Highest Common Factor of 135, 751, 600, 745 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 135, 751, 600, 745 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 135, 751, 600, 745 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 135, 751, 600, 745 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 135, 751, 600, 745 is 1.

HCF(135, 751, 600, 745) = 1

HCF of 135, 751, 600, 745 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 135, 751, 600, 745 is 1.

Highest Common Factor of 135,751,600,745 using Euclid's algorithm

Highest Common Factor of 135,751,600,745 is 1

Step 1: Since 751 > 135, we apply the division lemma to 751 and 135, to get

751 = 135 x 5 + 76

Step 2: Since the reminder 135 ≠ 0, we apply division lemma to 76 and 135, to get

135 = 76 x 1 + 59

Step 3: We consider the new divisor 76 and the new remainder 59, and apply the division lemma to get

76 = 59 x 1 + 17

We consider the new divisor 59 and the new remainder 17,and apply the division lemma to get

59 = 17 x 3 + 8

We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get

17 = 8 x 2 + 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 135 and 751 is 1

Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(59,17) = HCF(76,59) = HCF(135,76) = HCF(751,135) .


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

Step 1: Since 600 > 1, we apply the division lemma to 600 and 1, to get

600 = 1 x 600 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 600 is 1

Notice that 1 = HCF(600,1) .


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

Step 1: Since 745 > 1, we apply the division lemma to 745 and 1, to get

745 = 1 x 745 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 745 is 1

Notice that 1 = HCF(745,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 135, 751, 600, 745 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 135, 751, 600, 745?

Answer: HCF of 135, 751, 600, 745 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 135, 751, 600, 745 using Euclid's Algorithm?

Answer: For arbitrary numbers 135, 751, 600, 745 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.