Highest Common Factor of 666, 496 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 666, 496 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 666, 496 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 666, 496 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 666, 496 is 2.
HCF(666, 496) = 2
HCF of 666, 496 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 666, 496 is 2.
Highest Common Factor of 666,496 is 2
Step 1: Since 666 > 496, we apply the division lemma to 666 and 496, to get
666 = 496 x 1 + 170
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 170 and 496, to get
496 = 170 x 2 + 156
Step 3: We consider the new divisor 170 and the new remainder 156, and apply the division lemma to get
170 = 156 x 1 + 14
We consider the new divisor 156 and the new remainder 14,and apply the division lemma to get
156 = 14 x 11 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 666 and 496 is 2
Notice that 2 = HCF(14,2) = HCF(156,14) = HCF(170,156) = HCF(496,170) = HCF(666,496) .
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Frequently Asked Questions on HCF of 666, 496 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 666, 496?
Answer: HCF of 666, 496 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 666, 496 using Euclid's Algorithm?
Answer: For arbitrary numbers 666, 496 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
