# Highest Common Factor of 733, 607, 940 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 733, 607, 940 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 733, 607, 940 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 733, 607, 940 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 733, 607, 940 is 1.

HCF(733, 607, 940) = 1

## HCF of 733, 607, 940 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 733, 607, 940 is 1. ### Highest Common Factor of 733,607,940 is 1

Step 1: Since 733 > 607, we apply the division lemma to 733 and 607, to get

733 = 607 x 1 + 126

Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 126 and 607, to get

607 = 126 x 4 + 103

Step 3: We consider the new divisor 126 and the new remainder 103, and apply the division lemma to get

126 = 103 x 1 + 23

We consider the new divisor 103 and the new remainder 23,and apply the division lemma to get

103 = 23 x 4 + 11

We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get

23 = 11 x 2 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 733 and 607 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(103,23) = HCF(126,103) = HCF(607,126) = HCF(733,607) .

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

Step 1: Since 940 > 1, we apply the division lemma to 940 and 1, to get

940 = 1 x 940 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 940 is 1

Notice that 1 = HCF(940,1) .

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### Frequently Asked Questions on HCF of 733, 607, 940 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 733, 607, 940?

Answer: HCF of 733, 607, 940 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 733, 607, 940 using Euclid's Algorithm?

Answer: For arbitrary numbers 733, 607, 940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.