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 899, 389, 608, 353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 389, 608, 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 899, 389, 608, 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 899, 389, 608, 353 is 1.
HCF(899, 389, 608, 353) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 389, 608, 353 is 1.
Step 1: Since 899 > 389, we apply the division lemma to 899 and 389, to get
899 = 389 x 2 + 121
Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 121 and 389, to get
389 = 121 x 3 + 26
Step 3: We consider the new divisor 121 and the new remainder 26, and apply the division lemma to get
121 = 26 x 4 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 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 899 and 389 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(121,26) = HCF(389,121) = HCF(899,389) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 608 > 1, we apply the division lemma to 608 and 1, to get
608 = 1 x 608 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 608 is 1
Notice that 1 = HCF(608,1) .
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) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 899, 389, 608, 353?
Answer: HCF of 899, 389, 608, 353 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 389, 608, 353 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 389, 608, 353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.