Highest Common Factor of 977, 1512, 9030 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 977, 1512, 9030 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 977, 1512, 9030 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 977, 1512, 9030 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 977, 1512, 9030 is 1.

HCF(977, 1512, 9030) = 1

HCF of 977, 1512, 9030 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 977, 1512, 9030 is 1.

Highest Common Factor of 977,1512,9030 using Euclid's algorithm

Highest Common Factor of 977,1512,9030 is 1

Step 1: Since 1512 > 977, we apply the division lemma to 1512 and 977, to get

1512 = 977 x 1 + 535

Step 2: Since the reminder 977 ≠ 0, we apply division lemma to 535 and 977, to get

977 = 535 x 1 + 442

Step 3: We consider the new divisor 535 and the new remainder 442, and apply the division lemma to get

535 = 442 x 1 + 93

We consider the new divisor 442 and the new remainder 93,and apply the division lemma to get

442 = 93 x 4 + 70

We consider the new divisor 93 and the new remainder 70,and apply the division lemma to get

93 = 70 x 1 + 23

We consider the new divisor 70 and the new remainder 23,and apply the division lemma to get

70 = 23 x 3 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 977 and 1512 is 1

Notice that 1 = HCF(23,1) = HCF(70,23) = HCF(93,70) = HCF(442,93) = HCF(535,442) = HCF(977,535) = HCF(1512,977) .

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

Step 1: Since 9030 > 1, we apply the division lemma to 9030 and 1, to get

9030 = 1 x 9030 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9030 is 1

Notice that 1 = HCF(9030,1) .

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Frequently Asked Questions on HCF of 977, 1512, 9030 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 977, 1512, 9030?

Answer: HCF of 977, 1512, 9030 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 977, 1512, 9030 using Euclid's Algorithm?

Answer: For arbitrary numbers 977, 1512, 9030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.