Highest Common Factor of 2372, 6232 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 2372, 6232 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2372, 6232 is 4 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 2372, 6232 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 2372, 6232 is 4.
HCF(2372, 6232) = 4
HCF of 2372, 6232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2372, 6232 is 4.
Highest Common Factor of 2372,6232 is 4
Step 1: Since 6232 > 2372, we apply the division lemma to 6232 and 2372, to get
6232 = 2372 x 2 + 1488
Step 2: Since the reminder 2372 ≠ 0, we apply division lemma to 1488 and 2372, to get
2372 = 1488 x 1 + 884
Step 3: We consider the new divisor 1488 and the new remainder 884, and apply the division lemma to get
1488 = 884 x 1 + 604
We consider the new divisor 884 and the new remainder 604,and apply the division lemma to get
884 = 604 x 1 + 280
We consider the new divisor 604 and the new remainder 280,and apply the division lemma to get
604 = 280 x 2 + 44
We consider the new divisor 280 and the new remainder 44,and apply the division lemma to get
280 = 44 x 6 + 16
We consider the new divisor 44 and the new remainder 16,and apply the division lemma to get
44 = 16 x 2 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2372 and 6232 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(44,16) = HCF(280,44) = HCF(604,280) = HCF(884,604) = HCF(1488,884) = HCF(2372,1488) = HCF(6232,2372) .
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Frequently Asked Questions on HCF of 2372, 6232 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 2372, 6232?
Answer: HCF of 2372, 6232 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2372, 6232 using Euclid's Algorithm?
Answer: For arbitrary numbers 2372, 6232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.