Highest Common Factor of 685, 379, 713, 959 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 685, 379, 713, 959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 685, 379, 713, 959 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 685, 379, 713, 959 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 685, 379, 713, 959 is 1.

HCF(685, 379, 713, 959) = 1

HCF of 685, 379, 713, 959 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 685, 379, 713, 959 is 1.

Highest Common Factor of 685,379,713,959 using Euclid's algorithm

Highest Common Factor of 685,379,713,959 is 1

Step 1: Since 685 > 379, we apply the division lemma to 685 and 379, to get

685 = 379 x 1 + 306

Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 306 and 379, to get

379 = 306 x 1 + 73

Step 3: We consider the new divisor 306 and the new remainder 73, and apply the division lemma to get

306 = 73 x 4 + 14

We consider the new divisor 73 and the new remainder 14,and apply the division lemma to get

73 = 14 x 5 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 685 and 379 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(73,14) = HCF(306,73) = HCF(379,306) = HCF(685,379) .

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

Step 1: Since 713 > 1, we apply the division lemma to 713 and 1, to get

713 = 1 x 713 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 713 is 1

Notice that 1 = HCF(713,1) .

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

Step 1: Since 959 > 1, we apply the division lemma to 959 and 1, to get

959 = 1 x 959 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 959 is 1

Notice that 1 = HCF(959,1) .

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Frequently Asked Questions on HCF of 685, 379, 713, 959 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 685, 379, 713, 959?

Answer: HCF of 685, 379, 713, 959 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 685, 379, 713, 959 using Euclid's Algorithm?

Answer: For arbitrary numbers 685, 379, 713, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.