Highest Common Factor of 953, 522, 308 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 953, 522, 308 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 953, 522, 308 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 953, 522, 308 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 953, 522, 308 is 1.

HCF(953, 522, 308) = 1

HCF of 953, 522, 308 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 953, 522, 308 is 1.

Highest Common Factor of 953,522,308 using Euclid's algorithm

Highest Common Factor of 953,522,308 is 1

Step 1: Since 953 > 522, we apply the division lemma to 953 and 522, to get

953 = 522 x 1 + 431

Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 431 and 522, to get

522 = 431 x 1 + 91

Step 3: We consider the new divisor 431 and the new remainder 91, and apply the division lemma to get

431 = 91 x 4 + 67

We consider the new divisor 91 and the new remainder 67,and apply the division lemma to get

91 = 67 x 1 + 24

We consider the new divisor 67 and the new remainder 24,and apply the division lemma to get

67 = 24 x 2 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 953 and 522 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(67,24) = HCF(91,67) = HCF(431,91) = HCF(522,431) = HCF(953,522) .

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

Step 1: Since 308 > 1, we apply the division lemma to 308 and 1, to get

308 = 1 x 308 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 308 is 1

Notice that 1 = HCF(308,1) .

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Frequently Asked Questions on HCF of 953, 522, 308 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 953, 522, 308?

Answer: HCF of 953, 522, 308 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 953, 522, 308 using Euclid's Algorithm?

Answer: For arbitrary numbers 953, 522, 308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.