Highest Common Factor of 857, 759, 930 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 857, 759, 930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 857, 759, 930 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 857, 759, 930 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 857, 759, 930 is 1.

HCF(857, 759, 930) = 1

HCF of 857, 759, 930 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 857, 759, 930 is 1.

Highest Common Factor of 857,759,930 using Euclid's algorithm

Highest Common Factor of 857,759,930 is 1

Step 1: Since 857 > 759, we apply the division lemma to 857 and 759, to get

857 = 759 x 1 + 98

Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 98 and 759, to get

759 = 98 x 7 + 73

Step 3: We consider the new divisor 98 and the new remainder 73, and apply the division lemma to get

98 = 73 x 1 + 25

We consider the new divisor 73 and the new remainder 25,and apply the division lemma to get

73 = 25 x 2 + 23

We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get

25 = 23 x 1 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 857 and 759 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(73,25) = HCF(98,73) = HCF(759,98) = HCF(857,759) .

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

Step 1: Since 930 > 1, we apply the division lemma to 930 and 1, to get

930 = 1 x 930 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 930 is 1

Notice that 1 = HCF(930,1) .

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Frequently Asked Questions on HCF of 857, 759, 930 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 857, 759, 930?

Answer: HCF of 857, 759, 930 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 857, 759, 930 using Euclid's Algorithm?

Answer: For arbitrary numbers 857, 759, 930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.