Highest Common Factor of 8874, 2439 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 8874, 2439 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 8874, 2439 is 9 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 8874, 2439 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 8874, 2439 is 9.
HCF(8874, 2439) = 9
HCF of 8874, 2439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8874, 2439 is 9.
Highest Common Factor of 8874,2439 is 9
Step 1: Since 8874 > 2439, we apply the division lemma to 8874 and 2439, to get
8874 = 2439 x 3 + 1557
Step 2: Since the reminder 2439 ≠ 0, we apply division lemma to 1557 and 2439, to get
2439 = 1557 x 1 + 882
Step 3: We consider the new divisor 1557 and the new remainder 882, and apply the division lemma to get
1557 = 882 x 1 + 675
We consider the new divisor 882 and the new remainder 675,and apply the division lemma to get
882 = 675 x 1 + 207
We consider the new divisor 675 and the new remainder 207,and apply the division lemma to get
675 = 207 x 3 + 54
We consider the new divisor 207 and the new remainder 54,and apply the division lemma to get
207 = 54 x 3 + 45
We consider the new divisor 54 and the new remainder 45,and apply the division lemma to get
54 = 45 x 1 + 9
We consider the new divisor 45 and the new remainder 9,and apply the division lemma to get
45 = 9 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 8874 and 2439 is 9
Notice that 9 = HCF(45,9) = HCF(54,45) = HCF(207,54) = HCF(675,207) = HCF(882,675) = HCF(1557,882) = HCF(2439,1557) = HCF(8874,2439) .
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Frequently Asked Questions on HCF of 8874, 2439 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 8874, 2439?
Answer: HCF of 8874, 2439 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8874, 2439 using Euclid's Algorithm?
Answer: For arbitrary numbers 8874, 2439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.