Highest Common Factor of 937, 4370, 4818 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, 4370, 4818 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 937, 4370, 4818 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, 4370, 4818 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, 4370, 4818 is 1.

HCF(937, 4370, 4818) = 1

HCF of 937, 4370, 4818 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, 4370, 4818 is 1.

Highest Common Factor of 937,4370,4818 using Euclid's algorithm

Highest Common Factor of 937,4370,4818 is 1

Step 1: Since 4370 > 937, we apply the division lemma to 4370 and 937, to get

4370 = 937 x 4 + 622

Step 2: Since the reminder 937 ≠ 0, we apply division lemma to 622 and 937, to get

937 = 622 x 1 + 315

Step 3: We consider the new divisor 622 and the new remainder 315, and apply the division lemma to get

622 = 315 x 1 + 307

We consider the new divisor 315 and the new remainder 307,and apply the division lemma to get

315 = 307 x 1 + 8

We consider the new divisor 307 and the new remainder 8,and apply the division lemma to get

307 = 8 x 38 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 937 and 4370 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(307,8) = HCF(315,307) = HCF(622,315) = HCF(937,622) = HCF(4370,937) .

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

Step 1: Since 4818 > 1, we apply the division lemma to 4818 and 1, to get

4818 = 1 x 4818 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4818 is 1

Notice that 1 = HCF(4818,1) .

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, 4370, 4818 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, 4370, 4818?

Answer: HCF of 937, 4370, 4818 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 937, 4370, 4818 using Euclid's Algorithm?

Answer: For arbitrary numbers 937, 4370, 4818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.