Highest Common Factor of 695, 888, 372 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, 888, 372 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 695, 888, 372 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 695, 888, 372 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, 888, 372 is 1.

HCF(695, 888, 372) = 1

HCF of 695, 888, 372 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, 888, 372 is 1.

Highest Common Factor of 695,888,372 using Euclid's algorithm

Highest Common Factor of 695,888,372 is 1

Step 1: Since 888 > 695, we apply the division lemma to 888 and 695, to get

888 = 695 x 1 + 193

Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 193 and 695, to get

695 = 193 x 3 + 116

Step 3: We consider the new divisor 193 and the new remainder 116, and apply the division lemma to get

193 = 116 x 1 + 77

We consider the new divisor 116 and the new remainder 77,and apply the division lemma to get

116 = 77 x 1 + 39

We consider the new divisor 77 and the new remainder 39,and apply the division lemma to get

77 = 39 x 1 + 38

We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get

39 = 38 x 1 + 1

We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get

38 = 1 x 38 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 695 and 888 is 1

Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(77,39) = HCF(116,77) = HCF(193,116) = HCF(695,193) = HCF(888,695) .

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

Step 1: Since 372 > 1, we apply the division lemma to 372 and 1, to get

372 = 1 x 372 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 372 is 1

Notice that 1 = HCF(372,1) .

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Frequently Asked Questions on HCF of 695, 888, 372 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, 888, 372?

Answer: HCF of 695, 888, 372 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 695, 888, 372 using Euclid's Algorithm?

Answer: For arbitrary numbers 695, 888, 372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.