Highest Common Factor of 8966, 8546 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 8966, 8546 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8966, 8546 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 8966, 8546 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 8966, 8546 is 2.
HCF(8966, 8546) = 2
HCF of 8966, 8546 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8966, 8546 is 2.
Highest Common Factor of 8966,8546 is 2
Step 1: Since 8966 > 8546, we apply the division lemma to 8966 and 8546, to get
8966 = 8546 x 1 + 420
Step 2: Since the reminder 8546 ≠ 0, we apply division lemma to 420 and 8546, to get
8546 = 420 x 20 + 146
Step 3: We consider the new divisor 420 and the new remainder 146, and apply the division lemma to get
420 = 146 x 2 + 128
We consider the new divisor 146 and the new remainder 128,and apply the division lemma to get
146 = 128 x 1 + 18
We consider the new divisor 128 and the new remainder 18,and apply the division lemma to get
128 = 18 x 7 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8966 and 8546 is 2
Notice that 2 = HCF(18,2) = HCF(128,18) = HCF(146,128) = HCF(420,146) = HCF(8546,420) = HCF(8966,8546) .
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Frequently Asked Questions on HCF of 8966, 8546 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 8966, 8546?
Answer: HCF of 8966, 8546 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8966, 8546 using Euclid's Algorithm?
Answer: For arbitrary numbers 8966, 8546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.