Highest Common Factor of 5210, 6226, 88666 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 5210, 6226, 88666 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5210, 6226, 88666 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 5210, 6226, 88666 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 5210, 6226, 88666 is 2.
HCF(5210, 6226, 88666) = 2
HCF of 5210, 6226, 88666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5210, 6226, 88666 is 2.
Highest Common Factor of 5210,6226,88666 is 2
Step 1: Since 6226 > 5210, we apply the division lemma to 6226 and 5210, to get
6226 = 5210 x 1 + 1016
Step 2: Since the reminder 5210 ≠ 0, we apply division lemma to 1016 and 5210, to get
5210 = 1016 x 5 + 130
Step 3: We consider the new divisor 1016 and the new remainder 130, and apply the division lemma to get
1016 = 130 x 7 + 106
We consider the new divisor 130 and the new remainder 106,and apply the division lemma to get
130 = 106 x 1 + 24
We consider the new divisor 106 and the new remainder 24,and apply the division lemma to get
106 = 24 x 4 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 5210 and 6226 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(106,24) = HCF(130,106) = HCF(1016,130) = HCF(5210,1016) = HCF(6226,5210) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88666 > 2, we apply the division lemma to 88666 and 2, to get
88666 = 2 x 44333 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 88666 is 2
Notice that 2 = HCF(88666,2) .
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Frequently Asked Questions on HCF of 5210, 6226, 88666 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 5210, 6226, 88666?
Answer: HCF of 5210, 6226, 88666 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5210, 6226, 88666 using Euclid's Algorithm?
Answer: For arbitrary numbers 5210, 6226, 88666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.