Highest Common Factor of 948, 545, 880 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 948, 545, 880 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 948, 545, 880 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 948, 545, 880 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 948, 545, 880 is 1.

HCF(948, 545, 880) = 1

HCF of 948, 545, 880 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 948, 545, 880 is 1.

Highest Common Factor of 948,545,880 using Euclid's algorithm

Highest Common Factor of 948,545,880 is 1

Step 1: Since 948 > 545, we apply the division lemma to 948 and 545, to get

948 = 545 x 1 + 403

Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 403 and 545, to get

545 = 403 x 1 + 142

Step 3: We consider the new divisor 403 and the new remainder 142, and apply the division lemma to get

403 = 142 x 2 + 119

We consider the new divisor 142 and the new remainder 119,and apply the division lemma to get

142 = 119 x 1 + 23

We consider the new divisor 119 and the new remainder 23,and apply the division lemma to get

119 = 23 x 5 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 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 948 and 545 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(119,23) = HCF(142,119) = HCF(403,142) = HCF(545,403) = HCF(948,545) .

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

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

880 = 1 x 880 + 0

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

Notice that 1 = HCF(880,1) .

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Frequently Asked Questions on HCF of 948, 545, 880 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 948, 545, 880?

Answer: HCF of 948, 545, 880 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 948, 545, 880 using Euclid's Algorithm?

Answer: For arbitrary numbers 948, 545, 880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.