Highest Common Factor of 441, 700, 499 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 441, 700, 499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 441, 700, 499 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 441, 700, 499 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 441, 700, 499 is 1.
HCF(441, 700, 499) = 1
HCF of 441, 700, 499 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 441, 700, 499 is 1.
Highest Common Factor of 441,700,499 is 1
Step 1: Since 700 > 441, we apply the division lemma to 700 and 441, to get
700 = 441 x 1 + 259
Step 2: Since the reminder 441 ≠ 0, we apply division lemma to 259 and 441, to get
441 = 259 x 1 + 182
Step 3: We consider the new divisor 259 and the new remainder 182, and apply the division lemma to get
259 = 182 x 1 + 77
We consider the new divisor 182 and the new remainder 77,and apply the division lemma to get
182 = 77 x 2 + 28
We consider the new divisor 77 and the new remainder 28,and apply the division lemma to get
77 = 28 x 2 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 441 and 700 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(77,28) = HCF(182,77) = HCF(259,182) = HCF(441,259) = HCF(700,441) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 499 > 7, we apply the division lemma to 499 and 7, to get
499 = 7 x 71 + 2
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 2 and 7, to get
7 = 2 x 3 + 1
Step 3: 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 7 and 499 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(499,7) .
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Frequently Asked Questions on HCF of 441, 700, 499 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 441, 700, 499?
Answer: HCF of 441, 700, 499 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 441, 700, 499 using Euclid's Algorithm?
Answer: For arbitrary numbers 441, 700, 499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.