Highest Common Factor of 965, 8866, 5306 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 965, 8866, 5306 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 965, 8866, 5306 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 965, 8866, 5306 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 965, 8866, 5306 is 1.
HCF(965, 8866, 5306) = 1
HCF of 965, 8866, 5306 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 965, 8866, 5306 is 1.
Highest Common Factor of 965,8866,5306 is 1
Step 1: Since 8866 > 965, we apply the division lemma to 8866 and 965, to get
8866 = 965 x 9 + 181
Step 2: Since the reminder 965 ≠ 0, we apply division lemma to 181 and 965, to get
965 = 181 x 5 + 60
Step 3: We consider the new divisor 181 and the new remainder 60, and apply the division lemma to get
181 = 60 x 3 + 1
We consider the new divisor 60 and the new remainder 1, and apply the division lemma to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 965 and 8866 is 1
Notice that 1 = HCF(60,1) = HCF(181,60) = HCF(965,181) = HCF(8866,965) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5306 > 1, we apply the division lemma to 5306 and 1, to get
5306 = 1 x 5306 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5306 is 1
Notice that 1 = HCF(5306,1) .
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Frequently Asked Questions on HCF of 965, 8866, 5306 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 965, 8866, 5306?
Answer: HCF of 965, 8866, 5306 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 965, 8866, 5306 using Euclid's Algorithm?
Answer: For arbitrary numbers 965, 8866, 5306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.