Highest Common Factor of 518, 3942, 5402 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 518, 3942, 5402 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 3942, 5402 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 518, 3942, 5402 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 518, 3942, 5402 is 2.
HCF(518, 3942, 5402) = 2
HCF of 518, 3942, 5402 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 518, 3942, 5402 is 2.
Highest Common Factor of 518,3942,5402 is 2
Step 1: Since 3942 > 518, we apply the division lemma to 3942 and 518, to get
3942 = 518 x 7 + 316
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 316 and 518, to get
518 = 316 x 1 + 202
Step 3: We consider the new divisor 316 and the new remainder 202, and apply the division lemma to get
316 = 202 x 1 + 114
We consider the new divisor 202 and the new remainder 114,and apply the division lemma to get
202 = 114 x 1 + 88
We consider the new divisor 114 and the new remainder 88,and apply the division lemma to get
114 = 88 x 1 + 26
We consider the new divisor 88 and the new remainder 26,and apply the division lemma to get
88 = 26 x 3 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 518 and 3942 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(88,26) = HCF(114,88) = HCF(202,114) = HCF(316,202) = HCF(518,316) = HCF(3942,518) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5402 > 2, we apply the division lemma to 5402 and 2, to get
5402 = 2 x 2701 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 5402 is 2
Notice that 2 = HCF(5402,2) .
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Frequently Asked Questions on HCF of 518, 3942, 5402 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 518, 3942, 5402?
Answer: HCF of 518, 3942, 5402 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 3942, 5402 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 3942, 5402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.