Highest Common Factor of 952, 703, 153 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 952, 703, 153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 952, 703, 153 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 952, 703, 153 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 952, 703, 153 is 1.

HCF(952, 703, 153) = 1

HCF of 952, 703, 153 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 952, 703, 153 is 1.

Highest Common Factor of 952,703,153 using Euclid's algorithm

Highest Common Factor of 952,703,153 is 1

Step 1: Since 952 > 703, we apply the division lemma to 952 and 703, to get

952 = 703 x 1 + 249

Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 249 and 703, to get

703 = 249 x 2 + 205

Step 3: We consider the new divisor 249 and the new remainder 205, and apply the division lemma to get

249 = 205 x 1 + 44

We consider the new divisor 205 and the new remainder 44,and apply the division lemma to get

205 = 44 x 4 + 29

We consider the new divisor 44 and the new remainder 29,and apply the division lemma to get

44 = 29 x 1 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 952 and 703 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(44,29) = HCF(205,44) = HCF(249,205) = HCF(703,249) = HCF(952,703) .

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

Step 1: Since 153 > 1, we apply the division lemma to 153 and 1, to get

153 = 1 x 153 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 153 is 1

Notice that 1 = HCF(153,1) .

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Frequently Asked Questions on HCF of 952, 703, 153 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 952, 703, 153?

Answer: HCF of 952, 703, 153 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 952, 703, 153 using Euclid's Algorithm?

Answer: For arbitrary numbers 952, 703, 153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.