Highest Common Factor of 735, 953, 888 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 735, 953, 888 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 735, 953, 888 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 735, 953, 888 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 735, 953, 888 is 1.

HCF(735, 953, 888) = 1

HCF of 735, 953, 888 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 735, 953, 888 is 1.

Highest Common Factor of 735,953,888 using Euclid's algorithm

Highest Common Factor of 735,953,888 is 1

Step 1: Since 953 > 735, we apply the division lemma to 953 and 735, to get

953 = 735 x 1 + 218

Step 2: Since the reminder 735 ≠ 0, we apply division lemma to 218 and 735, to get

735 = 218 x 3 + 81

Step 3: We consider the new divisor 218 and the new remainder 81, and apply the division lemma to get

218 = 81 x 2 + 56

We consider the new divisor 81 and the new remainder 56,and apply the division lemma to get

81 = 56 x 1 + 25

We consider the new divisor 56 and the new remainder 25,and apply the division lemma to get

56 = 25 x 2 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 735 and 953 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(56,25) = HCF(81,56) = HCF(218,81) = HCF(735,218) = HCF(953,735) .

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

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

888 = 1 x 888 + 0

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

Notice that 1 = HCF(888,1) .

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Frequently Asked Questions on HCF of 735, 953, 888 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 735, 953, 888?

Answer: HCF of 735, 953, 888 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 735, 953, 888 using Euclid's Algorithm?

Answer: For arbitrary numbers 735, 953, 888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.