Highest Common Factor of 6373, 9239 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 6373, 9239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6373, 9239 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 6373, 9239 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 6373, 9239 is 1.
HCF(6373, 9239) = 1
HCF of 6373, 9239 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6373, 9239 is 1.
Highest Common Factor of 6373,9239 is 1
Step 1: Since 9239 > 6373, we apply the division lemma to 9239 and 6373, to get
9239 = 6373 x 1 + 2866
Step 2: Since the reminder 6373 ≠ 0, we apply division lemma to 2866 and 6373, to get
6373 = 2866 x 2 + 641
Step 3: We consider the new divisor 2866 and the new remainder 641, and apply the division lemma to get
2866 = 641 x 4 + 302
We consider the new divisor 641 and the new remainder 302,and apply the division lemma to get
641 = 302 x 2 + 37
We consider the new divisor 302 and the new remainder 37,and apply the division lemma to get
302 = 37 x 8 + 6
We consider the new divisor 37 and the new remainder 6,and apply the division lemma to get
37 = 6 x 6 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6373 and 9239 is 1
Notice that 1 = HCF(6,1) = HCF(37,6) = HCF(302,37) = HCF(641,302) = HCF(2866,641) = HCF(6373,2866) = HCF(9239,6373) .
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Frequently Asked Questions on HCF of 6373, 9239 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 6373, 9239?
Answer: HCF of 6373, 9239 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6373, 9239 using Euclid's Algorithm?
Answer: For arbitrary numbers 6373, 9239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.