Highest Common Factor of 424, 701, 66, 980 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 424, 701, 66, 980 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 424, 701, 66, 980 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 424, 701, 66, 980 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 424, 701, 66, 980 is 1.

HCF(424, 701, 66, 980) = 1

HCF of 424, 701, 66, 980 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 424, 701, 66, 980 is 1.

Highest Common Factor of 424,701,66,980 using Euclid's algorithm

Highest Common Factor of 424,701,66,980 is 1

Step 1: Since 701 > 424, we apply the division lemma to 701 and 424, to get

701 = 424 x 1 + 277

Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 277 and 424, to get

424 = 277 x 1 + 147

Step 3: We consider the new divisor 277 and the new remainder 147, and apply the division lemma to get

277 = 147 x 1 + 130

We consider the new divisor 147 and the new remainder 130,and apply the division lemma to get

147 = 130 x 1 + 17

We consider the new divisor 130 and the new remainder 17,and apply the division lemma to get

130 = 17 x 7 + 11

We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get

17 = 11 x 1 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 424 and 701 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(130,17) = HCF(147,130) = HCF(277,147) = HCF(424,277) = HCF(701,424) .

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

Step 1: Since 66 > 1, we apply the division lemma to 66 and 1, to get

66 = 1 x 66 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66 is 1

Notice that 1 = HCF(66,1) .

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

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

980 = 1 x 980 + 0

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

Notice that 1 = HCF(980,1) .

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Frequently Asked Questions on HCF of 424, 701, 66, 980 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 424, 701, 66, 980?

Answer: HCF of 424, 701, 66, 980 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 424, 701, 66, 980 using Euclid's Algorithm?

Answer: For arbitrary numbers 424, 701, 66, 980 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.