Highest Common Factor of 971, 599, 412, 954 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 971, 599, 412, 954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 971, 599, 412, 954 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 971, 599, 412, 954 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 971, 599, 412, 954 is 1.

HCF(971, 599, 412, 954) = 1

HCF of 971, 599, 412, 954 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 971, 599, 412, 954 is 1.

Highest Common Factor of 971,599,412,954 using Euclid's algorithm

Highest Common Factor of 971,599,412,954 is 1

Step 1: Since 971 > 599, we apply the division lemma to 971 and 599, to get

971 = 599 x 1 + 372

Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 372 and 599, to get

599 = 372 x 1 + 227

Step 3: We consider the new divisor 372 and the new remainder 227, and apply the division lemma to get

372 = 227 x 1 + 145

We consider the new divisor 227 and the new remainder 145,and apply the division lemma to get

227 = 145 x 1 + 82

We consider the new divisor 145 and the new remainder 82,and apply the division lemma to get

145 = 82 x 1 + 63

We consider the new divisor 82 and the new remainder 63,and apply the division lemma to get

82 = 63 x 1 + 19

We consider the new divisor 63 and the new remainder 19,and apply the division lemma to get

63 = 19 x 3 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 971 and 599 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(63,19) = HCF(82,63) = HCF(145,82) = HCF(227,145) = HCF(372,227) = HCF(599,372) = HCF(971,599) .

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

Step 1: Since 412 > 1, we apply the division lemma to 412 and 1, to get

412 = 1 x 412 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 412 is 1

Notice that 1 = HCF(412,1) .

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

Step 1: Since 954 > 1, we apply the division lemma to 954 and 1, to get

954 = 1 x 954 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 954 is 1

Notice that 1 = HCF(954,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 971, 599, 412, 954 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 971, 599, 412, 954?

Answer: HCF of 971, 599, 412, 954 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 971, 599, 412, 954 using Euclid's Algorithm?

Answer: For arbitrary numbers 971, 599, 412, 954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.