Highest Common Factor of 497, 1745, 8823 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, 1745, 8823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 497, 1745, 8823 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, 1745, 8823 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, 1745, 8823 is 1.
HCF(497, 1745, 8823) = 1
HCF of 497, 1745, 8823 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, 1745, 8823 is 1.
Highest Common Factor of 497,1745,8823 is 1
Step 1: Since 1745 > 497, we apply the division lemma to 1745 and 497, to get
1745 = 497 x 3 + 254
Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 254 and 497, to get
497 = 254 x 1 + 243
Step 3: We consider the new divisor 254 and the new remainder 243, and apply the division lemma to get
254 = 243 x 1 + 11
We consider the new divisor 243 and the new remainder 11,and apply the division lemma to get
243 = 11 x 22 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 497 and 1745 is 1
Notice that 1 = HCF(11,1) = HCF(243,11) = HCF(254,243) = HCF(497,254) = HCF(1745,497) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8823 > 1, we apply the division lemma to 8823 and 1, to get
8823 = 1 x 8823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8823 is 1
Notice that 1 = HCF(8823,1) .
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Frequently Asked Questions on HCF of 497, 1745, 8823 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, 1745, 8823?
Answer: HCF of 497, 1745, 8823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 497, 1745, 8823 using Euclid's Algorithm?
Answer: For arbitrary numbers 497, 1745, 8823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.