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 4533, 9614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4533, 9614 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 4533, 9614 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 4533, 9614 is 1.
HCF(4533, 9614) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4533, 9614 is 1.
Step 1: Since 9614 > 4533, we apply the division lemma to 9614 and 4533, to get
9614 = 4533 x 2 + 548
Step 2: Since the reminder 4533 ≠ 0, we apply division lemma to 548 and 4533, to get
4533 = 548 x 8 + 149
Step 3: We consider the new divisor 548 and the new remainder 149, and apply the division lemma to get
548 = 149 x 3 + 101
We consider the new divisor 149 and the new remainder 101,and apply the division lemma to get
149 = 101 x 1 + 48
We consider the new divisor 101 and the new remainder 48,and apply the division lemma to get
101 = 48 x 2 + 5
We consider the new divisor 48 and the new remainder 5,and apply the division lemma to get
48 = 5 x 9 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4533 and 9614 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(48,5) = HCF(101,48) = HCF(149,101) = HCF(548,149) = HCF(4533,548) = HCF(9614,4533) .
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 4533, 9614?
Answer: HCF of 4533, 9614 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4533, 9614 using Euclid's Algorithm?
Answer: For arbitrary numbers 4533, 9614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.