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 4523, 8966 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4523, 8966 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 4523, 8966 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 4523, 8966 is 1.
HCF(4523, 8966) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4523, 8966 is 1.
Step 1: Since 8966 > 4523, we apply the division lemma to 8966 and 4523, to get
8966 = 4523 x 1 + 4443
Step 2: Since the reminder 4523 ≠ 0, we apply division lemma to 4443 and 4523, to get
4523 = 4443 x 1 + 80
Step 3: We consider the new divisor 4443 and the new remainder 80, and apply the division lemma to get
4443 = 80 x 55 + 43
We consider the new divisor 80 and the new remainder 43,and apply the division lemma to get
80 = 43 x 1 + 37
We consider the new divisor 43 and the new remainder 37,and apply the division lemma to get
43 = 37 x 1 + 6
We consider the new divisor 37 and the new remainder 6,and apply the division lemma to get
37 = 6 x 6 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4523 and 8966 is 1
Notice that 1 = HCF(6,1) = HCF(37,6) = HCF(43,37) = HCF(80,43) = HCF(4443,80) = HCF(4523,4443) = HCF(8966,4523) .
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 4523, 8966?
Answer: HCF of 4523, 8966 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4523, 8966 using Euclid's Algorithm?
Answer: For arbitrary numbers 4523, 8966 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.