Highest Common Factor of 882, 497, 469 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 882, 497, 469 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 882, 497, 469 is 7 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 882, 497, 469 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 882, 497, 469 is 7.
HCF(882, 497, 469) = 7
HCF of 882, 497, 469 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 882, 497, 469 is 7.
Highest Common Factor of 882,497,469 is 7
Step 1: Since 882 > 497, we apply the division lemma to 882 and 497, to get
882 = 497 x 1 + 385
Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 385 and 497, to get
497 = 385 x 1 + 112
Step 3: We consider the new divisor 385 and the new remainder 112, and apply the division lemma to get
385 = 112 x 3 + 49
We consider the new divisor 112 and the new remainder 49,and apply the division lemma to get
112 = 49 x 2 + 14
We consider the new divisor 49 and the new remainder 14,and apply the division lemma to get
49 = 14 x 3 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 882 and 497 is 7
Notice that 7 = HCF(14,7) = HCF(49,14) = HCF(112,49) = HCF(385,112) = HCF(497,385) = HCF(882,497) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 469 > 7, we apply the division lemma to 469 and 7, to get
469 = 7 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 469 is 7
Notice that 7 = HCF(469,7) .
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Frequently Asked Questions on HCF of 882, 497, 469 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 882, 497, 469?
Answer: HCF of 882, 497, 469 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 882, 497, 469 using Euclid's Algorithm?
Answer: For arbitrary numbers 882, 497, 469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.