Highest Common Factor of 935, 595, 991 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 935, 595, 991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 935, 595, 991 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 935, 595, 991 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 935, 595, 991 is 1.

HCF(935, 595, 991) = 1

HCF of 935, 595, 991 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 935, 595, 991 is 1.

Highest Common Factor of 935,595,991 using Euclid's algorithm

Highest Common Factor of 935,595,991 is 1

Step 1: Since 935 > 595, we apply the division lemma to 935 and 595, to get

935 = 595 x 1 + 340

Step 2: Since the reminder 595 ≠ 0, we apply division lemma to 340 and 595, to get

595 = 340 x 1 + 255

Step 3: We consider the new divisor 340 and the new remainder 255, and apply the division lemma to get

340 = 255 x 1 + 85

We consider the new divisor 255 and the new remainder 85, and apply the division lemma to get

255 = 85 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 85, the HCF of 935 and 595 is 85

Notice that 85 = HCF(255,85) = HCF(340,255) = HCF(595,340) = HCF(935,595) .

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

Step 1: Since 991 > 85, we apply the division lemma to 991 and 85, to get

991 = 85 x 11 + 56

Step 2: Since the reminder 85 ≠ 0, we apply division lemma to 56 and 85, to get

85 = 56 x 1 + 29

Step 3: We consider the new divisor 56 and the new remainder 29, and apply the division lemma to get

56 = 29 x 1 + 27

We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get

29 = 27 x 1 + 2

We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get

27 = 2 x 13 + 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 85 and 991 is 1

Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(56,29) = HCF(85,56) = HCF(991,85) .

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Frequently Asked Questions on HCF of 935, 595, 991 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 935, 595, 991?

Answer: HCF of 935, 595, 991 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 935, 595, 991 using Euclid's Algorithm?

Answer: For arbitrary numbers 935, 595, 991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.