Highest Common Factor of 316, 480, 888 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 316, 480, 888 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 316, 480, 888 is 4 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 316, 480, 888 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 316, 480, 888 is 4.

HCF(316, 480, 888) = 4

HCF of 316, 480, 888 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 316, 480, 888 is 4.

Highest Common Factor of 316,480,888 using Euclid's algorithm

Highest Common Factor of 316,480,888 is 4

Step 1: Since 480 > 316, we apply the division lemma to 480 and 316, to get

480 = 316 x 1 + 164

Step 2: Since the reminder 316 ≠ 0, we apply division lemma to 164 and 316, to get

316 = 164 x 1 + 152

Step 3: We consider the new divisor 164 and the new remainder 152, and apply the division lemma to get

164 = 152 x 1 + 12

We consider the new divisor 152 and the new remainder 12,and apply the division lemma to get

152 = 12 x 12 + 8

We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get

12 = 8 x 1 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 316 and 480 is 4

Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(152,12) = HCF(164,152) = HCF(316,164) = HCF(480,316) .

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

Step 1: Since 888 > 4, we apply the division lemma to 888 and 4, to get

888 = 4 x 222 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 888 is 4

Notice that 4 = HCF(888,4) .

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Frequently Asked Questions on HCF of 316, 480, 888 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 316, 480, 888?

Answer: HCF of 316, 480, 888 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 316, 480, 888 using Euclid's Algorithm?

Answer: For arbitrary numbers 316, 480, 888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.