 1, to get

141 = 1 x 141 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 141 is 1

Notice that 1 = HCF(141,1) .

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Frequently Asked Questions on HCF of 559, 916, 970, 141 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 559, 916, 970, 141?

Answer: HCF of 559, 916, 970, 141 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 559, 916, 970, 141 using Euclid's Algorithm?

Answer: For arbitrary numbers 559, 916, 970, 141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.