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 565, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 565, 983 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 565, 983 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 565, 983 is 1.
HCF(565, 983) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 565, 983 is 1.
Step 1: Since 983 > 565, we apply the division lemma to 983 and 565, to get
983 = 565 x 1 + 418
Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 418 and 565, to get
565 = 418 x 1 + 147
Step 3: We consider the new divisor 418 and the new remainder 147, and apply the division lemma to get
418 = 147 x 2 + 124
We consider the new divisor 147 and the new remainder 124,and apply the division lemma to get
147 = 124 x 1 + 23
We consider the new divisor 124 and the new remainder 23,and apply the division lemma to get
124 = 23 x 5 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 565 and 983 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(124,23) = HCF(147,124) = HCF(418,147) = HCF(565,418) = HCF(983,565) .
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 565, 983?
Answer: HCF of 565, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 565, 983 using Euclid's Algorithm?
Answer: For arbitrary numbers 565, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.