Highest Common Factor of 9772, 1660, 93076 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 9772, 1660, 93076 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 9772, 1660, 93076 is 4 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 9772, 1660, 93076 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 9772, 1660, 93076 is 4.

HCF(9772, 1660, 93076) = 4

HCF of 9772, 1660, 93076 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 9772, 1660, 93076 is 4.

Highest Common Factor of 9772,1660,93076 using Euclid's algorithm

Highest Common Factor of 9772,1660,93076 is 4

Step 1: Since 9772 > 1660, we apply the division lemma to 9772 and 1660, to get

9772 = 1660 x 5 + 1472

Step 2: Since the reminder 1660 ≠ 0, we apply division lemma to 1472 and 1660, to get

1660 = 1472 x 1 + 188

Step 3: We consider the new divisor 1472 and the new remainder 188, and apply the division lemma to get

1472 = 188 x 7 + 156

We consider the new divisor 188 and the new remainder 156,and apply the division lemma to get

188 = 156 x 1 + 32

We consider the new divisor 156 and the new remainder 32,and apply the division lemma to get

156 = 32 x 4 + 28

We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get

32 = 28 x 1 + 4

We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get

28 = 4 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9772 and 1660 is 4

Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(156,32) = HCF(188,156) = HCF(1472,188) = HCF(1660,1472) = HCF(9772,1660) .

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

Step 1: Since 93076 > 4, we apply the division lemma to 93076 and 4, to get

93076 = 4 x 23269 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 93076 is 4

Notice that 4 = HCF(93076,4) .

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Frequently Asked Questions on HCF of 9772, 1660, 93076 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 9772, 1660, 93076?

Answer: HCF of 9772, 1660, 93076 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9772, 1660, 93076 using Euclid's Algorithm?

Answer: For arbitrary numbers 9772, 1660, 93076 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.