Highest Common Factor of 800, 60449 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 800, 60449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 60449 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 800, 60449 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 800, 60449 is 1.
HCF(800, 60449) = 1
HCF of 800, 60449 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 60449 is 1.
Highest Common Factor of 800,60449 is 1
Step 1: Since 60449 > 800, we apply the division lemma to 60449 and 800, to get
60449 = 800 x 75 + 449
Step 2: Since the reminder 800 ≠ 0, we apply division lemma to 449 and 800, to get
800 = 449 x 1 + 351
Step 3: We consider the new divisor 449 and the new remainder 351, and apply the division lemma to get
449 = 351 x 1 + 98
We consider the new divisor 351 and the new remainder 98,and apply the division lemma to get
351 = 98 x 3 + 57
We consider the new divisor 98 and the new remainder 57,and apply the division lemma to get
98 = 57 x 1 + 41
We consider the new divisor 57 and the new remainder 41,and apply the division lemma to get
57 = 41 x 1 + 16
We consider the new divisor 41 and the new remainder 16,and apply the division lemma to get
41 = 16 x 2 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 800 and 60449 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(41,16) = HCF(57,41) = HCF(98,57) = HCF(351,98) = HCF(449,351) = HCF(800,449) = HCF(60449,800) .
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Frequently Asked Questions on HCF of 800, 60449 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 800, 60449?
Answer: HCF of 800, 60449 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 60449 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 60449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.