Highest Common Factor of 919, 556, 235 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 919, 556, 235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 919, 556, 235 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 919, 556, 235 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 919, 556, 235 is 1.

HCF(919, 556, 235) = 1

HCF of 919, 556, 235 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 919, 556, 235 is 1.

Highest Common Factor of 919,556,235 using Euclid's algorithm

Highest Common Factor of 919,556,235 is 1

Step 1: Since 919 > 556, we apply the division lemma to 919 and 556, to get

919 = 556 x 1 + 363

Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 363 and 556, to get

556 = 363 x 1 + 193

Step 3: We consider the new divisor 363 and the new remainder 193, and apply the division lemma to get

363 = 193 x 1 + 170

We consider the new divisor 193 and the new remainder 170,and apply the division lemma to get

193 = 170 x 1 + 23

We consider the new divisor 170 and the new remainder 23,and apply the division lemma to get

170 = 23 x 7 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 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 919 and 556 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(170,23) = HCF(193,170) = HCF(363,193) = HCF(556,363) = HCF(919,556) .

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

Step 1: Since 235 > 1, we apply the division lemma to 235 and 1, to get

235 = 1 x 235 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 235 is 1

Notice that 1 = HCF(235,1) .

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Frequently Asked Questions on HCF of 919, 556, 235 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 919, 556, 235?

Answer: HCF of 919, 556, 235 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 919, 556, 235 using Euclid's Algorithm?

Answer: For arbitrary numbers 919, 556, 235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.