Highest Common Factor of 958, 707, 152 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 958, 707, 152 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 958, 707, 152 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 958, 707, 152 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 958, 707, 152 is 1.

HCF(958, 707, 152) = 1

HCF of 958, 707, 152 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 958, 707, 152 is 1.

Highest Common Factor of 958,707,152 using Euclid's algorithm

Highest Common Factor of 958,707,152 is 1

Step 1: Since 958 > 707, we apply the division lemma to 958 and 707, to get

958 = 707 x 1 + 251

Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 251 and 707, to get

707 = 251 x 2 + 205

Step 3: We consider the new divisor 251 and the new remainder 205, and apply the division lemma to get

251 = 205 x 1 + 46

We consider the new divisor 205 and the new remainder 46,and apply the division lemma to get

205 = 46 x 4 + 21

We consider the new divisor 46 and the new remainder 21,and apply the division lemma to get

46 = 21 x 2 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 958 and 707 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(46,21) = HCF(205,46) = HCF(251,205) = HCF(707,251) = HCF(958,707) .

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

Step 1: Since 152 > 1, we apply the division lemma to 152 and 1, to get

152 = 1 x 152 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 152 is 1

Notice that 1 = HCF(152,1) .

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Frequently Asked Questions on HCF of 958, 707, 152 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 958, 707, 152?

Answer: HCF of 958, 707, 152 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 958, 707, 152 using Euclid's Algorithm?

Answer: For arbitrary numbers 958, 707, 152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.