Highest Common Factor of 500, 537, 147 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 500, 537, 147 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 500, 537, 147 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 500, 537, 147 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 500, 537, 147 is 1.
HCF(500, 537, 147) = 1
HCF of 500, 537, 147 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 500, 537, 147 is 1.
Highest Common Factor of 500,537,147 is 1
Step 1: Since 537 > 500, we apply the division lemma to 537 and 500, to get
537 = 500 x 1 + 37
Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 37 and 500, to get
500 = 37 x 13 + 19
Step 3: We consider the new divisor 37 and the new remainder 19, and apply the division lemma to get
37 = 19 x 1 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 500 and 537 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(500,37) = HCF(537,500) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 147 > 1, we apply the division lemma to 147 and 1, to get
147 = 1 x 147 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 147 is 1
Notice that 1 = HCF(147,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 500, 537, 147 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 500, 537, 147?
Answer: HCF of 500, 537, 147 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 500, 537, 147 using Euclid's Algorithm?
Answer: For arbitrary numbers 500, 537, 147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.