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 1564, 8489 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1564, 8489 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 1564, 8489 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 1564, 8489 is 1.
HCF(1564, 8489) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1564, 8489 is 1.
Step 1: Since 8489 > 1564, we apply the division lemma to 8489 and 1564, to get
8489 = 1564 x 5 + 669
Step 2: Since the reminder 1564 ≠ 0, we apply division lemma to 669 and 1564, to get
1564 = 669 x 2 + 226
Step 3: We consider the new divisor 669 and the new remainder 226, and apply the division lemma to get
669 = 226 x 2 + 217
We consider the new divisor 226 and the new remainder 217,and apply the division lemma to get
226 = 217 x 1 + 9
We consider the new divisor 217 and the new remainder 9,and apply the division lemma to get
217 = 9 x 24 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1564 and 8489 is 1
Notice that 1 = HCF(9,1) = HCF(217,9) = HCF(226,217) = HCF(669,226) = HCF(1564,669) = HCF(8489,1564) .
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 1564, 8489?
Answer: HCF of 1564, 8489 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1564, 8489 using Euclid's Algorithm?
Answer: For arbitrary numbers 1564, 8489 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.