Highest Common Factor of 888, 641, 713 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 888, 641, 713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 888, 641, 713 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 888, 641, 713 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 888, 641, 713 is 1.

HCF(888, 641, 713) = 1

HCF of 888, 641, 713 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 888, 641, 713 is 1.

Highest Common Factor of 888,641,713 using Euclid's algorithm

Highest Common Factor of 888,641,713 is 1

Step 1: Since 888 > 641, we apply the division lemma to 888 and 641, to get

888 = 641 x 1 + 247

Step 2: Since the reminder 641 ≠ 0, we apply division lemma to 247 and 641, to get

641 = 247 x 2 + 147

Step 3: We consider the new divisor 247 and the new remainder 147, and apply the division lemma to get

247 = 147 x 1 + 100

We consider the new divisor 147 and the new remainder 100,and apply the division lemma to get

147 = 100 x 1 + 47

We consider the new divisor 100 and the new remainder 47,and apply the division lemma to get

100 = 47 x 2 + 6

We consider the new divisor 47 and the new remainder 6,and apply the division lemma to get

47 = 6 x 7 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 888 and 641 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(47,6) = HCF(100,47) = HCF(147,100) = HCF(247,147) = HCF(641,247) = HCF(888,641) .

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

Step 1: Since 713 > 1, we apply the division lemma to 713 and 1, to get

713 = 1 x 713 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 713 is 1

Notice that 1 = HCF(713,1) .

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Frequently Asked Questions on HCF of 888, 641, 713 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 888, 641, 713?

Answer: HCF of 888, 641, 713 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 888, 641, 713 using Euclid's Algorithm?

Answer: For arbitrary numbers 888, 641, 713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.