Highest Common Factor of 8239, 4424 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 8239, 4424 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8239, 4424 is 7 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 8239, 4424 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 8239, 4424 is 7.
HCF(8239, 4424) = 7
HCF of 8239, 4424 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8239, 4424 is 7.
Highest Common Factor of 8239,4424 is 7
Step 1: Since 8239 > 4424, we apply the division lemma to 8239 and 4424, to get
8239 = 4424 x 1 + 3815
Step 2: Since the reminder 4424 ≠ 0, we apply division lemma to 3815 and 4424, to get
4424 = 3815 x 1 + 609
Step 3: We consider the new divisor 3815 and the new remainder 609, and apply the division lemma to get
3815 = 609 x 6 + 161
We consider the new divisor 609 and the new remainder 161,and apply the division lemma to get
609 = 161 x 3 + 126
We consider the new divisor 161 and the new remainder 126,and apply the division lemma to get
161 = 126 x 1 + 35
We consider the new divisor 126 and the new remainder 35,and apply the division lemma to get
126 = 35 x 3 + 21
We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get
35 = 21 x 1 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8239 and 4424 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(126,35) = HCF(161,126) = HCF(609,161) = HCF(3815,609) = HCF(4424,3815) = HCF(8239,4424) .
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Frequently Asked Questions on HCF of 8239, 4424 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 8239, 4424?
Answer: HCF of 8239, 4424 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8239, 4424 using Euclid's Algorithm?
Answer: For arbitrary numbers 8239, 4424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.