Highest Common Factor of 880, 4459, 8956 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 880, 4459, 8956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 880, 4459, 8956 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 880, 4459, 8956 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 880, 4459, 8956 is 1.

HCF(880, 4459, 8956) = 1

HCF of 880, 4459, 8956 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 880, 4459, 8956 is 1.

Highest Common Factor of 880,4459,8956 using Euclid's algorithm

Highest Common Factor of 880,4459,8956 is 1

Step 1: Since 4459 > 880, we apply the division lemma to 4459 and 880, to get

4459 = 880 x 5 + 59

Step 2: Since the reminder 880 ≠ 0, we apply division lemma to 59 and 880, to get

880 = 59 x 14 + 54

Step 3: We consider the new divisor 59 and the new remainder 54, and apply the division lemma to get

59 = 54 x 1 + 5

We consider the new divisor 54 and the new remainder 5,and apply the division lemma to get

54 = 5 x 10 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 880 and 4459 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(54,5) = HCF(59,54) = HCF(880,59) = HCF(4459,880) .

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

Step 1: Since 8956 > 1, we apply the division lemma to 8956 and 1, to get

8956 = 1 x 8956 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8956 is 1

Notice that 1 = HCF(8956,1) .

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Frequently Asked Questions on HCF of 880, 4459, 8956 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 880, 4459, 8956?

Answer: HCF of 880, 4459, 8956 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 880, 4459, 8956 using Euclid's Algorithm?

Answer: For arbitrary numbers 880, 4459, 8956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.