Highest Common Factor of 945, 702, 73, 344 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 945, 702, 73, 344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 945, 702, 73, 344 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 945, 702, 73, 344 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 945, 702, 73, 344 is 1.

HCF(945, 702, 73, 344) = 1

HCF of 945, 702, 73, 344 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 945, 702, 73, 344 is 1.

Highest Common Factor of 945,702,73,344 using Euclid's algorithm

Highest Common Factor of 945,702,73,344 is 1

Step 1: Since 945 > 702, we apply the division lemma to 945 and 702, to get

945 = 702 x 1 + 243

Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 243 and 702, to get

702 = 243 x 2 + 216

Step 3: We consider the new divisor 243 and the new remainder 216, and apply the division lemma to get

243 = 216 x 1 + 27

We consider the new divisor 216 and the new remainder 27, and apply the division lemma to get

216 = 27 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 945 and 702 is 27

Notice that 27 = HCF(216,27) = HCF(243,216) = HCF(702,243) = HCF(945,702) .


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

Step 1: Since 73 > 27, we apply the division lemma to 73 and 27, to get

73 = 27 x 2 + 19

Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 19 and 27, to get

27 = 19 x 1 + 8

Step 3: We consider the new divisor 19 and the new remainder 8, and apply the division lemma to get

19 = 8 x 2 + 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 27 and 73 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(73,27) .


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

Step 1: Since 344 > 1, we apply the division lemma to 344 and 1, to get

344 = 1 x 344 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 344 is 1

Notice that 1 = HCF(344,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 945, 702, 73, 344 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 945, 702, 73, 344?

Answer: HCF of 945, 702, 73, 344 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 945, 702, 73, 344 using Euclid's Algorithm?

Answer: For arbitrary numbers 945, 702, 73, 344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.