Highest Common Factor of 3280, 4459, 97131 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 3280, 4459, 97131 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3280, 4459, 97131 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 3280, 4459, 97131 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 3280, 4459, 97131 is 1.

HCF(3280, 4459, 97131) = 1

HCF of 3280, 4459, 97131 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 3280, 4459, 97131 is 1.

Highest Common Factor of 3280,4459,97131 using Euclid's algorithm

Highest Common Factor of 3280,4459,97131 is 1

Step 1: Since 4459 > 3280, we apply the division lemma to 4459 and 3280, to get

4459 = 3280 x 1 + 1179

Step 2: Since the reminder 3280 ≠ 0, we apply division lemma to 1179 and 3280, to get

3280 = 1179 x 2 + 922

Step 3: We consider the new divisor 1179 and the new remainder 922, and apply the division lemma to get

1179 = 922 x 1 + 257

We consider the new divisor 922 and the new remainder 257,and apply the division lemma to get

922 = 257 x 3 + 151

We consider the new divisor 257 and the new remainder 151,and apply the division lemma to get

257 = 151 x 1 + 106

We consider the new divisor 151 and the new remainder 106,and apply the division lemma to get

151 = 106 x 1 + 45

We consider the new divisor 106 and the new remainder 45,and apply the division lemma to get

106 = 45 x 2 + 16

We consider the new divisor 45 and the new remainder 16,and apply the division lemma to get

45 = 16 x 2 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3280 and 4459 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(45,16) = HCF(106,45) = HCF(151,106) = HCF(257,151) = HCF(922,257) = HCF(1179,922) = HCF(3280,1179) = HCF(4459,3280) .

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

Step 1: Since 97131 > 1, we apply the division lemma to 97131 and 1, to get

97131 = 1 x 97131 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97131 is 1

Notice that 1 = HCF(97131,1) .

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Frequently Asked Questions on HCF of 3280, 4459, 97131 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 3280, 4459, 97131?

Answer: HCF of 3280, 4459, 97131 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3280, 4459, 97131 using Euclid's Algorithm?

Answer: For arbitrary numbers 3280, 4459, 97131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.