Highest Common Factor of 101, 852, 532, 478 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 101, 852, 532, 478 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 101, 852, 532, 478 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 101, 852, 532, 478 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 101, 852, 532, 478 is 1.

HCF(101, 852, 532, 478) = 1

HCF of 101, 852, 532, 478 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 101, 852, 532, 478 is 1.

Highest Common Factor of 101,852,532,478 using Euclid's algorithm

Highest Common Factor of 101,852,532,478 is 1

Step 1: Since 852 > 101, we apply the division lemma to 852 and 101, to get

852 = 101 x 8 + 44

Step 2: Since the reminder 101 ≠ 0, we apply division lemma to 44 and 101, to get

101 = 44 x 2 + 13

Step 3: We consider the new divisor 44 and the new remainder 13, and apply the division lemma to get

44 = 13 x 3 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 101 and 852 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(44,13) = HCF(101,44) = HCF(852,101) .

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

Step 1: Since 532 > 1, we apply the division lemma to 532 and 1, to get

532 = 1 x 532 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 532 is 1

Notice that 1 = HCF(532,1) .

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

Step 1: Since 478 > 1, we apply the division lemma to 478 and 1, to get

478 = 1 x 478 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 478 is 1

Notice that 1 = HCF(478,1) .

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Frequently Asked Questions on HCF of 101, 852, 532, 478 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 101, 852, 532, 478?

Answer: HCF of 101, 852, 532, 478 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 101, 852, 532, 478 using Euclid's Algorithm?

Answer: For arbitrary numbers 101, 852, 532, 478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.