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 357, 839, 595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 357, 839, 595 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 357, 839, 595 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 357, 839, 595 is 1.
HCF(357, 839, 595) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 357, 839, 595 is 1.
Step 1: Since 839 > 357, we apply the division lemma to 839 and 357, to get
839 = 357 x 2 + 125
Step 2: Since the reminder 357 ≠ 0, we apply division lemma to 125 and 357, to get
357 = 125 x 2 + 107
Step 3: We consider the new divisor 125 and the new remainder 107, and apply the division lemma to get
125 = 107 x 1 + 18
We consider the new divisor 107 and the new remainder 18,and apply the division lemma to get
107 = 18 x 5 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 357 and 839 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(107,18) = HCF(125,107) = HCF(357,125) = HCF(839,357) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 595 > 1, we apply the division lemma to 595 and 1, to get
595 = 1 x 595 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 595 is 1
Notice that 1 = HCF(595,1) .
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 357, 839, 595?
Answer: HCF of 357, 839, 595 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 357, 839, 595 using Euclid's Algorithm?
Answer: For arbitrary numbers 357, 839, 595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.