Highest Common Factor of 707, 3118, 3529 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 707, 3118, 3529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 707, 3118, 3529 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 707, 3118, 3529 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 707, 3118, 3529 is 1.

HCF(707, 3118, 3529) = 1

HCF of 707, 3118, 3529 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 707, 3118, 3529 is 1.

Highest Common Factor of 707,3118,3529 using Euclid's algorithm

Highest Common Factor of 707,3118,3529 is 1

Step 1: Since 3118 > 707, we apply the division lemma to 3118 and 707, to get

3118 = 707 x 4 + 290

Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 290 and 707, to get

707 = 290 x 2 + 127

Step 3: We consider the new divisor 290 and the new remainder 127, and apply the division lemma to get

290 = 127 x 2 + 36

We consider the new divisor 127 and the new remainder 36,and apply the division lemma to get

127 = 36 x 3 + 19

We consider the new divisor 36 and the new remainder 19,and apply the division lemma to get

36 = 19 x 1 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 707 and 3118 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(36,19) = HCF(127,36) = HCF(290,127) = HCF(707,290) = HCF(3118,707) .

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

Step 1: Since 3529 > 1, we apply the division lemma to 3529 and 1, to get

3529 = 1 x 3529 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3529 is 1

Notice that 1 = HCF(3529,1) .

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Frequently Asked Questions on HCF of 707, 3118, 3529 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 707, 3118, 3529?

Answer: HCF of 707, 3118, 3529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 707, 3118, 3529 using Euclid's Algorithm?

Answer: For arbitrary numbers 707, 3118, 3529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.