Highest Common Factor of 534, 9612, 4506 using Euclid's algorithm
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 534, 9612, 4506 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 534, 9612, 4506 is 6 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 534, 9612, 4506 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 534, 9612, 4506 is 6.
HCF(534, 9612, 4506) = 6
HCF of 534, 9612, 4506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 534, 9612, 4506 is 6.
Highest Common Factor of 534,9612,4506 is 6
Step 1: Since 9612 > 534, we apply the division lemma to 9612 and 534, to get
9612 = 534 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 534, the HCF of 534 and 9612 is 534
Notice that 534 = HCF(9612,534) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4506 > 534, we apply the division lemma to 4506 and 534, to get
4506 = 534 x 8 + 234
Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 234 and 534, to get
534 = 234 x 2 + 66
Step 3: We consider the new divisor 234 and the new remainder 66, and apply the division lemma to get
234 = 66 x 3 + 36
We consider the new divisor 66 and the new remainder 36,and apply the division lemma to get
66 = 36 x 1 + 30
We consider the new divisor 36 and the new remainder 30,and apply the division lemma to get
36 = 30 x 1 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 534 and 4506 is 6
Notice that 6 = HCF(30,6) = HCF(36,30) = HCF(66,36) = HCF(234,66) = HCF(534,234) = HCF(4506,534) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 534, 9612, 4506 using Euclid's Algorithm
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 534, 9612, 4506?
Answer: HCF of 534, 9612, 4506 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 534, 9612, 4506 using Euclid's Algorithm?
Answer: For arbitrary numbers 534, 9612, 4506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.