Highest Common Factor of 150, 873, 335, 353 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 150, 873, 335, 353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 150, 873, 335, 353 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 150, 873, 335, 353 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 150, 873, 335, 353 is 1.
HCF(150, 873, 335, 353) = 1
HCF of 150, 873, 335, 353 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 150, 873, 335, 353 is 1.
Highest Common Factor of 150,873,335,353 is 1
Step 1: Since 873 > 150, we apply the division lemma to 873 and 150, to get
873 = 150 x 5 + 123
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 123 and 150, to get
150 = 123 x 1 + 27
Step 3: We consider the new divisor 123 and the new remainder 27, and apply the division lemma to get
123 = 27 x 4 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 150 and 873 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(123,27) = HCF(150,123) = HCF(873,150) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 335 > 3, we apply the division lemma to 335 and 3, to get
335 = 3 x 111 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 335 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(335,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 353 > 1, we apply the division lemma to 353 and 1, to get
353 = 1 x 353 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 353 is 1
Notice that 1 = HCF(353,1) .
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Frequently Asked Questions on HCF of 150, 873, 335, 353 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 150, 873, 335, 353?
Answer: HCF of 150, 873, 335, 353 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 150, 873, 335, 353 using Euclid's Algorithm?
Answer: For arbitrary numbers 150, 873, 335, 353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
