Highest Common Factor of 865, 328, 253, 101 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 865, 328, 253, 101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 865, 328, 253, 101 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 865, 328, 253, 101 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 865, 328, 253, 101 is 1.

HCF(865, 328, 253, 101) = 1

HCF of 865, 328, 253, 101 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 865, 328, 253, 101 is 1.

Highest Common Factor of 865,328,253,101 using Euclid's algorithm

Highest Common Factor of 865,328,253,101 is 1

Step 1: Since 865 > 328, we apply the division lemma to 865 and 328, to get

865 = 328 x 2 + 209

Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 209 and 328, to get

328 = 209 x 1 + 119

Step 3: We consider the new divisor 209 and the new remainder 119, and apply the division lemma to get

209 = 119 x 1 + 90

We consider the new divisor 119 and the new remainder 90,and apply the division lemma to get

119 = 90 x 1 + 29

We consider the new divisor 90 and the new remainder 29,and apply the division lemma to get

90 = 29 x 3 + 3

We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get

29 = 3 x 9 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 865 and 328 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(90,29) = HCF(119,90) = HCF(209,119) = HCF(328,209) = HCF(865,328) .

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

Step 1: Since 253 > 1, we apply the division lemma to 253 and 1, to get

253 = 1 x 253 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 253 is 1

Notice that 1 = HCF(253,1) .

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

Step 1: Since 101 > 1, we apply the division lemma to 101 and 1, to get

101 = 1 x 101 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 101 is 1

Notice that 1 = HCF(101,1) .

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Frequently Asked Questions on HCF of 865, 328, 253, 101 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 865, 328, 253, 101?

Answer: HCF of 865, 328, 253, 101 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 865, 328, 253, 101 using Euclid's Algorithm?

Answer: For arbitrary numbers 865, 328, 253, 101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.