Highest Common Factor of 419, 7965, 8231 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 419, 7965, 8231 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 419, 7965, 8231 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 419, 7965, 8231 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 419, 7965, 8231 is 1.
HCF(419, 7965, 8231) = 1
HCF of 419, 7965, 8231 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 419, 7965, 8231 is 1.
Highest Common Factor of 419,7965,8231 is 1
Step 1: Since 7965 > 419, we apply the division lemma to 7965 and 419, to get
7965 = 419 x 19 + 4
Step 2: Since the reminder 419 ≠ 0, we apply division lemma to 4 and 419, to get
419 = 4 x 104 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 419 and 7965 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(419,4) = HCF(7965,419) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8231 > 1, we apply the division lemma to 8231 and 1, to get
8231 = 1 x 8231 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8231 is 1
Notice that 1 = HCF(8231,1) .
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Frequently Asked Questions on HCF of 419, 7965, 8231 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 419, 7965, 8231?
Answer: HCF of 419, 7965, 8231 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 419, 7965, 8231 using Euclid's Algorithm?
Answer: For arbitrary numbers 419, 7965, 8231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
