Highest Common Factor of 563, 985, 101 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 563, 985, 101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 563, 985, 101 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 563, 985, 101 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 563, 985, 101 is 1.

HCF(563, 985, 101) = 1

HCF of 563, 985, 101 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 563, 985, 101 is 1.

Highest Common Factor of 563,985,101 using Euclid's algorithm

Highest Common Factor of 563,985,101 is 1

Step 1: Since 985 > 563, we apply the division lemma to 985 and 563, to get

985 = 563 x 1 + 422

Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 422 and 563, to get

563 = 422 x 1 + 141

Step 3: We consider the new divisor 422 and the new remainder 141, and apply the division lemma to get

422 = 141 x 2 + 140

We consider the new divisor 141 and the new remainder 140,and apply the division lemma to get

141 = 140 x 1 + 1

We consider the new divisor 140 and the new remainder 1,and apply the division lemma to get

140 = 1 x 140 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 563 and 985 is 1

Notice that 1 = HCF(140,1) = HCF(141,140) = HCF(422,141) = HCF(563,422) = HCF(985,563) .


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

Step 1: Since 101 > 1, we apply the division lemma to 101 and 1, to get

101 = 1 x 101 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 101 is 1

Notice that 1 = HCF(101,1) .

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Frequently Asked Questions on HCF of 563, 985, 101 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 563, 985, 101?

Answer: HCF of 563, 985, 101 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 563, 985, 101 using Euclid's Algorithm?

Answer: For arbitrary numbers 563, 985, 101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.