Highest Common Factor of 937, 564, 111 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 937, 564, 111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 937, 564, 111 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 937, 564, 111 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 937, 564, 111 is 1.

HCF(937, 564, 111) = 1

HCF of 937, 564, 111 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 937, 564, 111 is 1.

Highest Common Factor of 937,564,111 using Euclid's algorithm

Highest Common Factor of 937,564,111 is 1

Step 1: Since 937 > 564, we apply the division lemma to 937 and 564, to get

937 = 564 x 1 + 373

Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 373 and 564, to get

564 = 373 x 1 + 191

Step 3: We consider the new divisor 373 and the new remainder 191, and apply the division lemma to get

373 = 191 x 1 + 182

We consider the new divisor 191 and the new remainder 182,and apply the division lemma to get

191 = 182 x 1 + 9

We consider the new divisor 182 and the new remainder 9,and apply the division lemma to get

182 = 9 x 20 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 937 and 564 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(182,9) = HCF(191,182) = HCF(373,191) = HCF(564,373) = HCF(937,564) .

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

Step 1: Since 111 > 1, we apply the division lemma to 111 and 1, to get

111 = 1 x 111 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 111 is 1

Notice that 1 = HCF(111,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 937, 564, 111 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 937, 564, 111?

Answer: HCF of 937, 564, 111 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 937, 564, 111 using Euclid's Algorithm?

Answer: For arbitrary numbers 937, 564, 111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.