Highest Common Factor of 497, 2704, 4243 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 497, 2704, 4243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 497, 2704, 4243 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 497, 2704, 4243 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 497, 2704, 4243 is 1.
HCF(497, 2704, 4243) = 1
HCF of 497, 2704, 4243 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 497, 2704, 4243 is 1.
Highest Common Factor of 497,2704,4243 is 1
Step 1: Since 2704 > 497, we apply the division lemma to 2704 and 497, to get
2704 = 497 x 5 + 219
Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 219 and 497, to get
497 = 219 x 2 + 59
Step 3: We consider the new divisor 219 and the new remainder 59, and apply the division lemma to get
219 = 59 x 3 + 42
We consider the new divisor 59 and the new remainder 42,and apply the division lemma to get
59 = 42 x 1 + 17
We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get
42 = 17 x 2 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 497 and 2704 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(59,42) = HCF(219,59) = HCF(497,219) = HCF(2704,497) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4243 > 1, we apply the division lemma to 4243 and 1, to get
4243 = 1 x 4243 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4243 is 1
Notice that 1 = HCF(4243,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 497, 2704, 4243 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 497, 2704, 4243?
Answer: HCF of 497, 2704, 4243 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 497, 2704, 4243 using Euclid's Algorithm?
Answer: For arbitrary numbers 497, 2704, 4243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.