Highest Common Factor of 370, 963, 87 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 370, 963, 87 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 370, 963, 87 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 370, 963, 87 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 370, 963, 87 is 1.

HCF(370, 963, 87) = 1

HCF of 370, 963, 87 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 370, 963, 87 is 1.

Highest Common Factor of 370,963,87 using Euclid's algorithm

Highest Common Factor of 370,963,87 is 1

Step 1: Since 963 > 370, we apply the division lemma to 963 and 370, to get

963 = 370 x 2 + 223

Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 223 and 370, to get

370 = 223 x 1 + 147

Step 3: We consider the new divisor 223 and the new remainder 147, and apply the division lemma to get

223 = 147 x 1 + 76

We consider the new divisor 147 and the new remainder 76,and apply the division lemma to get

147 = 76 x 1 + 71

We consider the new divisor 76 and the new remainder 71,and apply the division lemma to get

76 = 71 x 1 + 5

We consider the new divisor 71 and the new remainder 5,and apply the division lemma to get

71 = 5 x 14 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 370 and 963 is 1

Notice that 1 = HCF(5,1) = HCF(71,5) = HCF(76,71) = HCF(147,76) = HCF(223,147) = HCF(370,223) = HCF(963,370) .

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

Step 1: Since 87 > 1, we apply the division lemma to 87 and 1, to get

87 = 1 x 87 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87 is 1

Notice that 1 = HCF(87,1) .

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Frequently Asked Questions on HCF of 370, 963, 87 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 370, 963, 87?

Answer: HCF of 370, 963, 87 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 370, 963, 87 using Euclid's Algorithm?

Answer: For arbitrary numbers 370, 963, 87 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.