Highest Common Factor of 950, 564, 193 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 950, 564, 193 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 950, 564, 193 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 950, 564, 193 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 950, 564, 193 is 1.

HCF(950, 564, 193) = 1

HCF of 950, 564, 193 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 950, 564, 193 is 1.

Highest Common Factor of 950,564,193 using Euclid's algorithm

Highest Common Factor of 950,564,193 is 1

Step 1: Since 950 > 564, we apply the division lemma to 950 and 564, to get

950 = 564 x 1 + 386

Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 386 and 564, to get

564 = 386 x 1 + 178

Step 3: We consider the new divisor 386 and the new remainder 178, and apply the division lemma to get

386 = 178 x 2 + 30

We consider the new divisor 178 and the new remainder 30,and apply the division lemma to get

178 = 30 x 5 + 28

We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get

30 = 28 x 1 + 2

We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get

28 = 2 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 950 and 564 is 2

Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(178,30) = HCF(386,178) = HCF(564,386) = HCF(950,564) .

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

Step 1: Since 193 > 2, we apply the division lemma to 193 and 2, to get

193 = 2 x 96 + 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 193 is 1

Notice that 1 = HCF(2,1) = HCF(193,2) .

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Frequently Asked Questions on HCF of 950, 564, 193 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 950, 564, 193?

Answer: HCF of 950, 564, 193 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 950, 564, 193 using Euclid's Algorithm?

Answer: For arbitrary numbers 950, 564, 193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.