Highest Common Factor of 852, 9937, 9428 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 852, 9937, 9428 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 852, 9937, 9428 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 852, 9937, 9428 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 852, 9937, 9428 is 1.

HCF(852, 9937, 9428) = 1

HCF of 852, 9937, 9428 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 852, 9937, 9428 is 1.

Highest Common Factor of 852,9937,9428 using Euclid's algorithm

Highest Common Factor of 852,9937,9428 is 1

Step 1: Since 9937 > 852, we apply the division lemma to 9937 and 852, to get

9937 = 852 x 11 + 565

Step 2: Since the reminder 852 ≠ 0, we apply division lemma to 565 and 852, to get

852 = 565 x 1 + 287

Step 3: We consider the new divisor 565 and the new remainder 287, and apply the division lemma to get

565 = 287 x 1 + 278

We consider the new divisor 287 and the new remainder 278,and apply the division lemma to get

287 = 278 x 1 + 9

We consider the new divisor 278 and the new remainder 9,and apply the division lemma to get

278 = 9 x 30 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 852 and 9937 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(278,9) = HCF(287,278) = HCF(565,287) = HCF(852,565) = HCF(9937,852) .

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

Step 1: Since 9428 > 1, we apply the division lemma to 9428 and 1, to get

9428 = 1 x 9428 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9428 is 1

Notice that 1 = HCF(9428,1) .

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Frequently Asked Questions on HCF of 852, 9937, 9428 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 852, 9937, 9428?

Answer: HCF of 852, 9937, 9428 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 852, 9937, 9428 using Euclid's Algorithm?

Answer: For arbitrary numbers 852, 9937, 9428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.