Highest Common Factor of 4239, 2472 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 4239, 2472 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4239, 2472 is 3 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 4239, 2472 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 4239, 2472 is 3.
HCF(4239, 2472) = 3
HCF of 4239, 2472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4239, 2472 is 3.
Highest Common Factor of 4239,2472 is 3
Step 1: Since 4239 > 2472, we apply the division lemma to 4239 and 2472, to get
4239 = 2472 x 1 + 1767
Step 2: Since the reminder 2472 ≠ 0, we apply division lemma to 1767 and 2472, to get
2472 = 1767 x 1 + 705
Step 3: We consider the new divisor 1767 and the new remainder 705, and apply the division lemma to get
1767 = 705 x 2 + 357
We consider the new divisor 705 and the new remainder 357,and apply the division lemma to get
705 = 357 x 1 + 348
We consider the new divisor 357 and the new remainder 348,and apply the division lemma to get
357 = 348 x 1 + 9
We consider the new divisor 348 and the new remainder 9,and apply the division lemma to get
348 = 9 x 38 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4239 and 2472 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(348,9) = HCF(357,348) = HCF(705,357) = HCF(1767,705) = HCF(2472,1767) = HCF(4239,2472) .
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Frequently Asked Questions on HCF of 4239, 2472 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 4239, 2472?
Answer: HCF of 4239, 2472 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4239, 2472 using Euclid's Algorithm?
Answer: For arbitrary numbers 4239, 2472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.