Highest Common Factor of 695, 935, 705 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 695, 935, 705 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 695, 935, 705 is 5 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 695, 935, 705 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 695, 935, 705 is 5.

HCF(695, 935, 705) = 5

HCF of 695, 935, 705 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 695, 935, 705 is 5.

Highest Common Factor of 695,935,705 using Euclid's algorithm

Highest Common Factor of 695,935,705 is 5

Step 1: Since 935 > 695, we apply the division lemma to 935 and 695, to get

935 = 695 x 1 + 240

Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 240 and 695, to get

695 = 240 x 2 + 215

Step 3: We consider the new divisor 240 and the new remainder 215, and apply the division lemma to get

240 = 215 x 1 + 25

We consider the new divisor 215 and the new remainder 25,and apply the division lemma to get

215 = 25 x 8 + 15

We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get

25 = 15 x 1 + 10

We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 695 and 935 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(215,25) = HCF(240,215) = HCF(695,240) = HCF(935,695) .

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

Step 1: Since 705 > 5, we apply the division lemma to 705 and 5, to get

705 = 5 x 141 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 705 is 5

Notice that 5 = HCF(705,5) .

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Frequently Asked Questions on HCF of 695, 935, 705 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 695, 935, 705?

Answer: HCF of 695, 935, 705 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 695, 935, 705 using Euclid's Algorithm?

Answer: For arbitrary numbers 695, 935, 705 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.