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 583, 347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 583, 347 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 583, 347 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 583, 347 is 1.
HCF(583, 347) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 583, 347 is 1.
Step 1: Since 583 > 347, we apply the division lemma to 583 and 347, to get
583 = 347 x 1 + 236
Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 236 and 347, to get
347 = 236 x 1 + 111
Step 3: We consider the new divisor 236 and the new remainder 111, and apply the division lemma to get
236 = 111 x 2 + 14
We consider the new divisor 111 and the new remainder 14,and apply the division lemma to get
111 = 14 x 7 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 583 and 347 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(111,14) = HCF(236,111) = HCF(347,236) = HCF(583,347) .
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 583, 347?
Answer: HCF of 583, 347 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 583, 347 using Euclid's Algorithm?
Answer: For arbitrary numbers 583, 347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.