Highest Common Factor of 499, 796 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 499, 796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 499, 796 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 499, 796 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 499, 796 is 1.
HCF(499, 796) = 1
HCF of 499, 796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 499, 796 is 1.
Highest Common Factor of 499,796 is 1
Step 1: Since 796 > 499, we apply the division lemma to 796 and 499, to get
796 = 499 x 1 + 297
Step 2: Since the reminder 499 ≠ 0, we apply division lemma to 297 and 499, to get
499 = 297 x 1 + 202
Step 3: We consider the new divisor 297 and the new remainder 202, and apply the division lemma to get
297 = 202 x 1 + 95
We consider the new divisor 202 and the new remainder 95,and apply the division lemma to get
202 = 95 x 2 + 12
We consider the new divisor 95 and the new remainder 12,and apply the division lemma to get
95 = 12 x 7 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 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 499 and 796 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(95,12) = HCF(202,95) = HCF(297,202) = HCF(499,297) = HCF(796,499) .
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Frequently Asked Questions on HCF of 499, 796 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 499, 796?
Answer: HCF of 499, 796 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 499, 796 using Euclid's Algorithm?
Answer: For arbitrary numbers 499, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.