Highest Common Factor of 6663, 8850 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 6663, 8850 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6663, 8850 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 6663, 8850 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 6663, 8850 is 3.
HCF(6663, 8850) = 3
HCF of 6663, 8850 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6663, 8850 is 3.
Highest Common Factor of 6663,8850 is 3
Step 1: Since 8850 > 6663, we apply the division lemma to 8850 and 6663, to get
8850 = 6663 x 1 + 2187
Step 2: Since the reminder 6663 ≠ 0, we apply division lemma to 2187 and 6663, to get
6663 = 2187 x 3 + 102
Step 3: We consider the new divisor 2187 and the new remainder 102, and apply the division lemma to get
2187 = 102 x 21 + 45
We consider the new divisor 102 and the new remainder 45,and apply the division lemma to get
102 = 45 x 2 + 12
We consider the new divisor 45 and the new remainder 12,and apply the division lemma to get
45 = 12 x 3 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6663 and 8850 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(45,12) = HCF(102,45) = HCF(2187,102) = HCF(6663,2187) = HCF(8850,6663) .
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Frequently Asked Questions on HCF of 6663, 8850 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 6663, 8850?
Answer: HCF of 6663, 8850 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6663, 8850 using Euclid's Algorithm?
Answer: For arbitrary numbers 6663, 8850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.