Highest Common Factor of 584, 340, 452 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 584, 340, 452 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 584, 340, 452 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 584, 340, 452 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 584, 340, 452 is 4.

HCF(584, 340, 452) = 4

HCF of 584, 340, 452 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 584, 340, 452 is 4.

Highest Common Factor of 584,340,452 using Euclid's algorithm

Highest Common Factor of 584,340,452 is 4

Step 1: Since 584 > 340, we apply the division lemma to 584 and 340, to get

584 = 340 x 1 + 244

Step 2: Since the reminder 340 ≠ 0, we apply division lemma to 244 and 340, to get

340 = 244 x 1 + 96

Step 3: We consider the new divisor 244 and the new remainder 96, and apply the division lemma to get

244 = 96 x 2 + 52

We consider the new divisor 96 and the new remainder 52,and apply the division lemma to get

96 = 52 x 1 + 44

We consider the new divisor 52 and the new remainder 44,and apply the division lemma to get

52 = 44 x 1 + 8

We consider the new divisor 44 and the new remainder 8,and apply the division lemma to get

44 = 8 x 5 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 584 and 340 is 4

Notice that 4 = HCF(8,4) = HCF(44,8) = HCF(52,44) = HCF(96,52) = HCF(244,96) = HCF(340,244) = HCF(584,340) .

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

Step 1: Since 452 > 4, we apply the division lemma to 452 and 4, to get

452 = 4 x 113 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 452 is 4

Notice that 4 = HCF(452,4) .

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Frequently Asked Questions on HCF of 584, 340, 452 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 584, 340, 452?

Answer: HCF of 584, 340, 452 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 584, 340, 452 using Euclid's Algorithm?

Answer: For arbitrary numbers 584, 340, 452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.