Highest Common Factor of 8851, 9550 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 8851, 9550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8851, 9550 is 1 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 8851, 9550 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 8851, 9550 is 1.
HCF(8851, 9550) = 1
HCF of 8851, 9550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8851, 9550 is 1.
Highest Common Factor of 8851,9550 is 1
Step 1: Since 9550 > 8851, we apply the division lemma to 9550 and 8851, to get
9550 = 8851 x 1 + 699
Step 2: Since the reminder 8851 ≠ 0, we apply division lemma to 699 and 8851, to get
8851 = 699 x 12 + 463
Step 3: We consider the new divisor 699 and the new remainder 463, and apply the division lemma to get
699 = 463 x 1 + 236
We consider the new divisor 463 and the new remainder 236,and apply the division lemma to get
463 = 236 x 1 + 227
We consider the new divisor 236 and the new remainder 227,and apply the division lemma to get
236 = 227 x 1 + 9
We consider the new divisor 227 and the new remainder 9,and apply the division lemma to get
227 = 9 x 25 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8851 and 9550 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(227,9) = HCF(236,227) = HCF(463,236) = HCF(699,463) = HCF(8851,699) = HCF(9550,8851) .
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Frequently Asked Questions on HCF of 8851, 9550 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 8851, 9550?
Answer: HCF of 8851, 9550 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8851, 9550 using Euclid's Algorithm?
Answer: For arbitrary numbers 8851, 9550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.