Highest Common Factor of 3322, 7077, 97949 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 3322, 7077, 97949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3322, 7077, 97949 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 3322, 7077, 97949 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 3322, 7077, 97949 is 1.

HCF(3322, 7077, 97949) = 1

HCF of 3322, 7077, 97949 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 3322, 7077, 97949 is 1.

Highest Common Factor of 3322,7077,97949 using Euclid's algorithm

Highest Common Factor of 3322,7077,97949 is 1

Step 1: Since 7077 > 3322, we apply the division lemma to 7077 and 3322, to get

7077 = 3322 x 2 + 433

Step 2: Since the reminder 3322 ≠ 0, we apply division lemma to 433 and 3322, to get

3322 = 433 x 7 + 291

Step 3: We consider the new divisor 433 and the new remainder 291, and apply the division lemma to get

433 = 291 x 1 + 142

We consider the new divisor 291 and the new remainder 142,and apply the division lemma to get

291 = 142 x 2 + 7

We consider the new divisor 142 and the new remainder 7,and apply the division lemma to get

142 = 7 x 20 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3322 and 7077 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(142,7) = HCF(291,142) = HCF(433,291) = HCF(3322,433) = HCF(7077,3322) .

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

Step 1: Since 97949 > 1, we apply the division lemma to 97949 and 1, to get

97949 = 1 x 97949 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97949 is 1

Notice that 1 = HCF(97949,1) .

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Frequently Asked Questions on HCF of 3322, 7077, 97949 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 3322, 7077, 97949?

Answer: HCF of 3322, 7077, 97949 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3322, 7077, 97949 using Euclid's Algorithm?

Answer: For arbitrary numbers 3322, 7077, 97949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.