Highest Common Factor of 659, 932, 84, 970 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 659, 932, 84, 970 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 659, 932, 84, 970 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 659, 932, 84, 970 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 659, 932, 84, 970 is 1.

HCF(659, 932, 84, 970) = 1

HCF of 659, 932, 84, 970 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 659, 932, 84, 970 is 1.

Highest Common Factor of 659,932,84,970 using Euclid's algorithm

Highest Common Factor of 659,932,84,970 is 1

Step 1: Since 932 > 659, we apply the division lemma to 932 and 659, to get

932 = 659 x 1 + 273

Step 2: Since the reminder 659 ≠ 0, we apply division lemma to 273 and 659, to get

659 = 273 x 2 + 113

Step 3: We consider the new divisor 273 and the new remainder 113, and apply the division lemma to get

273 = 113 x 2 + 47

We consider the new divisor 113 and the new remainder 47,and apply the division lemma to get

113 = 47 x 2 + 19

We consider the new divisor 47 and the new remainder 19,and apply the division lemma to get

47 = 19 x 2 + 9

We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get

19 = 9 x 2 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 659 and 932 is 1

Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(47,19) = HCF(113,47) = HCF(273,113) = HCF(659,273) = HCF(932,659) .

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

Step 1: Since 84 > 1, we apply the division lemma to 84 and 1, to get

84 = 1 x 84 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84 is 1

Notice that 1 = HCF(84,1) .

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

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

970 = 1 x 970 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 970 is 1

Notice that 1 = HCF(970,1) .

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Frequently Asked Questions on HCF of 659, 932, 84, 970 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 659, 932, 84, 970?

Answer: HCF of 659, 932, 84, 970 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 659, 932, 84, 970 using Euclid's Algorithm?

Answer: For arbitrary numbers 659, 932, 84, 970 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.