Highest Common Factor of 3423, 1299 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 3423, 1299 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3423, 1299 is 3 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 3423, 1299 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 3423, 1299 is 3.
HCF(3423, 1299) = 3
HCF of 3423, 1299 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3423, 1299 is 3.
Highest Common Factor of 3423,1299 is 3
Step 1: Since 3423 > 1299, we apply the division lemma to 3423 and 1299, to get
3423 = 1299 x 2 + 825
Step 2: Since the reminder 1299 ≠ 0, we apply division lemma to 825 and 1299, to get
1299 = 825 x 1 + 474
Step 3: We consider the new divisor 825 and the new remainder 474, and apply the division lemma to get
825 = 474 x 1 + 351
We consider the new divisor 474 and the new remainder 351,and apply the division lemma to get
474 = 351 x 1 + 123
We consider the new divisor 351 and the new remainder 123,and apply the division lemma to get
351 = 123 x 2 + 105
We consider the new divisor 123 and the new remainder 105,and apply the division lemma to get
123 = 105 x 1 + 18
We consider the new divisor 105 and the new remainder 18,and apply the division lemma to get
105 = 18 x 5 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3423 and 1299 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(105,18) = HCF(123,105) = HCF(351,123) = HCF(474,351) = HCF(825,474) = HCF(1299,825) = HCF(3423,1299) .
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Frequently Asked Questions on HCF of 3423, 1299 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 3423, 1299?
Answer: HCF of 3423, 1299 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3423, 1299 using Euclid's Algorithm?
Answer: For arbitrary numbers 3423, 1299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.