Highest Common Factor of 872, 327, 907 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 872, 327, 907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 872, 327, 907 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 872, 327, 907 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 872, 327, 907 is 1.

HCF(872, 327, 907) = 1

HCF of 872, 327, 907 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 872, 327, 907 is 1.

Highest Common Factor of 872,327,907 using Euclid's algorithm

Highest Common Factor of 872,327,907 is 1

Step 1: Since 872 > 327, we apply the division lemma to 872 and 327, to get

872 = 327 x 2 + 218

Step 2: Since the reminder 327 ≠ 0, we apply division lemma to 218 and 327, to get

327 = 218 x 1 + 109

Step 3: We consider the new divisor 218 and the new remainder 109, and apply the division lemma to get

218 = 109 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 109, the HCF of 872 and 327 is 109

Notice that 109 = HCF(218,109) = HCF(327,218) = HCF(872,327) .

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

Step 1: Since 907 > 109, we apply the division lemma to 907 and 109, to get

907 = 109 x 8 + 35

Step 2: Since the reminder 109 ≠ 0, we apply division lemma to 35 and 109, to get

109 = 35 x 3 + 4

Step 3: We consider the new divisor 35 and the new remainder 4, and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 109 and 907 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(109,35) = HCF(907,109) .

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Frequently Asked Questions on HCF of 872, 327, 907 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 872, 327, 907?

Answer: HCF of 872, 327, 907 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 872, 327, 907 using Euclid's Algorithm?

Answer: For arbitrary numbers 872, 327, 907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.