Highest Common Factor of 496, 842 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 496, 842 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 496, 842 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 496, 842 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 496, 842 is 2.
HCF(496, 842) = 2
HCF of 496, 842 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 496, 842 is 2.
Highest Common Factor of 496,842 is 2
Step 1: Since 842 > 496, we apply the division lemma to 842 and 496, to get
842 = 496 x 1 + 346
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 346 and 496, to get
496 = 346 x 1 + 150
Step 3: We consider the new divisor 346 and the new remainder 150, and apply the division lemma to get
346 = 150 x 2 + 46
We consider the new divisor 150 and the new remainder 46,and apply the division lemma to get
150 = 46 x 3 + 12
We consider the new divisor 46 and the new remainder 12,and apply the division lemma to get
46 = 12 x 3 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 496 and 842 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(46,12) = HCF(150,46) = HCF(346,150) = HCF(496,346) = HCF(842,496) .
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Frequently Asked Questions on HCF of 496, 842 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 496, 842?
Answer: HCF of 496, 842 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 496, 842 using Euclid's Algorithm?
Answer: For arbitrary numbers 496, 842 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.