Highest Common Factor of 668, 912, 901, 19 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 668, 912, 901, 19 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 668, 912, 901, 19 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 668, 912, 901, 19 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 668, 912, 901, 19 is 1.

HCF(668, 912, 901, 19) = 1

HCF of 668, 912, 901, 19 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 668, 912, 901, 19 is 1.

Highest Common Factor of 668,912,901,19 using Euclid's algorithm

Highest Common Factor of 668,912,901,19 is 1

Step 1: Since 912 > 668, we apply the division lemma to 912 and 668, to get

912 = 668 x 1 + 244

Step 2: Since the reminder 668 ≠ 0, we apply division lemma to 244 and 668, to get

668 = 244 x 2 + 180

Step 3: We consider the new divisor 244 and the new remainder 180, and apply the division lemma to get

244 = 180 x 1 + 64

We consider the new divisor 180 and the new remainder 64,and apply the division lemma to get

180 = 64 x 2 + 52

We consider the new divisor 64 and the new remainder 52,and apply the division lemma to get

64 = 52 x 1 + 12

We consider the new divisor 52 and the new remainder 12,and apply the division lemma to get

52 = 12 x 4 + 4

We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get

12 = 4 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 668 and 912 is 4

Notice that 4 = HCF(12,4) = HCF(52,12) = HCF(64,52) = HCF(180,64) = HCF(244,180) = HCF(668,244) = HCF(912,668) .

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

Step 1: Since 901 > 4, we apply the division lemma to 901 and 4, to get

901 = 4 x 225 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, 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 4 and 901 is 1

Notice that 1 = HCF(4,1) = HCF(901,4) .

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

Step 1: Since 19 > 1, we apply the division lemma to 19 and 1, to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19 is 1

Notice that 1 = HCF(19,1) .

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Frequently Asked Questions on HCF of 668, 912, 901, 19 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 668, 912, 901, 19?

Answer: HCF of 668, 912, 901, 19 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 668, 912, 901, 19 using Euclid's Algorithm?

Answer: For arbitrary numbers 668, 912, 901, 19 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.