Highest Common Factor of 970, 615, 734, 189 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 970, 615, 734, 189 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 970, 615, 734, 189 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 970, 615, 734, 189 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 970, 615, 734, 189 is 1.

HCF(970, 615, 734, 189) = 1

HCF of 970, 615, 734, 189 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 970, 615, 734, 189 is 1.

Highest Common Factor of 970,615,734,189 using Euclid's algorithm

Highest Common Factor of 970,615,734,189 is 1

Step 1: Since 970 > 615, we apply the division lemma to 970 and 615, to get

970 = 615 x 1 + 355

Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 355 and 615, to get

615 = 355 x 1 + 260

Step 3: We consider the new divisor 355 and the new remainder 260, and apply the division lemma to get

355 = 260 x 1 + 95

We consider the new divisor 260 and the new remainder 95,and apply the division lemma to get

260 = 95 x 2 + 70

We consider the new divisor 95 and the new remainder 70,and apply the division lemma to get

95 = 70 x 1 + 25

We consider the new divisor 70 and the new remainder 25,and apply the division lemma to get

70 = 25 x 2 + 20

We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get

25 = 20 x 1 + 5

We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get

20 = 5 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 970 and 615 is 5

Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(70,25) = HCF(95,70) = HCF(260,95) = HCF(355,260) = HCF(615,355) = HCF(970,615) .

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

Step 1: Since 734 > 5, we apply the division lemma to 734 and 5, to get

734 = 5 x 146 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 734 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(734,5) .

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

Step 1: Since 189 > 1, we apply the division lemma to 189 and 1, to get

189 = 1 x 189 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 189 is 1

Notice that 1 = HCF(189,1) .

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Frequently Asked Questions on HCF of 970, 615, 734, 189 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 970, 615, 734, 189?

Answer: HCF of 970, 615, 734, 189 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 970, 615, 734, 189 using Euclid's Algorithm?

Answer: For arbitrary numbers 970, 615, 734, 189 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.