Highest Common Factor of 340, 581, 88 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 340, 581, 88 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 340, 581, 88 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 340, 581, 88 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 340, 581, 88 is 1.

HCF(340, 581, 88) = 1

HCF of 340, 581, 88 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 340, 581, 88 is 1.

Highest Common Factor of 340,581,88 using Euclid's algorithm

Highest Common Factor of 340,581,88 is 1

Step 1: Since 581 > 340, we apply the division lemma to 581 and 340, to get

581 = 340 x 1 + 241

Step 2: Since the reminder 340 ≠ 0, we apply division lemma to 241 and 340, to get

340 = 241 x 1 + 99

Step 3: We consider the new divisor 241 and the new remainder 99, and apply the division lemma to get

241 = 99 x 2 + 43

We consider the new divisor 99 and the new remainder 43,and apply the division lemma to get

99 = 43 x 2 + 13

We consider the new divisor 43 and the new remainder 13,and apply the division lemma to get

43 = 13 x 3 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 340 and 581 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(99,43) = HCF(241,99) = HCF(340,241) = HCF(581,340) .

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

Step 1: Since 88 > 1, we apply the division lemma to 88 and 1, to get

88 = 1 x 88 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88 is 1

Notice that 1 = HCF(88,1) .

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Frequently Asked Questions on HCF of 340, 581, 88 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 340, 581, 88?

Answer: HCF of 340, 581, 88 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 340, 581, 88 using Euclid's Algorithm?

Answer: For arbitrary numbers 340, 581, 88 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.