Highest Common Factor of 175, 996, 315 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 175, 996, 315 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 175, 996, 315 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 175, 996, 315 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 175, 996, 315 is 1.

HCF(175, 996, 315) = 1

HCF of 175, 996, 315 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 175, 996, 315 is 1.

Highest Common Factor of 175,996,315 using Euclid's algorithm

Highest Common Factor of 175,996,315 is 1

Step 1: Since 996 > 175, we apply the division lemma to 996 and 175, to get

996 = 175 x 5 + 121

Step 2: Since the reminder 175 ≠ 0, we apply division lemma to 121 and 175, to get

175 = 121 x 1 + 54

Step 3: We consider the new divisor 121 and the new remainder 54, and apply the division lemma to get

121 = 54 x 2 + 13

We consider the new divisor 54 and the new remainder 13,and apply the division lemma to get

54 = 13 x 4 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 175 and 996 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(54,13) = HCF(121,54) = HCF(175,121) = HCF(996,175) .

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

Step 1: Since 315 > 1, we apply the division lemma to 315 and 1, to get

315 = 1 x 315 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 315 is 1

Notice that 1 = HCF(315,1) .

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Frequently Asked Questions on HCF of 175, 996, 315 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 175, 996, 315?

Answer: HCF of 175, 996, 315 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 175, 996, 315 using Euclid's Algorithm?

Answer: For arbitrary numbers 175, 996, 315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.