Highest Common Factor of 247, 144, 506 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 247, 144, 506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 247, 144, 506 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 247, 144, 506 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 247, 144, 506 is 1.
HCF(247, 144, 506) = 1
HCF of 247, 144, 506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 247, 144, 506 is 1.
Highest Common Factor of 247,144,506 is 1
Step 1: Since 247 > 144, we apply the division lemma to 247 and 144, to get
247 = 144 x 1 + 103
Step 2: Since the reminder 144 ≠ 0, we apply division lemma to 103 and 144, to get
144 = 103 x 1 + 41
Step 3: We consider the new divisor 103 and the new remainder 41, and apply the division lemma to get
103 = 41 x 2 + 21
We consider the new divisor 41 and the new remainder 21,and apply the division lemma to get
41 = 21 x 1 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 247 and 144 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(103,41) = HCF(144,103) = HCF(247,144) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 506 > 1, we apply the division lemma to 506 and 1, to get
506 = 1 x 506 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 506 is 1
Notice that 1 = HCF(506,1) .
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Frequently Asked Questions on HCF of 247, 144, 506 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 247, 144, 506?
Answer: HCF of 247, 144, 506 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 247, 144, 506 using Euclid's Algorithm?
Answer: For arbitrary numbers 247, 144, 506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.