Highest Common Factor of 934, 580, 431, 77 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 934, 580, 431, 77 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 934, 580, 431, 77 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 934, 580, 431, 77 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 934, 580, 431, 77 is 1.

HCF(934, 580, 431, 77) = 1

HCF of 934, 580, 431, 77 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 934, 580, 431, 77 is 1.

Highest Common Factor of 934,580,431,77 using Euclid's algorithm

Highest Common Factor of 934,580,431,77 is 1

Step 1: Since 934 > 580, we apply the division lemma to 934 and 580, to get

934 = 580 x 1 + 354

Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 354 and 580, to get

580 = 354 x 1 + 226

Step 3: We consider the new divisor 354 and the new remainder 226, and apply the division lemma to get

354 = 226 x 1 + 128

We consider the new divisor 226 and the new remainder 128,and apply the division lemma to get

226 = 128 x 1 + 98

We consider the new divisor 128 and the new remainder 98,and apply the division lemma to get

128 = 98 x 1 + 30

We consider the new divisor 98 and the new remainder 30,and apply the division lemma to get

98 = 30 x 3 + 8

We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get

30 = 8 x 3 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 934 and 580 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(98,30) = HCF(128,98) = HCF(226,128) = HCF(354,226) = HCF(580,354) = HCF(934,580) .

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

Step 1: Since 431 > 2, we apply the division lemma to 431 and 2, to get

431 = 2 x 215 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 431 is 1

Notice that 1 = HCF(2,1) = HCF(431,2) .

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

Step 1: Since 77 > 1, we apply the division lemma to 77 and 1, to get

77 = 1 x 77 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77 is 1

Notice that 1 = HCF(77,1) .

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Frequently Asked Questions on HCF of 934, 580, 431, 77 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 934, 580, 431, 77?

Answer: HCF of 934, 580, 431, 77 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 934, 580, 431, 77 using Euclid's Algorithm?

Answer: For arbitrary numbers 934, 580, 431, 77 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.