Highest Common Factor of 674, 482, 638, 141 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 674, 482, 638, 141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 674, 482, 638, 141 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 674, 482, 638, 141 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 674, 482, 638, 141 is 1.

HCF(674, 482, 638, 141) = 1

HCF of 674, 482, 638, 141 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 674, 482, 638, 141 is 1.

Highest Common Factor of 674,482,638,141 using Euclid's algorithm

Highest Common Factor of 674,482,638,141 is 1

Step 1: Since 674 > 482, we apply the division lemma to 674 and 482, to get

674 = 482 x 1 + 192

Step 2: Since the reminder 482 ≠ 0, we apply division lemma to 192 and 482, to get

482 = 192 x 2 + 98

Step 3: We consider the new divisor 192 and the new remainder 98, and apply the division lemma to get

192 = 98 x 1 + 94

We consider the new divisor 98 and the new remainder 94,and apply the division lemma to get

98 = 94 x 1 + 4

We consider the new divisor 94 and the new remainder 4,and apply the division lemma to get

94 = 4 x 23 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 674 and 482 is 2

Notice that 2 = HCF(4,2) = HCF(94,4) = HCF(98,94) = HCF(192,98) = HCF(482,192) = HCF(674,482) .

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

Step 1: Since 638 > 2, we apply the division lemma to 638 and 2, to get

638 = 2 x 319 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 638 is 2

Notice that 2 = HCF(638,2) .

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

Step 1: Since 141 > 2, we apply the division lemma to 141 and 2, to get

141 = 2 x 70 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 141 is 1

Notice that 1 = HCF(2,1) = HCF(141,2) .

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Frequently Asked Questions on HCF of 674, 482, 638, 141 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 674, 482, 638, 141?

Answer: HCF of 674, 482, 638, 141 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 674, 482, 638, 141 using Euclid's Algorithm?

Answer: For arbitrary numbers 674, 482, 638, 141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.