Highest Common Factor of 142, 373, 750 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 142, 373, 750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 142, 373, 750 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 142, 373, 750 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 142, 373, 750 is 1.

HCF(142, 373, 750) = 1

HCF of 142, 373, 750 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 142, 373, 750 is 1.

Highest Common Factor of 142,373,750 using Euclid's algorithm

Highest Common Factor of 142,373,750 is 1

Step 1: Since 373 > 142, we apply the division lemma to 373 and 142, to get

373 = 142 x 2 + 89

Step 2: Since the reminder 142 ≠ 0, we apply division lemma to 89 and 142, to get

142 = 89 x 1 + 53

Step 3: We consider the new divisor 89 and the new remainder 53, and apply the division lemma to get

89 = 53 x 1 + 36

We consider the new divisor 53 and the new remainder 36,and apply the division lemma to get

53 = 36 x 1 + 17

We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get

36 = 17 x 2 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 142 and 373 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(53,36) = HCF(89,53) = HCF(142,89) = HCF(373,142) .

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

Step 1: Since 750 > 1, we apply the division lemma to 750 and 1, to get

750 = 1 x 750 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 750 is 1

Notice that 1 = HCF(750,1) .

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Frequently Asked Questions on HCF of 142, 373, 750 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 142, 373, 750?

Answer: HCF of 142, 373, 750 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 142, 373, 750 using Euclid's Algorithm?

Answer: For arbitrary numbers 142, 373, 750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.