Highest Common Factor of 980, 597, 598, 655 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 980, 597, 598, 655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 980, 597, 598, 655 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 980, 597, 598, 655 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 980, 597, 598, 655 is 1.

HCF(980, 597, 598, 655) = 1

HCF of 980, 597, 598, 655 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 980, 597, 598, 655 is 1.

Highest Common Factor of 980,597,598,655 using Euclid's algorithm

Highest Common Factor of 980,597,598,655 is 1

Step 1: Since 980 > 597, we apply the division lemma to 980 and 597, to get

980 = 597 x 1 + 383

Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 383 and 597, to get

597 = 383 x 1 + 214

Step 3: We consider the new divisor 383 and the new remainder 214, and apply the division lemma to get

383 = 214 x 1 + 169

We consider the new divisor 214 and the new remainder 169,and apply the division lemma to get

214 = 169 x 1 + 45

We consider the new divisor 169 and the new remainder 45,and apply the division lemma to get

169 = 45 x 3 + 34

We consider the new divisor 45 and the new remainder 34,and apply the division lemma to get

45 = 34 x 1 + 11

We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get

34 = 11 x 3 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 980 and 597 is 1

Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(45,34) = HCF(169,45) = HCF(214,169) = HCF(383,214) = HCF(597,383) = HCF(980,597) .

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

Step 1: Since 598 > 1, we apply the division lemma to 598 and 1, to get

598 = 1 x 598 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 598 is 1

Notice that 1 = HCF(598,1) .

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

Step 1: Since 655 > 1, we apply the division lemma to 655 and 1, to get

655 = 1 x 655 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 655 is 1

Notice that 1 = HCF(655,1) .

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Frequently Asked Questions on HCF of 980, 597, 598, 655 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 980, 597, 598, 655?

Answer: HCF of 980, 597, 598, 655 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 980, 597, 598, 655 using Euclid's Algorithm?

Answer: For arbitrary numbers 980, 597, 598, 655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.