Highest Common Factor of 989, 614, 482, 77 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 989, 614, 482, 77 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 989, 614, 482, 77 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 989, 614, 482, 77 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 989, 614, 482, 77 is 1.

HCF(989, 614, 482, 77) = 1

HCF of 989, 614, 482, 77 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 989, 614, 482, 77 is 1.

Highest Common Factor of 989,614,482,77 using Euclid's algorithm

Highest Common Factor of 989,614,482,77 is 1

Step 1: Since 989 > 614, we apply the division lemma to 989 and 614, to get

989 = 614 x 1 + 375

Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 375 and 614, to get

614 = 375 x 1 + 239

Step 3: We consider the new divisor 375 and the new remainder 239, and apply the division lemma to get

375 = 239 x 1 + 136

We consider the new divisor 239 and the new remainder 136,and apply the division lemma to get

239 = 136 x 1 + 103

We consider the new divisor 136 and the new remainder 103,and apply the division lemma to get

136 = 103 x 1 + 33

We consider the new divisor 103 and the new remainder 33,and apply the division lemma to get

103 = 33 x 3 + 4

We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get

33 = 4 x 8 + 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 989 and 614 is 1

Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(103,33) = HCF(136,103) = HCF(239,136) = HCF(375,239) = HCF(614,375) = HCF(989,614) .

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

Step 1: Since 482 > 1, we apply the division lemma to 482 and 1, to get

482 = 1 x 482 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 482 is 1

Notice that 1 = HCF(482,1) .

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

Step 1: Since 77 > 1, we apply the division lemma to 77 and 1, to get

77 = 1 x 77 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77 is 1

Notice that 1 = HCF(77,1) .

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Frequently Asked Questions on HCF of 989, 614, 482, 77 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 989, 614, 482, 77?

Answer: HCF of 989, 614, 482, 77 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 989, 614, 482, 77 using Euclid's Algorithm?

Answer: For arbitrary numbers 989, 614, 482, 77 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.