Highest Common Factor of 8850, 9306 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 8850, 9306 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 8850, 9306 is 6 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 8850, 9306 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 8850, 9306 is 6.
HCF(8850, 9306) = 6
HCF of 8850, 9306 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8850, 9306 is 6.
Highest Common Factor of 8850,9306 is 6
Step 1: Since 9306 > 8850, we apply the division lemma to 9306 and 8850, to get
9306 = 8850 x 1 + 456
Step 2: Since the reminder 8850 ≠ 0, we apply division lemma to 456 and 8850, to get
8850 = 456 x 19 + 186
Step 3: We consider the new divisor 456 and the new remainder 186, and apply the division lemma to get
456 = 186 x 2 + 84
We consider the new divisor 186 and the new remainder 84,and apply the division lemma to get
186 = 84 x 2 + 18
We consider the new divisor 84 and the new remainder 18,and apply the division lemma to get
84 = 18 x 4 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 8850 and 9306 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(84,18) = HCF(186,84) = HCF(456,186) = HCF(8850,456) = HCF(9306,8850) .
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Frequently Asked Questions on HCF of 8850, 9306 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 8850, 9306?
Answer: HCF of 8850, 9306 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8850, 9306 using Euclid's Algorithm?
Answer: For arbitrary numbers 8850, 9306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
