Highest Common Factor of 532, 732, 64 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 532, 732, 64 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 532, 732, 64 is 4 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 532, 732, 64 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 532, 732, 64 is 4.
HCF(532, 732, 64) = 4
HCF of 532, 732, 64 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 532, 732, 64 is 4.
Highest Common Factor of 532,732,64 is 4
Step 1: Since 732 > 532, we apply the division lemma to 732 and 532, to get
732 = 532 x 1 + 200
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 200 and 532, to get
532 = 200 x 2 + 132
Step 3: We consider the new divisor 200 and the new remainder 132, and apply the division lemma to get
200 = 132 x 1 + 68
We consider the new divisor 132 and the new remainder 68,and apply the division lemma to get
132 = 68 x 1 + 64
We consider the new divisor 68 and the new remainder 64,and apply the division lemma to get
68 = 64 x 1 + 4
We consider the new divisor 64 and the new remainder 4,and apply the division lemma to get
64 = 4 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 532 and 732 is 4
Notice that 4 = HCF(64,4) = HCF(68,64) = HCF(132,68) = HCF(200,132) = HCF(532,200) = HCF(732,532) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64 > 4, we apply the division lemma to 64 and 4, to get
64 = 4 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 64 is 4
Notice that 4 = HCF(64,4) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 532, 732, 64 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 532, 732, 64?
Answer: HCF of 532, 732, 64 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 532, 732, 64 using Euclid's Algorithm?
Answer: For arbitrary numbers 532, 732, 64 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.