Highest Common Factor of 730, 947, 963, 13 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 730, 947, 963, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 730, 947, 963, 13 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 730, 947, 963, 13 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 730, 947, 963, 13 is 1.

HCF(730, 947, 963, 13) = 1

HCF of 730, 947, 963, 13 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 730, 947, 963, 13 is 1.

Highest Common Factor of 730,947,963,13 using Euclid's algorithm

Highest Common Factor of 730,947,963,13 is 1

Step 1: Since 947 > 730, we apply the division lemma to 947 and 730, to get

947 = 730 x 1 + 217

Step 2: Since the reminder 730 ≠ 0, we apply division lemma to 217 and 730, to get

730 = 217 x 3 + 79

Step 3: We consider the new divisor 217 and the new remainder 79, and apply the division lemma to get

217 = 79 x 2 + 59

We consider the new divisor 79 and the new remainder 59,and apply the division lemma to get

79 = 59 x 1 + 20

We consider the new divisor 59 and the new remainder 20,and apply the division lemma to get

59 = 20 x 2 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma 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 730 and 947 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(59,20) = HCF(79,59) = HCF(217,79) = HCF(730,217) = HCF(947,730) .

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

Step 1: Since 963 > 1, we apply the division lemma to 963 and 1, to get

963 = 1 x 963 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 963 is 1

Notice that 1 = HCF(963,1) .

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

Step 1: Since 13 > 1, we apply the division lemma to 13 and 1, to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13 is 1

Notice that 1 = HCF(13,1) .

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Frequently Asked Questions on HCF of 730, 947, 963, 13 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 730, 947, 963, 13?

Answer: HCF of 730, 947, 963, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 730, 947, 963, 13 using Euclid's Algorithm?

Answer: For arbitrary numbers 730, 947, 963, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.