Highest Common Factor of 5630, 3462, 14132 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 5630, 3462, 14132 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5630, 3462, 14132 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 5630, 3462, 14132 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 5630, 3462, 14132 is 2.
HCF(5630, 3462, 14132) = 2
HCF of 5630, 3462, 14132 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5630, 3462, 14132 is 2.
Highest Common Factor of 5630,3462,14132 is 2
Step 1: Since 5630 > 3462, we apply the division lemma to 5630 and 3462, to get
5630 = 3462 x 1 + 2168
Step 2: Since the reminder 3462 ≠ 0, we apply division lemma to 2168 and 3462, to get
3462 = 2168 x 1 + 1294
Step 3: We consider the new divisor 2168 and the new remainder 1294, and apply the division lemma to get
2168 = 1294 x 1 + 874
We consider the new divisor 1294 and the new remainder 874,and apply the division lemma to get
1294 = 874 x 1 + 420
We consider the new divisor 874 and the new remainder 420,and apply the division lemma to get
874 = 420 x 2 + 34
We consider the new divisor 420 and the new remainder 34,and apply the division lemma to get
420 = 34 x 12 + 12
We consider the new divisor 34 and the new remainder 12,and apply the division lemma to get
34 = 12 x 2 + 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 5630 and 3462 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(34,12) = HCF(420,34) = HCF(874,420) = HCF(1294,874) = HCF(2168,1294) = HCF(3462,2168) = HCF(5630,3462) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14132 > 2, we apply the division lemma to 14132 and 2, to get
14132 = 2 x 7066 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 14132 is 2
Notice that 2 = HCF(14132,2) .
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Frequently Asked Questions on HCF of 5630, 3462, 14132 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 5630, 3462, 14132?
Answer: HCF of 5630, 3462, 14132 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5630, 3462, 14132 using Euclid's Algorithm?
Answer: For arbitrary numbers 5630, 3462, 14132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.