Highest Common Factor of 866, 4188 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 866, 4188 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 866, 4188 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 866, 4188 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 866, 4188 is 2.
HCF(866, 4188) = 2
HCF of 866, 4188 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 866, 4188 is 2.
Highest Common Factor of 866,4188 is 2
Step 1: Since 4188 > 866, we apply the division lemma to 4188 and 866, to get
4188 = 866 x 4 + 724
Step 2: Since the reminder 866 ≠ 0, we apply division lemma to 724 and 866, to get
866 = 724 x 1 + 142
Step 3: We consider the new divisor 724 and the new remainder 142, and apply the division lemma to get
724 = 142 x 5 + 14
We consider the new divisor 142 and the new remainder 14,and apply the division lemma to get
142 = 14 x 10 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 866 and 4188 is 2
Notice that 2 = HCF(14,2) = HCF(142,14) = HCF(724,142) = HCF(866,724) = HCF(4188,866) .
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Frequently Asked Questions on HCF of 866, 4188 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 866, 4188?
Answer: HCF of 866, 4188 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 866, 4188 using Euclid's Algorithm?
Answer: For arbitrary numbers 866, 4188 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.