Highest Common Factor of 472, 818 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 472, 818 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 472, 818 is 2 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 472, 818 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 472, 818 is 2.
HCF(472, 818) = 2
HCF of 472, 818 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 472, 818 is 2.
Highest Common Factor of 472,818 is 2
Step 1: Since 818 > 472, we apply the division lemma to 818 and 472, to get
818 = 472 x 1 + 346
Step 2: Since the reminder 472 ≠ 0, we apply division lemma to 346 and 472, to get
472 = 346 x 1 + 126
Step 3: We consider the new divisor 346 and the new remainder 126, and apply the division lemma to get
346 = 126 x 2 + 94
We consider the new divisor 126 and the new remainder 94,and apply the division lemma to get
126 = 94 x 1 + 32
We consider the new divisor 94 and the new remainder 32,and apply the division lemma to get
94 = 32 x 2 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 472 and 818 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(94,32) = HCF(126,94) = HCF(346,126) = HCF(472,346) = HCF(818,472) .
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Frequently Asked Questions on HCF of 472, 818 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 472, 818?
Answer: HCF of 472, 818 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 472, 818 using Euclid's Algorithm?
Answer: For arbitrary numbers 472, 818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.