Highest Common Factor of 352, 242, 635 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 352, 242, 635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 352, 242, 635 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 352, 242, 635 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 352, 242, 635 is 1.

HCF(352, 242, 635) = 1

HCF of 352, 242, 635 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 352, 242, 635 is 1.

Highest Common Factor of 352,242,635 using Euclid's algorithm

Highest Common Factor of 352,242,635 is 1

Step 1: Since 352 > 242, we apply the division lemma to 352 and 242, to get

352 = 242 x 1 + 110

Step 2: Since the reminder 242 ≠ 0, we apply division lemma to 110 and 242, to get

242 = 110 x 2 + 22

Step 3: We consider the new divisor 110 and the new remainder 22, and apply the division lemma to get

110 = 22 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 352 and 242 is 22

Notice that 22 = HCF(110,22) = HCF(242,110) = HCF(352,242) .

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

Step 1: Since 635 > 22, we apply the division lemma to 635 and 22, to get

635 = 22 x 28 + 19

Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 19 and 22, to get

22 = 19 x 1 + 3

Step 3: We consider the new divisor 19 and the new remainder 3, and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 22 and 635 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(635,22) .

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Frequently Asked Questions on HCF of 352, 242, 635 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 352, 242, 635?

Answer: HCF of 352, 242, 635 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 352, 242, 635 using Euclid's Algorithm?

Answer: For arbitrary numbers 352, 242, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.